Complex Analysis and Operator Theory

Article	Citations
Littlewood-Paley Characterizations of Hardy-Type Spaces Associated with Ball Quasi-Banach Function Spaces	33
Initial Value Problem for the Pair Transition Coupled Nonlinear Schrödinger Equations via the Riemann–Hilbert Method	17
On the Inequalities Concerning Polynomials	15
The Noncommutative Fractional Fourier Law in Bounded and Unbounded Domains	11
Hadamard–Bergman Convolution Operators	11
A Note on the Three Dimensional Dirac Operator with Zigzag Type Boundary Conditions	10
Inequalities for the Berezin number of operators and related questions	10
Superoscillating Sequences and Supershifts for Families of Generalized Functions	9
Reproducing Kernel Sparse Representations in Relation to Operator Equations	9
The Sharp Bound of the Third Hankel Determinant for Starlike Functions of Order 1/2	9
Normality and Self-Adjointness of Weighted Composition–Differentiation Operators	9
Disjoint Dynamics on Weighted Orlicz Spaces	8
Numerical Radius Inequalities for Hilbert Space Operators	8
On Weaving g-Frames for Hilbert Spaces	8
Poly-analytic Functions and Representation Theory	7
Boundedness of the Bergman Projection on Generalized Fock–Sobolev Spaces on $${{\mathbb {C}}}^n$$	7
A Derivative-Hilbert Operator Acting on the Bloch Space	7
Operator Norms and Essential Norms of Weighted Composition Operators from Analytic Function Spaces into Zygmund-type Spaces	6
A Schur–Nevanlinna Type Algorithm for the Truncated Matricial Hausdorff Moment Problem	6
Inequalities Involving Berezin Norm and Berezin Number	6
Cesàro Summability of Taylor Series in Weighted Dirichlet Spaces	6
The Commutant of Some Shift Operators	6
On Various Generalizations of Semi-$${\mathcal {A}}$$-Fredholm Operators	5
Fractional Multicomplex Polynomials	5
Norm Estimates for Selfadjoint Toeplitz Operators on the Fock Space	5

Homogeneously Polyanalytic Kernels on the Unit Ball and the Siegel Domain	5
Carleson and Reverse Carleson Measures on Homogeneous Siegel Domains	5
The $$\mathcal {F}$$-Resolvent Equation and Riesz Projectors for the $$\mathcal {F}$$-Functional Calculus	5
Nearly Invariant Subspaces with Applications to Truncated Toeplitz Operators	5
Zero-Range Hamiltonian for a Bose Gas with an Impurity	5
Finite Rank Perturbations of Linear Relations and Matrix Pencils	4
Hausdorff Operators on Some Spaces of Holomorphic Functions on the Unit Disc	4
Remarks on Hyponormal Toeplitz Operators on the Weighted Bergman Spaces	4
k-Hankel Gabor Transform on $$\mathbb {R}^{d}$$ and Its Applications to the Reproducing Kernel Theory	4
Operator Theory on Noncommutative Polydomains, I	4
Sturm–Liouville Problems with Transfer Condition Herglotz Dependent on the Eigenparameter: Eigenvalue Asymptotics	4
Octonionic Kerzman–Stein Operators	4
Application of the Fractional Sturm–Liouville Theory to a Fractional Sturm–Liouville Telegraph Equation	4
On Entire Solutions of a Pythagorean Functional Equation and Associated PDEs	4
Weighted Composition-differentiation Operators on the Bergman Space	4
Weak Solutions to the Complex Hessian Type Equations for Arbitrary Measures	4
The Dirichlet Problem for the Complex Monge–Ampère Operator on Strictly Plurifinely Pseudoconvex Domains	4
Extension of the Bessmertnyĭ Realization Theorem for Rational Functions of Several Complex Variables	4
On Vector-Valued Characters for Noncommutative Function Algebras	4
Carleson Measures and Toeplitz Type Operators on Hardy Type Tent Spaces	3
Modulation Spaces, Multipliers Associated with the Special Affine Fourier Transform	3
Minimal Passive Realizations of Generalized Schur Functions in Pontryagin Spaces	3
Composition Operators fronm Weak to Strong Vector-Valued Hardy Spaces	3
Three-Representation Problem in Banach Spaces	3
Some New Applications of Berezin Symbols	3
Dolbeault and J-Invariant Cohomologies on Almost Complex Manifolds	3
An Operator Version of the Jensen Inequality for s-Convex Functions	3
Hörmander’s $$L^2$$-Method, $${\overline{\partial }}$$-Problem and Polyanalytic Function Theory in One Complex Variable	3
Holomorphicity of Slice-Regular Functions	3
Contributions to Modified Spherical Harmonics in Four Dimensions	3
