Complex Analysis and Operator Theory

Article	Citations
Steven George Krantz (1951 -) Celebrates his 70th Birthday	21
Hadamard–Bergman Operators on Weighted Spaces	18
On the Toeplitz Algebra in the Case of All Entire Functions and All Functions Holomorphic in the Unit Disc	15
Characterization of Dual Scalable Frames	12
Numerical Radius and Norm Bounds via the Moore-Penrose Inverse	12
Fredholm Index of 3-Tuple of Restriction Operators and the Pair of Fringe Operators for Submodules in $$H^2({\mathbb {D}}^3)$$	8
Characterization and Non-characterization of Domains by Their Isotropy Groups	8
Some Operators on Minimal $$\alpha $$-Möbius Invariant Function Spaces	7
Sums of Polyanalytic Dual Toeplitz Products	7
Dirichlet Problem for Nonlinear Higher-Order Equations in Upper Half Plane	7
Gradient Estimates in the Whole Space for the Double Phase Problems by the Maximal Function Method	7
Factorizations of Characteristic Functions of Iterated Liftings	7
On Hardy-Like Spaces Induced by Tracial Unital Banach $$*$$-Probability Spaces	7
Slice Spirallike Functions over Quaternions	7
A Note on the Invariant Subspace Problem	6
Riesz Projection and Essential S-spectrum in Quaternionic Setting	6
Stochastic Clairaut Equation on Algebra of Generalized Functions	6
The Boundedness of Forelli–Rudin Type Operators on the Siegel Upper Half Space	6
Non-spectrality of a class of Moran measures on $$\mathbb {R}^{3}$$	6
Carleson Measures and Toeplitz Operators Between Bergman Spaces on the Siegel Upper Half-space	6
Frame Wavelets of Local Fields with No Dual Wavelet Frames	5
On Characterization of Hilbert Transform of Riemannian Surface with Boundary	5
Blow-Up Theorems for p-Sub-Laplacian Heat Operators on Stratified Groups	5
Three-Jets Determinations of Normalized Proper Holomorphic Maps from $$ \mathbb {H}_n$$ into $$\mathbb {H}_{3n-2}$$	5
A Generalization of Ando’s Dilation, and Isometric Dilations for a Class of Tuples of q-Commuting Contractions	5

A Note on $$C^*$$-Algebra of Toeplitz Operators with $$\mathcal {L}$$-Invariant Symbols	5
Discrete Quaternion Quadratic Phase Fourier Transform	5
Singular Integral Operators with Rough Kernel on Function Spaces Over Local Fields	5
Inequalities Involving Berezin Norm and Berezin Number	5
A Derivative-Hilbert Operator Acting on the Bloch Space	5
Operator Power means in the View of Fixed Points	5
Left-Invertibility of Rank-One Perturbations	4
Constructive of the Generalized Noise Process Based on Interacting Fock Spaces	4
Periodic Functions: Self-Intersection and Local Singular Points	4
Fundamental Solutions for the Laplace–Beltrami Operator Defined by the Conformal Hyperbolic Metric and Jacobi Polynomials	4
The Cauchy Transform of the Square Root Function on the Circle	4
On the c-Entropy of L-Systems with Schrödinger Operator	4
A Numerical Radius Inequality for Hilbert–Schmidt Operators	4
On Recovering Dirac Operators with Two Delays	4
Relative Nash-Type and $$L^2$$-Sobolev Inequalities in Dunkl Setting	4
Toeplitz Operators Associated with the Deformed Windowed Fourier Transform	4
Sturm–Liouville Problems with Transfer Condition Herglotz Dependent on the Eigenparameter: Eigenvalue Asymptotics	4
Generalized Volterra Integral Operators on Fock Spaces	4
Fredholmness of Singular Integral Operators with Complex Conjugation on Star-Like Curves with Cusps	4
Complex Interpolation Between Two Mixed Norm Bergman Spaces in Tube Domains Over Homogeneous Cones	4
Average and Convolution Sampling over Shift-Invariant Spaces	3
Vekua-Type Systems Related to Two-Sided Dual k-Hypermonogenic Functions	3
Stability Estimates in Determination of Non-orientable Surface from Its Dirichlet-to-Neumann Map	3
Quantum Permutation Matrices	3
Generalized Hausdorff-Zhu Operators on Möbius Invariant Spaces	3
The Powers of Regular Linear Relations	3
