Complex Analysis and Operator Theory

Papers
(The TQCC of Complex Analysis and Operator Theory is 1. 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 2020-05-01 to 2024-05-01.)
ArticleCitations
On the Inequalities Concerning Polynomials16
Hadamard–Bergman Convolution Operators12
Inequalities for the Berezin number of operators and related questions11
Superoscillating Sequences and Supershifts for Families of Generalized Functions11
The Noncommutative Fractional Fourier Law in Bounded and Unbounded Domains11
The Sharp Bound of the Third Hankel Determinant for Starlike Functions of Order 1/211
A Note on the Three Dimensional Dirac Operator with Zigzag Type Boundary Conditions10
Normality and Self-Adjointness of Weighted Composition–Differentiation Operators9
A Schur–Nevanlinna Type Algorithm for the Truncated Matricial Hausdorff Moment Problem8
Numerical Radius Inequalities for Hilbert Space Operators8
Disjoint Dynamics on Weighted Orlicz Spaces8
A Derivative-Hilbert Operator Acting on the Bloch Space8
Cesàro Summability of Taylor Series in Weighted Dirichlet Spaces7
Inequalities Involving Berezin Norm and Berezin Number7
Poly-analytic Functions and Representation Theory7
Operator Norms and Essential Norms of Weighted Composition Operators from Analytic Function Spaces into Zygmund-type Spaces6
The Commutant of Some Shift Operators6
Homogeneously Polyanalytic Kernels on the Unit Ball and the Siegel Domain6
Fractional Multicomplex Polynomials5
Sturm–Liouville Problems with Transfer Condition Herglotz Dependent on the Eigenparameter: Eigenvalue Asymptotics5
Zero-Range Hamiltonian for a Bose Gas with an Impurity5
The $$\mathcal {F}$$-Resolvent Equation and Riesz Projectors for the $$\mathcal {F}$$-Functional Calculus5
Hausdorff Operators on Some Spaces of Holomorphic Functions on the Unit Disc5
Carleson and Reverse Carleson Measures on Homogeneous Siegel Domains5
Norm Estimates for Selfadjoint Toeplitz Operators on the Fock Space5
Nearly Invariant Subspaces with Applications to Truncated Toeplitz Operators5
Finite Rank Perturbations of Linear Relations and Matrix Pencils5
Octonionic Kerzman–Stein Operators5
On Entire Solutions of a Pythagorean Functional Equation and Associated PDEs4
Global Properties of Eigenvalues of Parametric Rank One Perturbations for Unstructured and Structured Matrices4
A Survey of Some Norm Inequalities4
The Dirichlet Problem for the Complex Monge–Ampère Operator on Strictly Plurifinely Pseudoconvex Domains4
Extension of the Bessmertnyĭ Realization Theorem for Rational Functions of Several Complex Variables4
Weighted Composition-differentiation Operators on the Bergman Space4
Weak Solutions to the Complex Hessian Type Equations for Arbitrary Measures4
Remarks on Hyponormal Toeplitz Operators on the Weighted Bergman Spaces4
k-Hankel Gabor Transform on $$\mathbb {R}^{d}$$ and Its Applications to the Reproducing Kernel Theory4
Modulation Spaces, Multipliers Associated with the Special Affine Fourier Transform4
Operator Theory on Noncommutative Polydomains, I4
Sums of Dual Toeplitz Products on the Orthogonal Complements of the Hardy–Sobolev Spaces4
Application of the Fractional Sturm–Liouville Theory to a Fractional Sturm–Liouville Telegraph Equation4
Composition Operators fronm Weak to Strong Vector-Valued Hardy Spaces3
Positive Toeplitz Operators Between Different Fock-Sobolev Type Spaces3
Multiplier and Composition Operator Between Several Holomorphic Function Spaces in $$\mathbf {C^{n}}$$3
Some New Applications of Berezin Symbols3
Multiple Sampling and Interpolation in Weighted Fock Spaces of Entire Functions3
Closure in the Logarithmic Bloch Norm of Dirichlet Type Spaces3
An Operator Version of the Jensen Inequality for s-Convex Functions3
Carleson Measures and Toeplitz Type Operators on Hardy Type Tent Spaces3