The Joint Spectrum for a Commuting Pair of Isometries in Certain Cases	3
Dirac Operators with Gradient Potentials and Related Monogenic Functions	3
Continuous g-Frames with $$C^{*}$$-Valued Bounds and Their Properties	3
Multiple Sampling and Interpolation in Weighted Fock Spaces of Entire Functions	3
Closure in the Logarithmic Bloch Norm of Dirichlet Type Spaces	3
Multi-orbital Frames Through Model Spaces	3
Global Properties of Eigenvalues of Parametric Rank One Perturbations for Unstructured and Structured Matrices	3
Convergent Expansions of Eigenvalues of the Generalized Friedrichs Model with a Rank-One Perturbation	3
A Survey of Some Norm Inequalities	3
Positive Toeplitz Operators Between Different Fock-Sobolev Type Spaces	3
Nonlocal Fractional Differential Equations and Applications	3
A Toeplitz-Like Operator with Rational Matrix Symbol Having Poles on the Unit Circle: Fredholm Properties	3
On Characterization of Hilbert Transform of Riemannian Surface with Boundary	3
Condition Spectrum of Rank One Operators and Preservers of the Condition Spectrum of Skew Product of Operators	3
Representable Projections and Semi-Projections in a Hilbert Space	2
New Paley–Wiener Theorems	2
Almansi-Type Theorem for Polymonogenic Functions in ballshell Domain	2
Weak Solutions to the Complex m-Hessian Type Equation on Open Subsets of $${\mathbb {C}}^n$$	2
Numerical Radius Inequalities for Finite Sums of Operators	2
Discrete Hardy Spaces for Bounded Domains in $${\mathbb {R}}^{n}$$	2

Spectrum of the Cesàro Operator on the Ultradifferentiable Function Spaces $${\mathcal E}_\omega ({\mathbb {R}}_+)$$	2
Topological Structure of the Space of Composition Operators Between Different Fock Spaces	2
Algebraic Properties of Toeplitz Operators on the Symmetrized Polydisk	2
On the Operator Hermite–Hadamard Inequality	2
Nearly Invariant Subspaces for Operators in Hilbert Spaces	2
Bounds on the Non-real Eigenvalues of Nonlocal Indefinite Sturm–Liouville Problems with Coupled Boundary Conditions	2
Characterizations of Square Roots of Unitary Weighted Composition Operators on $$H^2$$	2
The Generalised Laplace Operator and the Topological Characteristic of Removable $$ {\overline{S}} $$ - Singular Sets of Subharmonic Functions	2
Integration of Functions of a Hyperbolic Variable	2
Equivalent Characterizations and Pointwise Multipliers of Normal Weight Dirichlet Space on the Unit Ball	2
Generalized Inverses of Conditional Type Operators	2
A Note on Koliha-Drazin Invertible Operators and a-Browder’s Theorem	2
Isometric Dilations of Commuting Contractions and Brehmer Positivity	2
Stability in Truncated Trigonometric Scalar Moment Problems	2
Self-Adjoint Extensions with Friedrichs Lower Bound	2
Multiplier and Composition Operator Between Several Holomorphic Function Spaces in $$\mathbf {C^{n}}$$	2
Sums of Dual Toeplitz Products on the Orthogonal Complements of the Hardy–Sobolev Spaces	2
The Zak Transform on Gelfand–Shilov and Modulation Spaces with Applications to Operator Theory	2
Yet Another Approach to Poly-Bergman Spaces	2
On a Singular Sylvester Equation with Unbounded Self-Adjoint A and B	2
On the Location of Zeros of Polynomials	2
Topological Properties of Regular Boundary Domains in Riemannian Manifolds	2
Bicomplex Polyharmonicity and Polyholomorphy	2
Hausdorff Operators on Weighted Banach Spaces of Type $$H^{\infty }$$	2
Existence of Extremals of Dunkl-Type Sobolev Inequality and of Stein–Weiss Inequality for Dunkl Riesz Potential	2
On Approximate Operator Representations of Sequences in Banach Spaces	2
Commuting Tuples of Normal Operators in Hilbert Spaces	2
Ambarzumian-type Problems for Discrete Schrödinger Operators	2
Mandelbrot and Julia Sets of Complex Polynomials Involving Sine and Cosine Functions via Picard–Mann Orbit	2
Pseudo Numerical Ranges and Spectral Enclosures	2
On Multivariate Matsaev’s Conjecture	2
Band Edge Limit of the Scattering Matrix for Quasi-One-Dimensional Discrete Schrödinger Operators	2
Arithmetic and Analysis of the Series $${ \sum _{n=1}^{\infty } \frac{1}{n} \sin \frac{x}{n} }$$	2
Embedding Theorems and Area Operators on Bergman Spaces with Doubling Measure	2