Minimal Invariant Subspaces for an Affine Composition Operator	3
Number Theoretic Related to the Scaling Spectrum of Self-similar Measure with Three Element Digit Sets	3
Completing an Operator Matrix and the Free Joint Numerical Radius	3
Deformations and q-Convolutions. Old and New Results	3
The Joint Spectrum for a Commuting Pair of Isometries in Certain Cases	3
Laurent Expansion and $$L_{2}$$-Boundary Values in Hermitian Clifford Analysis	3
The Matricial Szegő Mapping from the Perspective of Schur Analysis	3
Some New Characterizations of a Hermitian Matrix and Their Applications	3
Approximation by Meromorphic k-Differentials on Compact Riemann Surfaces	3
Hilbert and Poincaré-Bertrand Formulas in Polyanalytic Function Theory Involving Higher Order Lipschitz Classes	3
An Operator-Valued Analogue of a Result of Bombieri	3
A Class of Norm Inequalities for Operator Monotone Functions and Hyponormal Operators	3
Matrix Mean Inequalities for Sector Matrices	3
Approximation in the Mean on Rational Curves	3
Harmonic Analysis Associated with the Jacobi–Dunkl Operator on $$(-\pi ,\pi )$$: Exotic Cases	3
Fractional Gamma Noise Functionals	3
Characterizations of Finite Order Solutions of Circular Type Partial Differential-Difference Equations in $$ \mathbb {C}^n $$	3
Poisson’s Equation for Abel-Ergodic Theorems	3
A Short Proof for the Twisted Multiplicativity Property of the Operator-Valued S-transform	3
Correction to: Canonical Decomposition of Operators Associated with the Symmetrized Polydisc	3
Compact Complex p-Kähler Hyperbolic Manifolds	3
Free Probability on Banach Algebras Induced by Scaled Hypercomplex Numbers	2
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
Biquaternion Windowed Linear Canonical Transform and Associated Uncertainty Inequalities	2

The Berberian’s Transform and an Asymmetric Putnam–Fuglede Theorem	2
Jacobson’s Lemma for Spectral Idempotents in Banach Algebras	2
The Number and Location of Eigenvalues for the Two-Particle Schrödinger Operators on Lattices	2
On The Monotony of Struve Functions	2
The Sharp Bound of the Third Hankel Determinant for Starlike Functions of Order 1/2	2
Generalized Convolution Operator Associated with the (k, a)-Generalized Fourier Transform on the Real Line and Applications	2
Weighted Composition Semigroups on Spaces of Continuous Functions and Their Subspaces	2
Semigroups of Composition Operators and Integral Operators in BMOA-Type Spaces	2
Closure in the Logarithmic Bloch Norm of Dirichlet Type Spaces	2
$${{\mathcal {R}}}$$-Bounded Operator Families Arising from a Compressible Fluid Model of Korteweg Type with Surface Tension in the Half-Space	2
Geometric Interpolation in n-Tuples of Noncommutative $$L_p$$-Spaces	2
Convergent Expansions of Eigenvalues of the Generalized Friedrichs Model with a Rank-One Perturbation	2
Heisenberg Uncertainty Principles for the Dunkl-Type Fock Space	2
On the Location of Zeros of Polynomials	2
Topological Regularity for Solutions to the Generalised Hopf Equation	2
Realization of Inverse Stieltjes Functions $$(-m_\alpha (z))$$ by Schrödinger L-Systems	2
Basic Properties of Solutions of Boundary Value Problem for the Dirac-Wave Operator	2
Some Inequalities for Adjointable Operators on Hilbert $$C^*$$-Modules	2
Scattering Operator and Wave Operators for 2D Schrödinger Operators with Threshold Obstructions	2
The Bicomplex Dual Fractional Hankel Transform	2
Uncertainty Principles with Discrete Quaternion Fourier Transforms	2
Characterization of Forward, Vanishing, and Reverse Bergman Carleson Measures using Sparse Domination	2
Weighted Pullback Transforms on Riemann Surfaces	2
Modulus of Smoothness and Approximation Theorems in Clifford Analysis	2
Gateaux Differentiability in the Banach Space of Meromorphic Functions	2
