Journal of Pseudo-Differential Operators and Applications

Papers
(The median citation count of Journal of Pseudo-Differential Operators and Applications is 0. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-08-01 to 2025-08-01.)
ArticleCitations
Estimates for the first eigenvalue of diffusion-type operators in weighted manifolds18
Frame wavelet set and frequency frame wavelet in $$L^2({\mathbb {R}}^n)$$12
Long time behavior of solutions for time-fractional pseudo-parabolic equations involving time-varying delays and superlinear nonlinearities11
Energy estimates and global well-posedness for a broad class of strictly hyperbolic Cauchy problems with coefficients singular in time11
Lorentz Herz-Morrey spaces with applications10
Weighted composition operator on Gamma spaces with variable exponent10
Moduli of smoothness and generalized canonical Fourier–Bessel diffrential operator on the half-line9
Special Fourier integral operators of types I and II with function-variable symbols: definition, relation to metaplectic transform, and Heisenberg’s uncertainty principles9
Hartley-Bessel transform for integrable Boehmians9
Anisotropic Fractional Leibniz Rule9
Boundedness of multilinear pseudo-differential operators with $$S_{0,0}$$ class symbols on Besov spaces8
Weak solvability and well-posedness of some fractional parabolic problems with vanishing initial datum8
$$\Theta $$-type Calderón–Zygmund operator and its commutator on (grand) generalized weighted variable exponent Morrey space over RD-spaces7
Phase retrieval and norm retrieval in tensor product space7
Estimates for Hausdorff operator associated with the Opdam–Cherednik transform and its commutator on weighted Morrey–Herz spaces7
Bilinear multipliers on Orlicz spaces on locally compact groups7
On a class of Kirchhoff problems with nonlocal terms and logarithmic nonlinearity7
Commutators of bilinear $$\theta $$-type Calderón–Zygmund operators on two weighted Herz spaces with variable exponents7
Initial value problems for heat equations generated by strongly elliptic $$(\rho ,\Lambda )$$-pseudo-differential operators on $${\mathbb {R}}^{n}$$6
The heat semigroups and uncertainty principles related to canonical Fourier–Bessel transform6
Oblique dual and g-dual frames in separable quaternionic Hilbert spaces6
Estimates for a certain bilinear Fourier integral operator5
Eigenvalue asymptotics and exponential decay of eigenfunctions for the fourth order Schrödinger type operator5
Properties and applications of quaternion quadratic phase Fourier transforms5
Toeplitz operators for the Gabor spherical mean transform5
Pseudo-differential operators in several p-adic variables and sub-Markovian semigroups5
Fractional non-isotropic n-dimensional modified Stockwell transform: properties and inequalities5
Monotonicity and symmetry of solutions to fractional p-laplacian systems4
Representations of frames via iterative actions of operators in tensor product spaces4
Positivity results for Weyl’s pseudo-differential calculus on the Wiener space4
Kirchhoff type mixed local and nonlocal elliptic problems with concave–convex and Choquard nonlinearities4
New quadratic phase Wigner distribution and ambiguity function with applications to LFM signals4
Formation of Turing patterns in the Schnakenberg system over the p-adic integers4
Wave front sets of Riesz type on Minkowski space4
Weighted estimates for pseudo-differential operators with weak regular symbols and their commutators4
A note on a generalized singular capillarity system with $$\Im $$-Hilfer fractional derivative4
Optimal $$L^{2}$$-growth of the generalized Rosenau equation4
On a Caputo-type fractional derivative respect to another function using a generator by pseudo-operations4
Complex FIOs and composition of Toeplitz operators4
Normal extensions for degenerate conformable fractional $$\alpha $$-order differential operator4
Amrein–Berthier and Logvinenko–Sereda uncertainty principles for the Hankel–Stockwell transform4
$${\mathcal {L}}$$-invariant and radial singular integral operators on the Fock space4
Morse’s theory and local linking for a fractional $$(p_{1}(\textrm{x}.,), p_{2}(\textrm{x}.,))$$: Laplacian problems on compact manifolds4
Ultradistributions on $$ {\mathbb {R}}_{+}^{n}$$ and solvability and hypoellipticity through series expansions of ultradistributions3
Pseudo-differential operators on local Hardy spaces associated with ball quasi-Banach function spaces3