Convergent Expansions of Eigenvalues of the Generalized Friedrichs Model with a Rank-One Perturbation3
The Joint Spectrum for a Commuting Pair of Isometries in Certain Cases3
Nonlocal Fractional Differential Equations and Applications3
Continuous g-Frames with $$C^{*}$$-Valued Bounds and Their Properties3
Three-Representation Problem in Banach Spaces3
On Characterization of Hilbert Transform of Riemannian Surface with Boundary3
Condition Spectrum of Rank One Operators and Preservers of the Condition Spectrum of Skew Product of Operators3
Multi-orbital Frames Through Model Spaces3
Hörmander’s $$L^2$$-Method, $${\overline{\partial }}$$-Problem and Polyanalytic Function Theory in One Complex Variable3
Contributions to Modified Spherical Harmonics in Four Dimensions3
Dirac Operators with Gradient Potentials and Related Monogenic Functions3
Pseudo Numerical Ranges and Spectral Enclosures3
A Toeplitz-Like Operator with Rational Matrix Symbol Having Poles on the Unit Circle: Fredholm Properties3
Bounds on the Non-real Eigenvalues of Nonlocal Indefinite Sturm–Liouville Problems with Coupled Boundary Conditions3
Dolbeault and J-Invariant Cohomologies on Almost Complex Manifolds3
Hausdorff Operators on Weighted Banach Spaces of Type $$H^{\infty }$$3
Paley–Wiener–Schwartz Type Theorem for Ultradistributional Wavelet Transform3
Almansi-Type Theorem for Polymonogenic Functions in ballshell Domain2
Null Controllability of a Degenerate Schrödinger Equation2
Stability in Truncated Trigonometric Scalar Moment Problems2
Mandelbrot and Julia Sets of Complex Polynomials Involving Sine and Cosine Functions via Picard–Mann Orbit2
On the Rate of Polynomial Approximations of Holomorphic Functions on Convex Compact Sets2
Nearly Invariant Subspaces for Operators in Hilbert Spaces2
Weyl Sets in a Truncated Matricial Stieltjes Moment Problem2
Band Edge Limit of the Scattering Matrix for Quasi-One-Dimensional Discrete Schrödinger Operators2
Isometric Dilations of Commuting Contractions and Brehmer Positivity2
Characterizations of Square Roots of Unitary Weighted Composition Operators on $$H^2$$2
Heisenberg Uncertainty Principles for the Dunkl-Type Fock Space2
Global Properties of Eigenvalues of Parametric Rank One Perturbations for Unstructured and Structured Matrices II2
Topological Properties of Regular Boundary Domains in Riemannian Manifolds2
Representable Projections and Semi-Projections in a Hilbert Space2
New Paley–Wiener Theorems2
Generalized Hausdorff-Zhu Operators on Möbius Invariant Spaces2
A Note on Koliha-Drazin Invertible Operators and a-Browder’s Theorem2
Continuous Fredholm Theory, Regularities and Semiregularities2
Completeness Problem via Fixed Point Theory2
On Approximate Operator Representations of Sequences in Banach Spaces2
Commuting Tuples of Normal Operators in Hilbert Spaces2
Algebraic Properties of Toeplitz Operators on the Symmetrized Polydisk2
Spectrum of the Cesàro Operator on the Ultradifferentiable Function Spaces $${\mathcal E}_\omega ({\mathbb {R}}_+)$$2
The Zak Transform on Gelfand–Shilov and Modulation Spaces with Applications to Operator Theory2
Application of Abstract Semigroup Theory to the Asymptotic Behavior of $$C_0$$-Semigroups2
Yet Another Approach to Poly-Bergman Spaces2
On a Singular Sylvester Equation with Unbounded Self-Adjoint A and B2
Hinčin’s Theorem for Additive Free Convolutions of Tracial R-Diagonal $$*$$-Distributions2
Clifford Analysis with Indefinite Signature2
The Generalised Laplace Operator and the Topological Characteristic of Removable $$ {\overline{S}} $$ - Singular Sets of Subharmonic Functions2
Integration of Functions of a Hyperbolic Variable2
Equivalent Norms on Generalized Fock Spaces and the Extended Cesàro Operators2
