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 2021-11-01 to 2025-11-01.)
ArticleCitations
Steven George Krantz (1951 -) Celebrates his 70th Birthday27
Fredholm Index of 3-Tuple of Restriction Operators and the Pair of Fringe Operators for Submodules in $$H^2({\mathbb {D}}^3)$$23
On Hardy-Like Spaces Induced by Tracial Unital Banach $$*$$-Probability Spaces17
On the Toeplitz Algebra in the Case of All Entire Functions and All Functions Holomorphic in the Unit Disc10
Slice Spirallike Functions over Quaternions10
Factorizations of Characteristic Functions of Iterated Liftings10
Dirichlet Problem for Nonlinear Higher-Order Equations in Upper Half Plane9
Carleson Measures and Toeplitz Operators Between Bergman Spaces on the Siegel Upper Half-space9
Gradient Estimates in the Whole Space for the Double Phase Problems by the Maximal Function Method9
Boundary Method for Differential Subordinations of the Geometric Mean8
Optimal Feedback Control of $$\psi $$-Hilfer Fractional Differential System with Hemivariational Inequalities8
Cospectral Trees Indistinguishable by Scattering8
Quantitative Cohomological Properties of Banach Algebras7
Sharper Paley-Wiener Theorem for the Dunkl Transform on $$\mathbb {R}^d$$7
Sums of Polyanalytic Dual Toeplitz Products7
On Discrete Conjugate Harmonic Functions in Hypercomplex Analysis7
Characterization of Dual Scalable Frames7
On the Limit Mapping of a Sequence of Open, Discrete Mappings Satisfying an Inverse Poletsky Modular Inequality7
Riesz Projection and Essential S-spectrum in Quaternionic Setting7
Hadamard–Bergman Operators on Weighted Spaces6
A Class of Nonlinear Hilfer Fractional Differential Control System with Distributed Delay and Damping6
Non-spectrality of a class of Moran measures on $$\mathbb {R}^{3}$$6
Operator Power means in the View of Fixed Points6
Some Operators on Minimal $$\alpha $$-Möbius Invariant Function Spaces6
Local Spectral Theory for Unbounded Product of Nonnegative Selfadjoint Operators6
Three-Jets Determinations of Normalized Proper Holomorphic Maps from $$ \mathbb {H}_n$$ into $$\mathbb {H}_{3n-2}$$6
The Boundedness of Forelli–Rudin Type Operators on the Siegel Upper Half Space6
Numerical Radius and Norm Bounds via the Moore-Penrose Inverse6
Stochastic Clairaut Equation on Algebra of Generalized Functions6
On Characterization of Hilbert Transform of Riemannian Surface with Boundary6
Blow-Up Theorems for p-Sub-Laplacian Heat Operators on Stratified Groups5
A Note on the Invariant Subspace Problem5
Inequalities Involving Berezin Norm and Berezin Number5
Complex Interpolation Between Two Mixed Norm Bergman Spaces in Tube Domains Over Homogeneous Cones5
Uniqueness Problem for Level-1 Linearly Non-Degenerate Holomorphic Mappings Concerning Hypersurfaces5
A Generalization of Ando’s Dilation, and Isometric Dilations for a Class of Tuples of q-Commuting Contractions5
Poincaré Type Results on a k-Dimensional Torus5
Results on Approximate Controllability of $$\Psi $$-Hilfer Fractional Control Semilinear Systems via Gronwall’s Inequality5
Frame Wavelets of Local Fields with No Dual Wavelet Frames5
On the Asymptotic Behavior of Retarded Boundary Control Systems with Dynamic Boundary Conditions: Semigroup Approach5
Singular Integral Operators with Rough Kernel on Function Spaces Over Local Fields5
Kharitonov’s Theorem with Degree Drop: a Wronskian Approach5
m-Complex Symmetric Weighted Composition Operators on the Fock Space4
Toeplitz Operators Associated with the Deformed Windowed Fourier Transform4
Fundamental Solutions for the Laplace–Beltrami Operator Defined by the Conformal Hyperbolic Metric and Jacobi Polynomials4
Periodic Functions: Self-Intersection and Local Singular Points4
A Note on $$C^*$$-Algebra of Toeplitz Operators with $$\mathcal {L}$$-Invariant Symbols4
A Numerical Radius Inequality for Hilbert–Schmidt Operators4
Left-Invertibility of Rank-One Perturbations4
Generalized Volterra Integral Operators on Fock Spaces4
