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 2021-06-01 to 2025-06-01.)
ArticleCitations
Steven George Krantz (1951 -) Celebrates his 70th Birthday24
Hadamard–Bergman Operators on Weighted Spaces20
On the Toeplitz Algebra in the Case of All Entire Functions and All Functions Holomorphic in the Unit Disc16
Fredholm Index of 3-Tuple of Restriction Operators and the Pair of Fringe Operators for Submodules in $$H^2({\mathbb {D}}^3)$$12
Numerical Radius and Norm Bounds via the Moore-Penrose Inverse12
Characterization and Non-characterization of Domains by Their Isotropy Groups10
Sums of Polyanalytic Dual Toeplitz Products9
Slice Spirallike Functions over Quaternions8
Factorizations of Characteristic Functions of Iterated Liftings8
Some Operators on Minimal $$\alpha $$-Möbius Invariant Function Spaces7
Gradient Estimates in the Whole Space for the Double Phase Problems by the Maximal Function Method7
The Boundedness of Forelli–Rudin Type Operators on the Siegel Upper Half Space7
On Hardy-Like Spaces Induced by Tracial Unital Banach $$*$$-Probability Spaces7
Carleson Measures and Toeplitz Operators Between Bergman Spaces on the Siegel Upper Half-space7
Singular Integral Operators with Rough Kernel on Function Spaces Over Local Fields6
Sharper Paley-Wiener Theorem for the Dunkl Transform on $$\mathbb {R}^d$$6
Riesz Projection and Essential S-spectrum in Quaternionic Setting6
Stochastic Clairaut Equation on Algebra of Generalized Functions6
Dirichlet Problem for Nonlinear Higher-Order Equations in Upper Half Plane6
A Generalization of Ando’s Dilation, and Isometric Dilations for a Class of Tuples of q-Commuting Contractions6
Non-spectrality of a class of Moran measures on $$\mathbb {R}^{3}$$6
Characterization of Dual Scalable Frames6
Three-Jets Determinations of Normalized Proper Holomorphic Maps from $$ \mathbb {H}_n$$ into $$\mathbb {H}_{3n-2}$$5
Blow-Up Theorems for p-Sub-Laplacian Heat Operators on Stratified Groups5
On the Asymptotic Behavior of Retarded Boundary Control Systems with Dynamic Boundary Conditions: Semigroup Approach5
Inequalities Involving Berezin Norm and Berezin Number5
A Note on the Invariant Subspace Problem5
On Characterization of Hilbert Transform of Riemannian Surface with Boundary5
A Derivative-Hilbert Operator Acting on the Bloch Space5
Discrete Quaternion Quadratic Phase Fourier Transform5
Frame Wavelets of Local Fields with No Dual Wavelet Frames5
Operator Power means in the View of Fixed Points5
Uniqueness Problem for Level-1 Linearly Non-Degenerate Holomorphic Mappings Concerning Hypersurfaces5
Complex Interpolation Between Two Mixed Norm Bergman Spaces in Tube Domains Over Homogeneous Cones5
The Cauchy Transform of the Square Root Function on the Circle4
On the c-Entropy of L-Systems with Schrödinger Operator4
Generalized Volterra Integral Operators on Fock Spaces4
A Numerical Radius Inequality for Hilbert–Schmidt Operators4
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
Constructive of the Generalized Noise Process Based on Interacting Fock Spaces4
Relative Nash-Type and $$L^2$$-Sobolev Inequalities in Dunkl Setting4
Left-Invertibility of Rank-One Perturbations4
Periodic Functions: Self-Intersection and Local Singular Points4
Poincaré Type Results on a k-Dimensional Torus4
Correction to: Canonical Decomposition of Operators Associated with the Symmetrized Polydisc3
Compact Complex p-Kähler Hyperbolic Manifolds3
Some New Characterizations of a Hermitian Matrix and Their Applications3
Approximation in the Mean on Rational Curves3
Laurent Expansion and $$L_{2}$$-Boundary Values in Hermitian Clifford Analysis3
Characterizations of Finite Order Solutions of Circular Type Partial Differential-Difference Equations in $$ \mathbb {C}^n $$3
m-Complex Symmetric Weighted Composition Operators on the Fock Space3
Matrix Mean Inequalities for Sector Matrices3
Deformations and q-Convolutions. Old and New Results3
A Short Proof for the Twisted Multiplicativity Property of the Operator-Valued S-transform3
Minimal Invariant Subspaces for an Affine Composition Operator3
Generalized Hausdorff-Zhu Operators on Möbius Invariant Spaces3
Number Theoretic Related to the Scaling Spectrum of Self-similar Measure with Three Element Digit Sets3