Weighted Composition-differentiation Operators on the Bergman Space	2
Equivalent Norms on Generalized Fock Spaces and the Extended Cesàro Operators	2
Weyl Sets in a Non-degenerate Truncated Matricial Hausdorff Moment Problem	2
Characterizations of Square Roots of Unitary Weighted Composition Operators on $$H^2$$	2
A Note on the Order Lozanovsky Spectrum for Positive Operators	2
Hilbert Transform, Nevanlinna Class and Toeplitz Kernels	2
Characterization of (Weak) Phase Retrieval Dual Frames	2
Localization Operators and Scalogram in the Framework of Mehler–Fock Wavelet Transform	2
Multipliers on Spaces of Holomorphic Functions	2
A-Isometries and Hilbert-A-Modules Over Product Domains	2
Stepanov and Weyl Classes of c-Almost Periodic Type Functions	2
Boas Type Results for Two-Sided Quaternion Fourier Transform and Uniform Lipschitz Spaces	2
Hankel-Type Operator Acting on Hardy Spaces and Weighted Bergman Spaces	1
Polar Decomposition and Functional Calculus for Generalized Tomita’s Observables	1
The $$\mathcal {F}$$-Resolvent Equation and Riesz Projectors for the $$\mathcal {F}$$-Functional Calculus	1
Geometric Invariants for a Class of Submodules of Analytic Hilbert Modules Via the Sheaf Model	1
The Dirichlet Problem for the Complex Monge–Ampère Operator on Strictly Plurifinely Pseudoconvex Domains	1
On the Equicontinuity of Generalized Quasiconformal Mappings by Prime Ends	1
Some Generalizations of the Hawaii Conjecture and Beyond	1
Characterization of Non-Stationary Wavelets and Non-Stationary Multiresolution Analysis Wavelets Related to Walsh Functions	1
Rudin’s Theorem for Model Domains	1
On the Relation Between S-Spectrum and Right Spectrum	1
Some Approximation Properties of Parametric Baskakov–Schurer–Szász Operators Through a Power Series Summability Method	1
The Exact Number of Orthogonal Exponentials of a Class of Moran Measures on $$\mathbb {R}^{3}$$	1
Bochner–Hecke Theorems in the Generalized Weinstein Theory Setting	1
Szegő and Widom Theorems for Finite Codimensional Subalgebras of a Class of Uniform Algebras	1
Linear Canonical Bargmann Transform	1
p-Summable Commutators in Bergman Spaces on Egg Domains	1
Hardy Type Theorems for Linear Canonical Dunkl Transform	1
Demicompactness Results and Frobenuis Schur’s Decomposition for Block Operator Matrices in Right Quaternionic Hilbert Spaces	1
Free Probability on the Limit $$C^{*}$$-Algebra Induced by a Chain of Graphs	1
Quadratic Fock Space Calculus (II): Positivity of the Preservation Operator and Linear Independence of the Quadratic Exponential Vectors	1
Boundary Distance Functions of Unramified Riemann Domains over $$\mathbb {C}^n$$	1
A Peak Set with a Maximal Hausdorff Dimension on Each Slice	1
On the Single Layer Boundary Integral Operator for the Dirac Equation	1
Isometric Dilations of Commuting Contractions and Brehmer Positivity	1
On a Slice Hyper-Meromorphic Bergman Space	1
Factorization of Equilibrium Equation in Toupin–Mindlin Strain-Gradient Elasticity in Quaternion Analysis	1
Characterizations of Herglotz–Nevanlinna Functions Using Positive Semi-Definite Functions and the Nevanlinna Kernel in Several Variables	1
BMO and Hankel Operators on Bergman Space of the Siegel Upper Half-Space	1
On the Uniqueness of Random Entire Functions	1
New Norm Equalities and Inequalities for Hankel Operator Matrices	1
Rosette Harmonic Mappings	1
Families of Symmetric Operators with Trivial Domains of Their Squares	1
Norm Estimates for Selfadjoint Toeplitz Operators on the Fock Space	1
A Cauchy Transform for Polymonogenic Functions on Fractal Domains	1
Segal–Bargmann Transforms Associated to a Family of Coupled Supersymmetries	1
Dilations and Operator Models of $${\mathcal {W}}$$-Hypercontractions	1
Kernel, Image and Scattering Representations of Passive State/Signal Systems	1