On Recovering Dirac Operators with Two Delays4
On My Joint Work with Harry Dym4
The Cauchy Transform of the Square Root Function on the Circle4
On the c-Entropy of L-Systems with Schrödinger Operator4
Constructive of the Generalized Noise Process Based on Interacting Fock Spaces4
Discrete Quaternion Quadratic Phase Fourier Transform4
Approximation by Meromorphic k-Differentials on Compact Riemann Surfaces3
Corona Theorem for the Classical Fock Space3
A Class of Norm Inequalities for Operator Monotone Functions and Hyponormal Operators3
Quantum Mechanics of Arc-Sine and Semi-Circle Distributions: A Unified Approach3
Correction to: Canonical Decomposition of Operators Associated with the Symmetrized Polydisc3
Compact Complex p-Kähler Hyperbolic Manifolds3
Laurent Expansion and $$L_{2}$$-Boundary Values in Hermitian Clifford Analysis3
Average and Convolution Sampling over Shift-Invariant Spaces3
Fredholmness of Singular Integral Operators with Complex Conjugation on Star-Like Curves with Cusps3
Characterizations of Finite Order Solutions of Circular Type Partial Differential-Difference Equations in $$ \mathbb {C}^n $$3
Harmonic Analysis Associated with the Jacobi–Dunkl Operator on $$(-\pi ,\pi )$$: Exotic Cases3
On Frames of the Form $$\{T^k \varphi \}_{k=0}^\infty $$: Conditions and Characterizations3
Generalized Hausdorff-Zhu Operators on Möbius Invariant Spaces3
A Short Proof of the Lemma of the Logarithmic Derivative in Several Complex Variables3
Poisson’s Equation for Abel-Ergodic Theorems3
A Short Proof for the Twisted Multiplicativity Property of the Operator-Valued S-transform3
Minimal Invariant Subspaces for an Affine Composition Operator3
An Operator-Valued Analogue of a Result of Bombieri3
Some New Characterizations of a Hermitian Matrix and Their Applications3
Exploring Cohomology, Deformations, and Hom-NS Structures in Hom-Leibniz Conformal Algebras Through Nijenhuis Operators3
Stability Estimates in Determination of Non-orientable Surface from Its Dirichlet-to-Neumann Map3
Approximation in the Mean on Rational Curves3
Non-Self-Adjoint Block Convolution Operators of Scalar Type3
Deformations and q-Convolutions. Old and New Results3
Fractional Gamma Noise Functionals3
Existence of Mild Solutions and Approximate Controllability of Stochastic Mixed Voltera - Fredholm Type Nonlinear Third-order Dispersion Equation3
Gaussian $$JN _p$$ Spaces3
Number Theoretic Related to the Scaling Spectrum of Self-similar Measure with Three Element Digit Sets3
Completing an Operator Matrix and the Free Joint Numerical Radius3
The Powers of Regular Linear Relations3
Quantum Permutation Matrices3
The Matricial Szegő Mapping from the Perspective of Schur Analysis3
Matrix Mean Inequalities for Sector Matrices3
The Joint Spectrum for a Commuting Pair of Isometries in Certain Cases3
Vekua-Type Systems Related to Two-Sided Dual k-Hypermonogenic Functions3
Slodkowski’s Spectra Of Some New Generalized Spherical Aluthge Transform3
Existence and Uniqueness of Hilfer-Katugampola Fractional Differential Equations with Almost Sectorial Operators2
Generalized Convolution Operator Associated with the (k, a)-Generalized Fourier Transform on the Real Line and Applications2
Comment to: Dynamics of Weighted Composition Operators2
On the Normality of the Sum of an Operator with its Drazin Inverse2
Extending Dirac and Faddeev-Jackiw Formalisms to Fractal First $$\alpha $$-Order Lagrangian Systems2
Weyl Sets in a Non-degenerate Truncated Matricial Hausdorff Moment Problem2
Weighted Composition Semigroups on Spaces of Continuous Functions and Their Subspaces2
The Berberian’s Transform and an Asymmetric Putnam–Fuglede Theorem2
On the Structure of Real Operators2
A Study on Existence and Uniqueness for a Class of $${\psi }$$-Fractional Equations with Integro-Differential Terms and Functional Boundary Conditions2
On the Location of Zeros of Polynomials2
Free Probability on Banach Algebras Induced by Scaled Hypercomplex Numbers2