Average and Convolution Sampling over Shift-Invariant Spaces3
Vekua-Type Systems Related to Two-Sided Dual k-Hypermonogenic Functions3
Stability Estimates in Determination of Non-orientable Surface from Its Dirichlet-to-Neumann Map3
Fredholmness of Singular Integral Operators with Complex Conjugation on Star-Like Curves with Cusps3
Kharitonov’s Theorem with Degree Drop: a Wronskian Approach3
On Recovering Dirac Operators with Two Delays3
An Operator-Valued Analogue of a Result of Bombieri3
Completing an Operator Matrix and the Free Joint Numerical Radius3
A Class of Norm Inequalities for Operator Monotone Functions and Hyponormal Operators3
Approximation by Meromorphic k-Differentials on Compact Riemann Surfaces3
The Joint Spectrum for a Commuting Pair of Isometries in Certain Cases3
Harmonic Analysis Associated with the Jacobi–Dunkl Operator on $$(-\pi ,\pi )$$: Exotic Cases3
The Matricial Szegő Mapping from the Perspective of Schur Analysis3
A Note on $$C^*$$-Algebra of Toeplitz Operators with $$\mathcal {L}$$-Invariant Symbols3
Fractional Gamma Noise Functionals3
Quantum Permutation Matrices3
Hilbert and Poincaré-Bertrand Formulas in Polyanalytic Function Theory Involving Higher Order Lipschitz Classes3
Generalized Convolution Operator Associated with the (k, a)-Generalized Fourier Transform on the Real Line and Applications2
Characterizations of Square Roots of Unitary Weighted Composition Operators on $$H^2$$2
The Bicomplex Dual Fractional Hankel Transform2
Jacobson’s Lemma for Spectral Idempotents in Banach Algebras2
Gateaux Differentiability in the Banach Space of Meromorphic Functions2
The Berberian’s Transform and an Asymmetric Putnam–Fuglede Theorem2
Weighted Composition-differentiation Operators on the Bergman Space2
Characterization of Forward, Vanishing, and Reverse Bergman Carleson Measures using Sparse Domination2
The Powers of Regular Linear Relations2
The Threshold Effects for the Three-Particle Hamiltonians on Lattices2
Realization of Inverse Stieltjes Functions $$(-m_\alpha (z))$$ by Schrödinger L-Systems2
The Number and Location of Eigenvalues for the Two-Particle Schrödinger Operators on Lattices2
Localization Operators and Scalogram in the Framework of Mehler–Fock Wavelet Transform2
Equivalent Norms on Generalized Fock Spaces and the Extended Cesàro Operators2
Multipliers on Spaces of Holomorphic Functions2
Scattering Operator and Wave Operators for 2D Schrödinger Operators with Threshold Obstructions2
Characterization of (Weak) Phase Retrieval Dual Frames2
A-Isometries and Hilbert-A-Modules Over Product Domains2
Boas Type Results for Two-Sided Quaternion Fourier Transform and Uniform Lipschitz Spaces2
Weyl Sets in a Non-degenerate Truncated Matricial Hausdorff Moment Problem2
Convergent Expansions of Eigenvalues of the Generalized Friedrichs Model with a Rank-One Perturbation2
$${{\mathcal {R}}}$$-Bounded Operator Families Arising from a Compressible Fluid Model of Korteweg Type with Surface Tension in the Half-Space2
Biquaternion Windowed Linear Canonical Transform and Associated Uncertainty Inequalities2
Semigroups of Composition Operators and Integral Operators in BMOA-Type Spaces2
Geometric Interpolation in n-Tuples of Noncommutative $$L_p$$-Spaces2
Spectral Analysis of Perturbed Fredholm Operators2
Basic Properties of Solutions of Boundary Value Problem for the Dirac-Wave Operator2
On the Location of Zeros of Polynomials2
Some Inequalities for Adjointable Operators on Hilbert $$C^*$$-Modules2
Free Probability on Banach Algebras Induced by Scaled Hypercomplex Numbers2
On The Monotony of Struve Functions2
Uncertainty Principles with Discrete Quaternion Fourier Transforms2
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
Modulus of Smoothness and Approximation Theorems in Clifford Analysis2
A Short Proof of the Lemma of the Logarithmic Derivative in Several Complex Variables2
Stepanov and Weyl Classes of c-Almost Periodic Type Functions2
Poisson’s Equation for Abel-Ergodic Theorems2
Weighted Pullback Transforms on Riemann Surfaces2
Heisenberg Uncertainty Principles for the Dunkl-Type Fock Space2
Topological Regularity for Solutions to the Generalised Hopf Equation2
Hilbert Transform, Nevanlinna Class and Toeplitz Kernels2