Sharp Pointwise Estimate of $$\alpha $$-Harmonic Functions	1
Global Properties of Eigenvalues of Parametric Rank One Perturbations for Unstructured and Structured Matrices II	1
Existence of Solutions for a Class of Fractional $$p-$$Laplacian Equations with Innovative Conditions	1
The Kernels of Hankel Operators on the Full Fock Space	1
On Perturbation of Operators and Rayleigh-Schrödinger Coefficients	1
Automorphic Carathéodory–Julia Theorem	1

Szegö’s Theorem on Hardy Spaces Induced by Rotation-Invariant Borel Measures	1
Continuous Dependence of Szegő Kernel on a Weight of Integration	1
Infinite Order Differential Operators Associated with Superoscillations in the Half-Plane Barrier	1
Generalized Weighted Composition Operators on Vector-Valued Weighted Bergman Space	1
Complex Symmetric Weighted Composition Operators on Weighted Bergman Spaces	1
Dirichlet Boundary Value Problems for Monogenic Functions of Prescribed Hölder Continuously Differentiable Data on Distinguishing Boundaries in Clifford Analysis	1
Relatively Bounded Perturbations of J-Non-Negative Operators	1
On the Structure of Real Operators	1
Composition Operators on Function Spaces on the Halfplane: Spectra and Semigroups	1
Necessary Conditions of $$\Gamma _n$$-Isometry Dilation and the Dilation of a Certain Family of $$\Gamma _3$$-Contractions	1
Hodge Decomposition for Generalized Vekua Spaces in Higher Dimensions	1
Fourier Orthonormal Bases of Two Dimensional Moran Measures with Four-Element Digits	1
Rough Singular Integral Operators, Spherical Maximal Functions and Maximal Bochner-Riesz Operators on Grand Morrey Spaces	1
Free-Product Banach Algebras Induced by Scaled Hypercomplex Numbers	1
Comment to: Dynamics of Weighted Composition Operators	1
Weighted Composition Semigroups on Some Banach Spaces	1
Fractional Multicomplex Polynomials	1
Five Hilbert Space Problems in Operator Algebras	1
On the Similarity of Boundary Triples of Symmetric Operators in Krein Spaces	1
On the Operator Hermite–Hadamard Inequality	1
Slantification of Hankel Operators on Hardy Space of n-torus	1
Wiener-Hopf Indices of Unitary-Valued Functions on the Imaginary Axis	1
Characteristic Polynomials of Random Banded Hessenberg Matrices and Hermite–Padé Approximation	1
Sharp Coefficients Bounds for Starlike Functions Associated with Gregory Coefficients	1
Hypercyclic Generalized Shift Operators	1
Nonlinear Riemann-Hilbert Problems for Axial- and Bi-axial-monogenic Functions	1
Almansi-Type Theorem for Polymonogenic Functions in ballshell Domain	1
On Orthogonal Polynomials Related to Arithmetic and Harmonic Sequences	1
On a Minimax Principle in Spectral Gaps	1
Correction to: b-AM-Dunford–Pettis Operators on Banach Lattices	1
The Spectrum of the Non-self-adjoint Twisted Laplacian on $$\displaystyle \mathbb {R}^2$$	1
Blaschke Products and Convolutions with a Slanted Generalized Half-Plane Harmonic Mapping	1
On the Manifolds with Noncompact Automorphism Groups	1
S-Nodes, Factorisation of Spectral Matrix Functions and Corresponding Inequalities	1
Toeplitz Operators with Radial Symbols on General Analytic Function Spaces	1
Bergman Kernels of Two Dimensional Monomial Polyhedra	1
Radon Inversion Problem for Holomorphic Functions on Circular, Strictly Convex Domains	1
Correction to: Almansi-Type Decomposition for Slice Regular Functions of Several Quaternionic Variables	1
2-Complex Symmetric Weighted Composition Operators on the Weighted Bergman Spaces of the Half-Plane	1
Quaternionic Convolutional Neural Networks with Trainable Bessel Activation Functions	1
Spectral Analysis of Perturbed Fredholm Operators	1
Endpoint Behavior of the Bergman Projection on a Class of n-dimensional Hartogs Triangles	1
Closures of Holomorphic Tent Spaces in Weighted Bloch Spaces	1