Geometric Interpolation in n-Tuples of Noncommutative $$L_p$$-Spaces2
Bergman Kernels for Monogenic and Contragenic Functions in the Interior and Exterior of a Sphere2
Weighted Pullback Transforms on Riemann Surfaces2
Characterizations of Square Roots of Unitary Weighted Composition Operators on $$H^2$$2
Properties of the Fractional Pascal Appell Polynomials in Infinite Dimensional2
Demicompactness Results and Frobenuis Schur’s Decomposition for Block Operator Matrices in Right Quaternionic Hilbert Spaces2
A-Isometries and Hilbert-A-Modules Over Product Domains2
Stepanov and Weyl Classes of c-Almost Periodic Type Functions2
Spectral Analysis of Perturbed Fredholm Operators2
Equivalent Norms on Generalized Fock Spaces and the Extended Cesàro Operators2
Completeness of Resonance States and Weyl Asymptotics of Resonances for Quantum Graphs2
Some Inequalities for Adjointable Operators on Hilbert $$C^*$$-Modules2
Carleson Measures for Weighted Harmonic Mixed-Norm Spaces and Toeplitz Operators2
Realization of Inverse Stieltjes Functions $$(-m_\alpha (z))$$ by Schrödinger L-Systems2
A Peak Set with a Maximal Hausdorff Dimension on Each Slice2
Jacobson’s Lemma for Spectral Idempotents in Banach Algebras2
Stability Behavior of Nonlinear Fractional Discrete Systems with Riemann-Liouville Nabla Dynamics of Order (1,2)2
Nevanlinna-Pick Interpolation in the Right Half-Plane2
Multipliers on Spaces of Holomorphic Functions2
The Sharp Bound of the Third Hankel Determinant for Starlike Functions of Order 1/22
The Bicomplex Dual Fractional Hankel Transform2
Heisenberg Uncertainty Principles for the Dunkl-Type Fock Space2
Study of the Operator $$\partial ^{k} \bar{\partial }^{k} + c$$ in the Weighted Hilbert Space $$L^2({\mathbb {C}}, {\text {e}}^{-\vert {\textrm{z}} \vert ^2})$$2
Topological Regularity for Solutions to the Generalised Hopf Equation2
$${{\mathcal {R}}}$$-Bounded Operator Families Arising from a Compressible Fluid Model of Korteweg Type with Surface Tension in the Half-Space2
Characterization of (Weak) Phase Retrieval Dual Frames2
Finite-Time Stability and Attractiveness of Uncertain Nonlinear Nabla Fractional Systems Involving Hilfer-Type Operators2
Hodge Decomposition for Generalized Vekua Spaces in Higher Dimensions2
Modulus of Smoothness and Approximation Theorems in Clifford Analysis2
Closures of Holomorphic Tent Spaces in Weighted Bloch Spaces2
The Threshold Effects for the Three-Particle Hamiltonians on Lattices2
Correction to: Almansi-Type Decomposition for Slice Regular Functions of Several Quaternionic Variables2
Characterization of Forward, Vanishing, and Reverse Bergman Carleson Measures using Sparse Domination2
The Number and Location of Eigenvalues for the Two-Particle Schrödinger Operators on Lattices2
On The Monotony of Struve Functions2
A Note on the Order Lozanovsky Spectrum for Positive Operators2
Basic Properties of Solutions of Boundary Value Problem for the Dirac-Wave Operator2
Boas Type Results for Two-Sided Quaternion Fourier Transform and Uniform Lipschitz Spaces2
Uncertainty Principles with Discrete Quaternion Fourier Transforms2
Gateaux Differentiability in the Banach Space of Meromorphic Functions2
Hilbert Transform, Nevanlinna Class and Toeplitz Kernels2
Biquaternion Windowed Linear Canonical Transform and Associated Uncertainty Inequalities2
Linear Canonical Bargmann Transform2
Fractional Neutral Pantograph Systems with Non-Singular Kernel: Analysis and Numerical Approximation2
Localization Operators and Scalogram in the Framework of Mehler–Fock Wavelet Transform2
Some New Applications of Berezin Symbols1
The Analysis of Functions in Some Algebras of Order 3 with Unit1
Time optimal control results for Hilfer fractional neutral stochastic differential equations1
Results Concerning to Existence and Controllability of Hilfer Fractional Stochastic Integrodifferential Evolution Hemivariational Inequalities of Order $$1<\mu <2$$ with Mixed fBm1