Generalized Inverses of Conditional Type Operators2
Bicomplex Polyharmonicity and Polyholomorphy2
Existence of Extremals of Dunkl-Type Sobolev Inequality and of Stein–Weiss Inequality for Dunkl Riesz Potential2
Revitalising Pedrick’s Approach to Reproducing Kernel Hilbert Spaces2
Numerical Radius Inequalities for Finite Sums of Operators2
Discrete Hardy Spaces for Bounded Domains in $${\mathbb {R}}^{n}$$2
On the Operator Hermite–Hadamard Inequality2
Quantum Permutation Matrices2
Topological Structure of the Space of Composition Operators Between Different Fock Spaces2
Self-Adjoint Extensions with Friedrichs Lower Bound2
Spectral Analysis of Perturbed Fredholm Operators2
Ambarzumian-type Problems for Discrete Schrödinger Operators2
Arithmetic and Analysis of the Series $${ \sum _{n=1}^{\infty } \frac{1}{n} \sin \frac{x}{n} }$$2
2-Complex Symmetric Weighted Composition Operators on the Weighted Bergman Spaces of the Half-Plane2
Embedding Theorems and Area Operators on Bergman Spaces with Doubling Measure2
On the Location of Zeros of Polynomials2
Characteristic Polynomials of Random Banded Hessenberg Matrices and Hermite–Padé Approximation2
Equivalent Characterizations and Pointwise Multipliers of Normal Weight Dirichlet Space on the Unit Ball2
Weak Solutions to the Complex m-Hessian Type Equation on Open Subsets of $${\mathbb {C}}^n$$2
Spectral Analysis Near Regular Point of Reducibility and Representations of Coxeter Groups2
Hölder Continuity of Generalized Harmonic Functions in the Unit Disc2
Riesz Projection and Essential S-spectrum in Quaternionic Setting1
Special Toeplitz Operators on n-Dimensional Generalized Hartogs Triangles1
On a Class of Integral Systems1
Randomization in Generalized Mixed Norm Spaces1
Radon Transforms in Hyperbolic Spaces and Their Discrete Counterparts1
A Schwarz Lemma for the Symmetrized Polydisc Via Estimates on Another Family of Domains1
On Certain Functional and Partial Differential Equations, II1
Noncommutative Schwarz lemma and Pick–Julia Theorems for Generalized Derivations in Norm Ideals of Compact Operators1
Quaternionic Convolutional Neural Networks with Trainable Bessel Activation Functions1
Mean Convergence of Entire Interpolations in Weighted Space1
Closures of Bergman–Besov Spaces in the Weighted Bloch Spaces on the Unit Ball1
Dual Convolution for the Affine Group of the Real Line1
Multivalued Linear Operator Equation $$A^{*}A = \lambda A^{n}$$1
Szegő and Widom Theorems for Finite Codimensional Subalgebras of a Class of Uniform Algebras1
Asymptotics and Isometries of Weighted Composition Operators on Banach Spaces of Holomorphic Functions1
Riccati Equations Revisited: Linearization and Analytic Interpretation of Instanton-Type Solutions1
Toeplitz Operators Associated with the Deformed Windowed Fourier Transform1
The Haseman Boundary Value Problem with Quasicontinuous Coefficients and Shifts1
Bochner–Hecke Theorems in the Generalized Weinstein Theory Setting1
Toeplitz Operators with Homogeneous Symbols on Polyharmonic Spaces1
On Fiber Bundles and Quaternionic Slice Regular Functions1
Global Plemelj Formula of Slice Dirac Operator in Octonions with Complex Spine1
Existence of Geodesic Spirals for the Kobayashi–Fuks Metric on Planar Domains1
Approximation in Weighted Analytic Besov Spaces and in Generalized Fock Spaces1
Solvability Criterion for Convolution Equations on a Half-Strip1
Moment Infinite Divisibility of Weighted Shifts: Sequence Conditions1
Catalan Numbers and Free Distributions of Mutually Free Multi Semicircular Elements1
Some New Characterizations of a Hermitian Matrix and Their Applications1
Harmonic Bergman Spaces on the Real Hyperbolic Ball: Atomic Decomposition, Interpolation and Inclusion Relations1
A Cauchy Transform for Polymonogenic Functions on Fractal Domains1