Product local Hardy spaces associated with ball quasi-Banach function spaces3
The general Dabrowski–Sitarz–Zalecki type theorem for odd dimensional manifolds with boundary III3
The pseudo-differential perturbations of the Dirac operator and the Kastler-Kalau-Walze type theorems3
A stability result of a Timoshenko beam system with a delay term in the internal fractional feedback3
An $$n-$$dimensional pseudo-differential operator involving quadratic phase Fourier transform and applications in quantum mechanics3
Time-frequency analysis associated with multidimensional Hankel-Gabor transform3
Uncertainty principles for the multidimensional quadratic-phase Fourier transform3
A discrete algorithm for general weakly hyperbolic systems3
Three solutions for a fractional p-Laplacian problem3
Representation of frames as regular k-distance sets3
Statistical de Rham Hodge operators and general Kastler-Kalau-Walze type theorems for manifolds with boundary3
Properties of bounded representations for G-frames3
Generalised Hardy type and Rellich type inequalities on the Heisenberg group3
Integrability problems and Boas type results for Hartley-Bessel transforms3
Hardy–Sobolev equation with negative power and sign-changing nonlinearity on closed manifolds3
Existence results for nonnegative solutions of weighted quasilinear systems including subcritical and critical growths3
Solvability of fractional integral equations via Darbo’s fixed point theorem3
Fractional Hankel transform in Colombeau algebra3
Toeplitz operators and composition operators on the q-Bergman space3
Equivalence relations and distances between generalized frames3
Heisenberg uncertainty principle for Gabor transform on compact extensions of $$\mathbb {R}^n$$3
Aspect of invariant properties of Orlicz amalgam spaces with respect to Banach spaces3
Fractional Hankel wavelet transform on the Schwartz type space3
Boundary value problem with tempered fractional derivatives and oscillating term3
New classes of p-adic pseudo-differential operators with negative definite symbols and their applications3
Uncertainty principles for the biquaternion offset linear canonical transform3
On $$L^2$$ boundedness of rough Fourier integral operators2
Different approach to the decomposition theory of $$HM^p_{q,{\varDelta _{\nu }}}$$ Hardy–Morrey spaces2
Growth properties of Hartley transform via moduli of continuity2
Strong and weak estimates of a class of bilinear fiber-wise pseudo-differential operators2
Recovering initial population density of fractional pseudo-parabolic problem associated with a nonlinear reaction2
Donoho-Stark uncertainty principle associated to the index Whittaker wavelet transform2
The fractional logarithmic Schrödinger operator: properties and functional spaces2
Mixed local and nonlocal equation with singular nonlinearity having variable exponent2
Quadratic-phase wavelet scalogram2
On a singular $$p(x,\mathbin {\cdot })$$-integro-differential elliptic problem2
A simple criterion for essential self-adjointness of Weyl pseudodifferential operators2
Estimates for the Berezin number inequalities2
The localization operator and wavelet multipliers involving the Watson transform2
Sharp Pitt’s inequality and Beckner’s logarithmic uncertainty principle for the Weinstein transform2
Truncation quantization in the edge calculus2
Propagation of anisotropic Gelfand–Shilov wave front sets2
Generalized Pizzetti’s formula for Weinstein operator and its applications2
Localization operators related to Stockwell transforms on locally compact abelian groups2
On fractional (p, q)-Laplacian equations involving subcritical or critical Hardy exponents2
Correction to: A simple proof of Kotake–Narasimhan theorem in some classes of ultradifferentiable functions2
Pseudo-differential operators associated with a pair of quadratic-phase Hankel transformations2
Modified version of fixed point theorems and their applications on a fractional hybrid differential equation in the space of continuous tempered functions2
Modified scattering for the higher-order KdV–BBM equations2
Extended Sobolev scale on $$\mathbb {Z}^n$$2
Study of a sequential $$\psi $$-Hilfer fractional integro-differential equations with nonlocal BCs2
Pseudo-differential operators associated with the coupled fractional Fourier transform and its application2
Characterizations of weaving for g-frames by induced sequences2
Solvability of a generalized two dimensional nonlinear fractional integral equation2