Continuous Dependence of Szegő Kernel on a Weight of Integration1
Cameron-Storvick Type Theorems for Conditional Modified Generalized Analytic Function Space Feynman Integrals1
Spectral properties of symmetric additive measures of Lebesgue type in the plane1
Nonlinear Riemann-Hilbert Problems for Axial- and Bi-axial-monogenic Functions1
Rough Singular Integral Operators, Spherical Maximal Functions and Maximal Bochner-Riesz Operators on Grand Morrey Spaces1
Uncertainty Principles and Differential Operators on the Weighted Bergman Space1
On the Equicontinuity of Generalized Quasiconformal Mappings by Prime Ends1
Composition Operators on Function Spaces on the Halfplane: Spectra and Semigroups1
The Sharp Bounds of the Third Hankel Determinant for Starlike Mappings and Starlike Mappings of Order 1/2 in Complex Banach Spaces1
The Borel-Pompeiu Formula of Weighted k-Holomorphic Functions and its Related Properties1
On the Spectral Gap of a Discrete Schrödinger Operator on the Path Graph in the Limit of Large Volume1
Analysis of Well-Posedness for Second-Order Explicit Neutral Integro-Differential Equations with State-Dependent Delay1
Sharp Pointwise Estimate of $$\alpha $$-Harmonic Functions1
Free-Product Banach Algebras Induced by Scaled Hypercomplex Numbers1
Relatively Bounded Perturbations of J-Non-Negative Operators1
On Decomposition for Pairs of Twisted Contractions1
On a Slice Hyper-Meromorphic Bergman Space1
Szegö’s Theorem on Hardy Spaces Induced by Rotation-Invariant Borel Measures1
On the Resolvent Matrix of the Truncated Hausdorff Matrix Moment Problem1
Five Hilbert Space Problems in Operator Algebras1
S-Nodes, Factorisation of Spectral Matrix Functions and Corresponding Inequalities1
Estimation and Monte Carlo Simulation Based on a New Flexible Weibull Frechet Model with Applications from the Medical and Engineering Fields1
Stratified Hilbert Modules on Bounded Symmetric Domains1
Some Generalizations of the Hawaii Conjecture and Beyond1
Extension of Some Bernstein-Type Inequalities to the Polar Derivative of a Polynomial1
The Exact Number of Orthogonal Exponentials of a Class of Moran Measures on $$\mathbb {R}^{3}$$1
Bergman Kernels of Two Dimensional Monomial Polyhedra1
Trajectory Controllability of Hilfer Fractional Stochastic Pantograph Equations with Random Impulses1
Necessary Conditions of $$\Gamma _n$$-Isometry Dilation and the Dilation of a Certain Family of $$\Gamma _3$$-Contractions1
2-Complex Symmetric Weighted Composition Operators on the Weighted Bergman Spaces of the Half-Plane1
The Monogenic Signal Associated with Linear Canonical Transform and Its Application to Edge Detection Problem1
Solvability and Attractive Stability Analysis for Riemann-Liouville Nabla-Type Nonlinear Fractional Difference Equations1
The two-sided Bargmann Space1
Orthogonal Harmonic and Quaternionic Monogenic Functions in the Exterior of a Spheroid1
Randomization in Generalized Mixed Norm Spaces1
Boundary Distance Functions of Unramified Riemann Domains over $$\mathbb {C}^n$$1
A Failing Parseval Type Equation Associated with an Indefinite Sturm-Liouville Problem1
On a Minimax Principle in Spectral Gaps1
Higgs Algebras in Classical Harmonic Analysis1
BMO and Hankel Operators on Bergman Space of the Siegel Upper Half-Space1
Uniform Algebras and Distinguished Varieties1
Blaschke Products and Convolutions with a Slanted Generalized Half-Plane Harmonic Mapping1
Quadratic Fock Space Calculus (II): Positivity of the Preservation Operator and Linear Independence of the Quadratic Exponential Vectors1
Hypercyclic Generalized Shift Operators1
Wirtinger Operators for Functions of Several Quaternionic Variables1
Norm Estimates for Selfadjoint Toeplitz Operators on the Fock Space1
Global Properties of Eigenvalues of Parametric Rank One Perturbations for Unstructured and Structured Matrices II1
Toeplitz Operators with Radial Symbols on General Analytic Function Spaces1
Endpoint Behavior of the Bergman Projection on a Class of n-dimensional Hartogs Triangles1