A Note on the Order Lozanovsky Spectrum for Positive Operators2
The Sharp Bound of the Third Hankel Determinant for Starlike Functions of Order 1/22
New Norm Equalities and Inequalities for Hankel Operator Matrices1
Hardy Type Theorems for Linear Canonical Dunkl Transform1
Weighted Composition Semigroups on Spaces of Continuous Functions and Their Subspaces1
p-Summable Commutators in Bergman Spaces on Egg Domains1
Isometric Dilations of Commuting Contractions and Brehmer Positivity1
Families of Symmetric Operators with Trivial Domains of Their Squares1
Factorization of Equilibrium Equation in Toupin–Mindlin Strain-Gradient Elasticity in Quaternion Analysis1
The $$\mathcal {F}$$-Resolvent Equation and Riesz Projectors for the $$\mathcal {F}$$-Functional Calculus1
A Remark on Hyponormality of Block Toeplitz Operators on the Weighted Bergman Spaces1
Sharp Coefficients Bounds for Starlike Functions Associated with Gregory Coefficients1
Free-Product Banach Algebras Induced by Scaled Hypercomplex Numbers1
Rudin’s Theorem for Model Domains1
The Dirichlet Problem for the Complex Monge–Ampère Operator on Strictly Plurifinely Pseudoconvex Domains1
Five Hilbert Space Problems in Operator Algebras1
On the Equicontinuity of Generalized Quasiconformal Mappings by Prime Ends1
Almansi-Type Theorem for Polymonogenic Functions in ballshell Domain1
Some Generalizations of the Hawaii Conjecture and Beyond1
Nonlinear Riemann-Hilbert Problems for Axial- and Bi-axial-monogenic Functions1
Correction to: b-AM-Dunford–Pettis Operators on Banach Lattices1
On the Relation Between S-Spectrum and Right Spectrum1
Generalized Weighted Composition Operators on Vector-Valued Weighted Bergman Space1
Geometric Invariants for a Class of Submodules of Analytic Hilbert Modules Via the Sheaf Model1
Automorphic Carathéodory–Julia Theorem1
Composition Operators on Function Spaces on the Halfplane: Spectra and Semigroups1
Continuous Dependence of Szegő Kernel on a Weight of Integration1
The Borel-Pompeiu Formula of Weighted k-Holomorphic Functions and its Related Properties1
Dilations and Operator Models of $${\mathcal {W}}$$-Hypercontractions1
Toeplitz Determinants for a Class of Holomorphic Mappings in Higher Dimensions1
The Infinite-Dimensional Standard and Strict Bounded Real Lemmas in Continuous Time: The Storage Function Approach1
Szegő and Widom Theorems for Finite Codimensional Subalgebras of a Class of Uniform Algebras1
Closures of Holomorphic Tent Spaces in Weighted Bloch Spaces1
Numerical Radius Inequalities for Hilbert Space Operators1
On the Resolvent Matrix of the Truncated Hausdorff Matrix Moment Problem1
Necessary Conditions of $$\Gamma _n$$-Isometry Dilation and the Dilation of a Certain Family of $$\Gamma _3$$-Contractions1
Correction to: Almansi-Type Decomposition for Slice Regular Functions of Several Quaternionic Variables1
Bochner–Hecke Theorems in the Generalized Weinstein Theory Setting1
Complex Symmetric Weighted Composition Operators on Weighted Bergman Spaces1
Wiener-Hopf Indices of Unitary-Valued Functions on the Imaginary Axis1
Comment to: Dynamics of Weighted Composition Operators1
Radon Inversion Problem for Holomorphic Functions on Circular, Strictly Convex Domains1
Rough Singular Integral Operators, Spherical Maximal Functions and Maximal Bochner-Riesz Operators on Grand Morrey Spaces1
Hypercyclic Generalized Shift Operators1
Extending Dirac and Faddeev-Jackiw Formalisms to Fractal First $$\alpha $$-Order Lagrangian Systems1
The Sharp Bounds of the Third Hankel Determinant for Starlike Mappings and Starlike Mappings of Order 1/2 in Complex Banach Spaces1
On Orthogonal Polynomials Related to Arithmetic and Harmonic Sequences1
$$\varepsilon $$-Numerical Range of Operator Polynomial1
Global Properties of Eigenvalues of Parametric Rank One Perturbations for Unstructured and Structured Matrices II1
The Schur–Potapov Algorithm in the General Matrix Case and Its Application to the Matricial Schur Problem1
The Kernels of Hankel Operators on the Full Fock Space1
Stratified Hilbert Modules on Bounded Symmetric Domains1
On Perturbation of Operators and Rayleigh-Schrödinger Coefficients1
Randomization in Generalized Mixed Norm Spaces1
Bergman Kernels of Two Dimensional Monomial Polyhedra1