On g-frame representations via linear operators2
The Wigner global wave front set in spaces of tempered ultradistributions2
Unique continuation for fractional p-elliptic equations1
On single-layer potentials, pseudo-gradients and a jump theorem for an isotropic $$\alpha $$-stable stochastic process1
Quasinormable Fréchet spaces and M. W. Wong’s inequality1
Renormalization and pseudodifferential operators1
Berezin number and Berezin norm inequalities via Moore-Penrose inverse1
Weighted boundedness of variation operators for fractional heat semigroups related to the Schrödinger operator1
A Poincaré determinant on the torus1
Solvability of infinite systems of Caputo–Hadamard fractional differential equations in the triple sequence space $$c^3(\triangle )$$1
Symmetrically global pseudo-differential operators involving the Weinstein transform1
Index Whittaker transforms over Lebesgue spaces1
Modular convergence of semi-discrete neural network operators in Orlicz space1
Mellin integral transforms and generalized Lipschitz and Zygmund spaces1
Restriction theorem for the Fourier–Dunkl transform I: cone surface1
Continuity properties of multi-parameter pseudodifferential operators via calculus of symbols1
Global hypoellipticity of G-invariant operators on homogeneous vector bundles1
On the boundedness of rough bi-parameter Fourier integral operators1
Radial solutions of a pseudo-differential equations associated with a p-adic non-local ultradiffusion operator1
Fractional Kirchhoff-Choquard system with upper critical exponent and singular nonlinearity1
The convergence constants and non linear approximations of fusion frames1
Geodetically convex sets in the Heisenberg group $${\mathbb {H}}^n$$, $$n \ge 1$$1
The Hartley–Bessel function: product formula and convolution structure1
$$L^{\infty }$$-BMO boundedness of some pseudo-differential operators1
Windowed linear canonical transform and its applications to the time-frequency analysis1
A weighted $$L_p$$-regularity theory for parabolic partial differential equations with time-measurable pseudo-differential operators1
A spectral multiplier theorem for Hardy spaces associated with Schrödinger operator on the Heisenberg group1
Wiener amalgam spaces with respect to orlicz spaces on the affine group1
Chracterization of generalized Campanato spaces with variable exponents via fractional integrals1
A new approach to neural networks using pseudo-differential operators1
Localization operators for the windowed Kontorovich Lebedev transform1
Continuity properties of multi-parameter pseudodifferential operators on Bony class1
Wave packet frames in linear canonical domains: construction and perturbation1
Gelfand-Shilov boundedness of the gyrator wavelet transform1
Weighted norm inequalities related to fractional Schrödinger operators1
On wavelet multiplier and Landau–Pollak–Slepian operators on $$L^{2}(G,{\mathbb {H}})$$1
A fixed point result via new condensing operator and its application to a system of generalized proportional fractional integral equations1
Asymptotics for the fractional nonlinear Schrödinger equation with $$2<\alpha <\frac{5}{2}$$1
Linear and nonlinear pseudo-differential operators on p-adic fields1
Boas-type theorems for Laguerre type operator1
Iterative algorithm and theoretical treatment of existence of solution for (k, z)-Riemann–Liouville fractional integral equations1
Nonnegative solutions and multiple solutions for a class of weighted Hamiltonian subelliptic systems1
Subspace dual and orthogonal frames by action of an abelian group1
Solvability in the sense of sequences for some logarithmic Schrödinger operators in higher dimensions1
Calculus of k-fractional derivative with respect to monotonic functions1
Phase space Feynman path integrals of parabolic type on the torus as analysis on path space1
$$L^p$$-Sobolev spaces and coupled potential operators associated with coupled fractional Fourier transform1
Time-frequency concentration and localization operators associated with the directional short-time fourier transform1
$$\tau $$-quantization and $$\tau $$-Cohen classes distributions of Feichtinger operators1
Matrix-Wigner global wave front sets in ultradifferentiable classes1
Optimal semiclassical spectral asymptotics for differential operators with non-smooth coefficients1
A Dyson-type series solution to some time-dependent Schrödinger equations on finite adeles1
Hyperbolic problems with totally characteristic boundary0