Free Probability on the Limit $$C^{*}$$-Algebra Induced by a Chain of Graphs1
$$\varepsilon $$-Numerical Range of Operator Polynomial1
Quaternionic Convolutional Neural Networks with Trainable Bessel Activation Functions1
Fourier Orthonormal Bases of Two Dimensional Moran Measures with Four-Element Digits1
Wiener-Hopf Indices of Unitary-Valued Functions on the Imaginary Axis1
The Kernels of Hankel Operators on the Full Fock Space1
Cauchy Formulae and Hardy Spaces in Discrete Octonionic Analysis1
Families of Symmetric Operators with Trivial Domains of Their Squares1
On the Relation Between S-Spectrum and Right Spectrum1
Falling Operators with Their Connections with the Degenerate Poisson Appell Polynomials1
Fractional Multicomplex Polynomials1
Automorphic Carathéodory–Julia Theorem1
On Babalola-Type Bi-Starlike Functions Based on Erdély–Kober Fractional-Order Derivative Subordinate to Second Einstein Function1
On Orthogonal Polynomials Related to Arithmetic and Harmonic Sequences1
Sharp lower bounds for area distortion via growth control of angular dilatations1
A Note of the Interpolating Sequences for $${\mathcal {Q}}_K\bigcap H^\infty $$1
Multilinear Fractional Hausdorff Type Operators With Rough Kernel on Morrey-Herz Spaces1
Factorization of Equilibrium Equation in Toupin–Mindlin Strain-Gradient Elasticity in Quaternion Analysis1
Toeplitz Operators Associated with the Hypergeometric Gabor Transform and Applications1
A Complementary Inequality for the Information Monotonicity of the Operator Perspective and Applications1
On the Differentiation of Integrals in Measure Spaces Along Filters: II1
Geometric Invariants for a Class of Submodules of Analytic Hilbert Modules Via the Sheaf Model1
The $$\mathcal {F}$$-Resolvent Equation and Riesz Projectors for the $$\mathcal {F}$$-Functional Calculus1
Partial Approximate Controllability of Hilfer Fractional Stochastic Differential System with Nonlocal Conditions1
Generalized Weighted Composition Operators on Vector-Valued Weighted Bergman Space1
A Remark on Hyponormality of Block Toeplitz Operators on the Weighted Bergman Spaces1
On the Convergence of Bernstein-Kantorovich-Stancu Shifted Knots Operators involving Schur Parameter1
Correction to: b-AM-Dunford–Pettis Operators on Banach Lattices1
Some Approximation Properties of Parametric Baskakov–Schurer–Szász Operators Through a Power Series Summability Method1
On Perturbation of Operators and Rayleigh-Schrödinger Coefficients1
Isometric Dilations of Commuting Contractions and Brehmer Positivity1
p-Summable Commutators in Bergman Spaces on Egg Domains1
Holomorphic Functions on the Lie Ball and Their Monogenic Counterparts1
Integral Representation Formulas in Banach Algebra Settings1
Dilations and Operator Models of $${\mathcal {W}}$$-Hypercontractions1
On Ideal Amenability of $$\ell ^1$$-Munn Banach Algebras1
On the Similarity of Boundary Triples of Symmetric Operators in Krein Spaces1
Bochner–Hecke Theorems in the Generalized Weinstein Theory Setting1
An Operational Calculus of $$\mu $$th Order Mehler–Fock Transform1
Rebricking Wavelets1
The Dirichlet Problem for the Complex Monge–Ampère Operator on Strictly Plurifinely Pseudoconvex Domains1
On the Single Layer Boundary Integral Operator for the Dirac Equation1
Biquaternion Linear Canonical Wavelet Transform: Theory and Applications1
Infinite Order Differential Operators Associated with Superoscillations in the Half-Plane Barrier1
The Infinite-Dimensional Standard and Strict Bounded Real Lemmas in Continuous Time: The Storage Function Approach1
Multiplication Operators on the Bloch Space of Infinite Dimensional Bounded Symmetric Domains1
Dirichlet Boundary Value Problems for Monogenic Functions of Prescribed Hölder Continuously Differentiable Data on Distinguishing Boundaries in Clifford Analysis1
Unbounded Commutants and Bicommutants of $$T^\dagger $$-Algebras1
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