Characterization of Non-Stationary Wavelets and Non-Stationary Multiresolution Analysis Wavelets Related to Walsh Functions1
On the Manifolds with Noncompact Automorphism Groups1
Infinite Order Differential Operators Associated with Superoscillations in the Half-Plane Barrier1
On a Minimax Principle in Spectral Gaps1
Segal–Bargmann Transforms Associated to a Family of Coupled Supersymmetries1
Sharp Pointwise Estimate of $$\alpha $$-Harmonic Functions1
Quadratic Fock Space Calculus (II): Positivity of the Preservation Operator and Linear Independence of the Quadratic Exponential Vectors1
Carleson Measures for Weighted Harmonic Mixed-Norm Spaces and Toeplitz Operators1
Free Probability on the Limit $$C^{*}$$-Algebra Induced by a Chain of Graphs1
Characteristic Polynomials of Random Banded Hessenberg Matrices and Hermite–Padé Approximation1
Linear Canonical Bargmann Transform1
On the Single Layer Boundary Integral Operator for the Dirac Equation1
Quaternionic Convolutional Neural Networks with Trainable Bessel Activation Functions1
Characterizations of Herglotz–Nevanlinna Functions Using Positive Semi-Definite Functions and the Nevanlinna Kernel in Several Variables1
BMO and Hankel Operators on Bergman Space of the Siegel Upper Half-Space1
Demicompactness Results and Frobenuis Schur’s Decomposition for Block Operator Matrices in Right Quaternionic Hilbert Spaces1
Polar Decomposition and Functional Calculus for Generalized Tomita’s Observables1
A Note of the Interpolating Sequences for $${\mathcal {Q}}_K\bigcap H^\infty $$1
A Peak Set with a Maximal Hausdorff Dimension on Each Slice1
2-Complex Symmetric Weighted Composition Operators on the Weighted Bergman Spaces of the Half-Plane1
Fractional Multicomplex Polynomials1
Wirtinger Operators for Functions of Several Quaternionic Variables1
Completeness of Resonance States and Weyl Asymptotics of Resonances for Quantum Graphs1
Norm Estimates for Selfadjoint Toeplitz Operators on the Fock Space1
Boundary Distance Functions of Unramified Riemann Domains over $$\mathbb {C}^n$$1
On the Similarity of Boundary Triples of Symmetric Operators in Krein Spaces1
Integral Representation Formulas in Banach Algebra Settings1
Kernel, Image and Scattering Representations of Passive State/Signal Systems1
A Complementary Inequality for the Information Monotonicity of the Operator Perspective and Applications1
On a Slice Hyper-Meromorphic Bergman Space1
Blaschke Products and Convolutions with a Slanted Generalized Half-Plane Harmonic Mapping1
A Cauchy Transform for Polymonogenic Functions on Fractal Domains1
S-Nodes, Factorisation of Spectral Matrix Functions and Corresponding Inequalities1
Toeplitz Operators with Radial Symbols on General Analytic Function Spaces1
Hankel-Type Operator Acting on Hardy Spaces and Weighted Bergman Spaces1
On the Differentiation of Integrals in Measure Spaces Along Filters: II1
Szegö’s Theorem on Hardy Spaces Induced by Rotation-Invariant Borel Measures1
Existence of Solutions for a Class of Fractional $$p-$$Laplacian Equations with Innovative Conditions1
Dirichlet Boundary Value Problems for Monogenic Functions of Prescribed Hölder Continuously Differentiable Data on Distinguishing Boundaries in Clifford Analysis1
Higgs Algebras in Classical Harmonic Analysis1
Slantification of Hankel Operators on Hardy Space of n-torus1
The Spectrum of the Non-self-adjoint Twisted Laplacian on $$\displaystyle \mathbb {R}^2$$1
Endpoint Behavior of the Bergman Projection on a Class of n-dimensional Hartogs Triangles1
The Exact Number of Orthogonal Exponentials of a Class of Moran Measures on $$\mathbb {R}^{3}$$1
Fourier Orthonormal Bases of Two Dimensional Moran Measures with Four-Element Digits1
Relatively Bounded Perturbations of J-Non-Negative Operators1
On the Structure of Real Operators1
Weighted Composition Semigroups on Some Banach Spaces1
Some Approximation Properties of Parametric Baskakov–Schurer–Szász Operators Through a Power Series Summability Method1
On the Operator Hermite–Hadamard Inequality1
Multiplication Operators on the Bloch Space of Infinite Dimensional Bounded Symmetric Domains1
Hodge Decomposition for Generalized Vekua Spaces in Higher Dimensions1
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