Extension of Some Bernstein-Type Inequalities to the Polar Derivative of a Polynomial	1
Higgs Algebras in Classical Harmonic Analysis	1
A Note of the Interpolating Sequences for $${\mathcal {Q}}_K\bigcap H^\infty $$	1
Carleson Measures for Weighted Harmonic Mixed-Norm Spaces and Toeplitz Operators	1
The Infinite-Dimensional Standard and Strict Bounded Real Lemmas in Continuous Time: The Storage Function Approach	1
A Remark on Hyponormality of Block Toeplitz Operators on the Weighted Bergman Spaces	1
$$\varepsilon $$-Numerical Range of Operator Polynomial	1
Completeness of Resonance States and Weyl Asymptotics of Resonances for Quantum Graphs	1
Numerical Radius Inequalities for Hilbert Space Operators	1
Multiplication Operators on the Bloch Space of Infinite Dimensional Bounded Symmetric Domains	1
Stratified Hilbert Modules on Bounded Symmetric Domains	1
Toeplitz Determinants for a Class of Holomorphic Mappings in Higher Dimensions	1
Randomization in Generalized Mixed Norm Spaces	1
Wirtinger Operators for Functions of Several Quaternionic Variables	1
On the Differentiation of Integrals in Measure Spaces Along Filters: II	1
The Schur–Potapov Algorithm in the General Matrix Case and Its Application to the Matricial Schur Problem	1
Integral Representation Formulas in Banach Algebra Settings	1
A Complementary Inequality for the Information Monotonicity of the Operator Perspective and Applications	1
Numerical Radius Inequalities for Finite Sums of Operators	0
Distribution for Non Symmetric Position Operators on the Free Toy Fock Space and Its Approximation on the Full Fock Space	0
Integral Estimates and Multiplier Operators from Normal Weight General Function Spaces to Bloch Type Spaces	0
Poly-analytic Functions and Representation Theory	0
Fractal Convolution on the Rectangle	0
Volterra and Composition Inner Derivations on the Fock–Sobolev Spaces	0
A Research Story	0
Paley–Wiener-Type Theorems Associated to the Laplace–Bessel Operator	0
On the Structure of Conditionally Positive Definite Algebraic Operators	0
Hölder Continuity of Generalized Harmonic Functions in the Unit Disc	0
On Hyperholomorphic Bergman Type Spaces in Domains of $$\mathbb C^2$$	0
Stability in Truncated Trigonometric Scalar Moment Problems	0
Rochberg’s Abstract Coboundary Theorem Revisited	0
m-Potential Theory and m-Generalized Lelong Numbers Associated with m-Positive Supercurrents	0
A Note on Koliha-Drazin Invertible Operators and a-Browder’s Theorem	0
Truncations of Random Unitary Matrices Drawn from Hua-Pickrell Distribution	0
A Kreiss Type Inequality for Rational Functions on General Domains	0
Generalised Canonical Systems Related to Matrix String Equations: Corresponding Structured Operators and High-Energy Asymptotics of Weyl Functions	0
A Peak Set of Hausdorff Dimension 2n − 1 for the Algebra A(D) in the Boundary of a Domain D with C⌃2 Boundary	0
Inequalities for N-Operator	0
Traces for Sturm–Liouville Operators on a Caterpillar Graph	0
Approximation in Weighted Analytic Besov Spaces and in Generalized Fock Spaces	0
A Jordan Curve Theorem on a 3D Ball Through Brownian Motion	0
Approximate Controllability Results for Stochastic Evolution Inclusions with Hilfer Fractional Substantial Derivative	0
Imaginary Powers of (k, 1)-Generalized Harmonic Oscillator	0
Minimal Realizations of Atomic Density Functions	0
A Note on Joint Spectrum in Function Spaces	0
Schwarz Boundary Value Problems for Polyanalytic Equation in a Sector Ring	0
On a Class of Integral Systems	0
Rate of Convergence for Double Rational Fourier Series	0
Multivalued Elliptic Inclusion in Fractional Orlicz–Sobolev Spaces	0
Fractional Laplacian Elliptic Systems with Multiple Parameters	0
Several Properties of a Class of Generalized Harmonic Mappings	0
Solvability Criterion for Convolution Equations on a Half-Strip	0