Logvinenko-Sereda type theorems for the short time Fourier transform0
A useful extension of Mittag-Leffler type fractional derivatives with respect to functions: An application to a fractional Lotka-Volterra system0
Existence of sign-changing solutions for $$\phi $$-Hilfer fractional double-phase problem involving nonlocal nonlinearity0
On K-woven frames in Hilbert $$C^{*}$$-modules0
An extension of localization operators0
The octonionic ripplet transforms: a mathematical perspective0
Wave equations with a damping term degenerating near low and high frequency regions0
The poly-axially wavelet transform and applications0
Boundedness and uniqueness of quaternion Weyl transform0
Pseudo-duals of continuous frames in Hilbert spaces0
Two disjoint and infinite sets of solutions for a nonlocal problem involving a Hardy potential and critical growth with concave nonlinearities0
Weighted inequalities for multilinear fractional operators in Dunkl setting0
On the partial and microlocal regularity for generalized Métivier operators0
Well-posedness and blow-up of solutions for the p(l)-biharmonic wave equation with singular dissipation and variable-exponent logarithmic source0
$$L^{p}$$-regularity of rough bi-parameter Fourier integral operators0
Global $$H^{s,2+\delta }$$ estimates for weak solutions of fractional nonlocal divergence form equations0
Tighter Heisenberg–Weyl type uncertainty principle associated with quaternion wavelet transform0
Boundedness and compactness of commutators related with Schrödinger operators on Heisenberg groups0
$$\alpha $$-Windowed Fourier transform ($$\alpha $$-WFT)0
Commutators of singular $$\varvec{\mathbb {K}}$$-pseudodifferential operators in $$\varvec{\mathbb {R}_n}$$0
Blow-up and global existence of solutions for a new class of parabolic $$p(\textrm{x}, \cdot )-$$ Kirchhoff equation involving nonlinearity logarithmic0
A more direct way to the Cauchy problem for effectively hyperbolic operators0
Semilinear degenerate elliptic equation in the presence of singular nonlinearity0
Logarithmic counterpart for semilinear Schrödinger equations0
A nonlinear stochastic heat equation with variable thermal conductivity and multiplicative noise0
Existence results for variable exponents weighted quasilinear elliptic equations with degenerate Leray-Lions operators, indefinite nonlinearity, and Hardy-type term0
A universal identifier for communication channels0
Hardy type uncertainty principles for fractional Hankel transform0
Canonical Fourier-Bessel transform and their applications0
Basic calculus of pseudodifferential operators with nonsmooth symbols0
Boundedness for Littlewood-Paley functions on weighted Morrey-type spaces related to certain nonnegative potentials0
Existence and blow-up of solutions for a class of semilinear pseudo-parabolic equations with cone degenerate viscoelastic term0
Wigner-Ville distribution function in the framework of linear canonical transform0
Frame multiresolution analysis on $${\mathbb {Q}}_p$$0
Controlled continuous $$*$$-g-frames in Hilbert $$C^{*}$$-modules0
Growth and blow-up of solutions for a viscoelastic wave equation with logarithmic source, fractional conditions, and non-linear boundary feedback0
Mapping properties for operators on Herz-Morrey and Herz-Morrey-Hardy spaces0
The infinite-order integro-differential operator related to the Lebedev–Skalskaya transform0
Uncertainty principles for the continuous Kontorovich Lebedev wavelet transform0
Sharp estimates for convolution operators associated to hypersurfaces in $${\mathbb {R}}^3$$ with height $$h\le 2$$0
Fractional Euclidean bosonic equation via variational0
Semilinear fractional elliptic equations with combined nonlinearities and measure data0
Investigation of fractional order inclusion problem with Mittag-Leffler type derivative0
Two-weighted estimates for multilinear Hausdorff operators and commutators on stratified groups0
Localization operators associated to linear canonical Dunkl wavelet transform0
Sharp reverse fractional Hausdorff inequality on power-weighted Lebesgue spaces0
A direct proof of the Sharp Gårding inequality for symbols with limited smoothness0
Phase-space Feynman path integrals on a torus with general functional integrands via piecewise bicharacteristic paths0
An interplay between parameter (p, q)-Boas transform and linear canonical transform0
Linear canonical deformed Hankel transform and the associated uncertainty principles0
Uncertainty principles for the offset linear canonical transform0