Holomorphic Spectral Theory: A Geometric Approach1
Completing an Operator Matrix and the Free Joint Numerical Radius1
Average and Convolution Sampling over Shift-Invariant Spaces1
Sums of Polyanalytic Dual Toeplitz Products1
Schanuel’s Lemma for Exact Categories1
Density of Frame Wavelets and Tight Frame Wavelets in Local Fields1
Scattering Operator and Wave Operators for 2D Schrödinger Operators with Threshold Obstructions1
The Exact Number of Orthogonal Exponentials of a Class of Moran Measures on $$\mathbb {R}^{3}$$1
Level Sets of the Hyperbolic Derivative for Analytic Self-Maps of the Unit Disk1
Rational Penta-Inner Functions and the Distinguished Boundary of the Pentablock1
Uncertainty Principles and Differential Operators on the Weighted Bergman Space1
Solutions for a Nonlocal Elliptic System with General Growth1
Products of Positive Operators1
Distributions for Nonsymmetric Monotone and Weakly Monotone Position Operators1
Cauchy Formulae and Hardy Spaces in Discrete Octonionic Analysis1
Stević-Sharma Operator on Spaces of Vector-Valued Holomorphic Functions1
A Peak Set with a Maximal Hausdorff Dimension on Each Slice1
Geometric Properties of the Pentablock1
Higher Dimensional Numerical Range of $$\xi $$-Lie Products on Bound Self-adjoint Operators1
Commuting Toeplitz Operators on Cartan Domains of Type IV and Moment Maps1
Real Hardy Space, Multidimensional Variations, and Integrability of the Fourier Transform1
Frame Wavelets of Local Fields with No Dual Wavelet Frames1
The Reducibility of Truncated Toeplitz Operators1
Unbounded Wiener–Hopf Operators and Isomorphic Singular Integral Operators1
Bergman Kernels of Two Dimensional Monomial Polyhedra1
Quaternion Hyperbolic Fourier Transforms and Uncertainty Principles1
Functions and Operators in Real, Quaternionic, and Cliffordian Contexts1
A Differential Operator Representation of Continuous Homomorphisms Between the Spaces of Entire Functions of Given Proximate Orders1
Slantification of Hankel Operators on Hardy Space of n-torus1
Riesz–Kolmogorov Type Compactness Criteria in Function Spaces with Applications1
Extension of Besov-Q Type Spaces via Convolution Operators with Applications1
Exterior Powers and Pointwise Creation Operators1
A-Isometries and Hilbert-A-Modules Over Product Domains1
Best Approximations in a Class of Lorentz Ideals1
Flexibility of Analysis Serving Computational Polynomial Algebra or Arithmetics1
Toeplitz Operators on the Fock Space with Quasi-Radial Symbols1
Boundedness of the Orthogonal Projection on Harmonic Fock Spaces1
Fredholm Weighted Generalized Composition Operators1
Weighted Composition Semigroups on Some Banach Spaces1
The Resolution of Euclidean Massless Field Operators of Higher Spins on $${\mathbb {R}}^6$$ and the $$L^2$$ Method1
Cloning of Symmetric Operators1
Complex Symmetry of Invertible Composition Operators on Weighted Bergman Spaces1
On the Plane Lamé–Navier System in Fractal Domains1
Carleson Measures for Harmonic Fock Spaces in the Plane1
A Note on Generalized Tricircular Projections on Spaces of Bounded Variation Functions1
Commutative Toeplitz Algebras and Their Gelfand Theory: Old and New Results1
Riemann–Liouville and Caputo Fractional Potentials Associated with the Number Operator1
Some Fundamental Formulas for an Integration on Infinite Dimensional Hilbert Spaces1
Necessary Conditions for Boundedness of Translation Operator in de Branges Spaces1
Imaginary Powers of (k, 1)-Generalized Harmonic Oscillator1
Vector-Valued Reproducing Kernel Hilbert $$C^*$$-Modules1
Integral Estimates and Multiplier Operators from Normal Weight General Function Spaces to Bloch Type Spaces1
The Berger–Coburn Phenomenon for Hankel Operators on the Fock Space1
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