Group classification and constructing conservation laws for time-fractional Sawada–Kotera–Parker–Dye equation0
An integral representation of pseudo-differential operators involving weinstein transform0
Essential spectra and semigroups of perturbations of generalized SG-hypoelliptic pseudo-differential operators on $$L^{p}\left( {\mathbb {R}}^{n}\right) $$0
Five ways to recover the symbol of a non-binary localization operator0
On the Sobolev boundedness of vector fields on compact Riemannian manifolds0
A note on operating functions of modulation spaces0
Well posedness and general decay for a wave equation with logarithmic source term and distributed delay of fractional type0
Inverse problem for a multi-parameters space-time fractional diffusion equation with nonlocal boundary conditions: operational calculus approach0
Clifford-valued linear canonical wave-packet transform and corresponding uncertainty principles0
$$L^p$$ boundedness, r-nuclearity and approximation of pseudo-differential operators on $$\hbar \mathbb {Z}^n$$0
New classes of parabolic pseudo-differential equations, Feller semigroups, contraction semigroups and stochastic process on the p-adic numbers0
Convolution based fractional Wigner distribution and ambiguity function: theory and applications0
Solvability of an infinite system of fractional differential equations with p-Laplacian operator in a new tempered sequence space0
k-Hankel Wigner transform and its applications to the Localization operators theory0
A structure theorem for fundamental solutions of analytic multipliers in $${\mathbb {R}}^n$$0
Elliptic boundary value problems associated with isometric group actions0
Phase space representation of the density operator: Bopp pseudodifferential calculus and Moyal product0
Localization operators and wavelet multipliers involving two-dimensional linear canonical curvelet transform0
Fusion frames for operators and atomic systems0
Quasi-Banach algebras and Wiener properties for pseudodifferential and generalized metaplectic operators0
On the qualitative behavior of solutions for a quasilinear $$\Delta _p$$ equation in the Heisenberg group0
Some new estimates concerning the Mellin transform on the space $$X_{c}^{2}$$0
Spectral decomposition of Dunkl Laplacian and application to a radial integral representation for the Dunkl kernel0
Jackson’s inequalities in Laguerre hypergroup0
Some unexpected behaviors of operators with small time-frequency dispersion0
The directional short-time fractional Fourier transform of distributions0
On characterization and construction of bi-g-frames0
Weyl operator associated with index Whittaker transform0
p-adic Bessel $$\alpha $$-potentials and some of their applications0
On evolution of the classical heat and the quantum wave generated by the Laplacian on the Heisenberg group0
Boundedness of vector-valued Calderón-Zygmund operators on non-homogeneous metric measure spaces0
Pseudodifferential operators on time-frequency invariant Banach spaces and applications to Gabor Frames0
Two classes of bilinear fractional integral operators and their commutators on generalized fractional Morrey spaces0
Existence of positive solutions to nonlinear singular parabolic equations with Hardy potential0
A holomorphic mapping property of analytic pseudo-differential operators0
Hausdorff operators associated with the Opdam–Cherednik transform in Lebesgue spaces0
Maximum principle for partially observed risk-sensitive optimal control problem of McKean–Vlasov FBSDEs involving impulse controls0
The discrete spectrum of the Neumann-Poincaré operator in 3D elasticity0
Fractional Fourier transform for space–time algebra-valued functions0
Investigation into double-phase elliptic problems with boundary conditions, incorporating a logarithmic convection term0
The novel Clifford-valued quadratic-phase wave packet transform and its applications0
A note on the inhomogeneous fourth-order Schrödinger equation0
A new uncertainty principle related to the generalized quaternion Fourier transform0
$$\Theta $$-type fractional Marcinkiewicz integral operators and their commutators on some spaces over RD-spaces0
Pseudo-differential operators on Orlicz modulation spaces0
Uncertainty principles for the fractional quaternion fourier transform0
Solution theory to semilinear parabolic stochastic partial differential equations with polynomially bounded coefficients0
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