Extension of Besov-Q Type Spaces via Convolution Operators with Applications	1
Products of Positive Operators	1
Geometric Properties of the Pentablock	1
Toeplitz Operators on the Fock Space with Quasi-Radial Symbols	1
Carleson Measures for Harmonic Fock Spaces in the Plane	1
Paley–Wiener–Schwartz Type Theorem for Ultradistributional Wavelet Transform	1
2-Complex Symmetric Weighted Composition Operators on the Weighted Bergman Spaces of the Half-Plane	1
The Reducibility of Truncated Toeplitz Operators	1
Revitalising Pedrick’s Approach to Reproducing Kernel Hilbert Spaces	1
Spectral Analysis of Perturbed Fredholm Operators	1
Functions and Operators in Real, Quaternionic, and Cliffordian Contexts	1
Bergman Kernels of Two Dimensional Monomial Polyhedra	1
Riesz–Kolmogorov Type Compactness Criteria in Function Spaces with Applications	1
Sums of Polyanalytic Dual Toeplitz Products	1
Completeness Problem via Fixed Point Theory	1
Application of Abstract Semigroup Theory to the Asymptotic Behavior of $$C_0$$-Semigroups	1
Scattering Operator and Wave Operators for 2D Schrödinger Operators with Threshold Obstructions	1
Null Controllability of a Degenerate Schrödinger Equation	1
Level Sets of the Hyperbolic Derivative for Analytic Self-Maps of the Unit Disk	1
Mean Convergence of Entire Interpolations in Weighted Space	1
Szegő and Widom Theorems for Finite Codimensional Subalgebras of a Class of Uniform Algebras	1
Slantification of Hankel Operators on Hardy Space of n-torus	1
Multivalued Linear Operator Equation $$A^{*}A = \lambda A^{n}$$	1
Riccati Equations Revisited: Linearization and Analytic Interpretation of Instanton-Type Solutions	1
Completing an Operator Matrix and the Free Joint Numerical Radius	1
Weighted Composition Semigroups on Some Banach Spaces	1
Global Properties of Eigenvalues of Parametric Rank One Perturbations for Unstructured and Structured Matrices II	1
On Certain Functional and Partial Differential Equations, II	1
Cloning of Symmetric Operators	1
Riemann–Liouville and Caputo Fractional Potentials Associated with the Number Operator	1
Dual Convolution for the Affine Group of the Real Line	1
Hinčin’s Theorem for Additive Free Convolutions of Tracial R-Diagonal $$*$$-Distributions	1
Necessary Conditions for Boundedness of Translation Operator in de Branges Spaces	1
On Fiber Bundles and Quaternionic Slice Regular Functions	1
Generalized Hausdorff-Zhu Operators on Möbius Invariant Spaces	1
Frame Wavelets of Local Fields with No Dual Wavelet Frames	1
On a Class of Integral Systems	1
A Differential Operator Representation of Continuous Homomorphisms Between the Spaces of Entire Functions of Given Proximate Orders	1
Frame-Less Hilbert C$$^*$$-modules II	1
Characteristic Polynomials of Random Banded Hessenberg Matrices and Hermite–Padé Approximation	1
Radon Transforms in Hyperbolic Spaces and Their Discrete Counterparts	1
Exterior Powers and Pointwise Creation Operators	1
Flexibility of Analysis Serving Computational Polynomial Algebra or Arithmetics	1
Density of Frame Wavelets and Tight Frame Wavelets in Local Fields	1
Heisenberg Uncertainty Principles for the Dunkl-Type Fock Space	1
The Exact Number of Orthogonal Exponentials of a Class of Moran Measures on $$\mathbb {R}^{3}$$	1

The Resolution of Euclidean Massless Field Operators of Higher Spins on $${\mathbb {R}}^6$$ and the $$L^2$$ Method	1
Spectral Analysis Near Regular Point of Reducibility and Representations of Coxeter Groups	1
Cauchy Formulae and Hardy Spaces in Discrete Octonionic Analysis	1
The Haseman Boundary Value Problem with Quasicontinuous Coefficients and Shifts	1
Distributions for Nonsymmetric Monotone and Weakly Monotone Position Operators	1
Hölder Continuity of Generalized Harmonic Functions in the Unit Disc	1
Asymptotics and Isometries of Weighted Composition Operators on Banach Spaces of Holomorphic Functions	1
Toeplitz Operators with Homogeneous Symbols on Polyharmonic Spaces	1
Schanuel’s Lemma for Exact Categories	1
Toeplitz Operators Associated with the Deformed Windowed Fourier Transform	1
Global Plemelj Formula of Slice Dirac Operator in Octonions with Complex Spine	1
Commutative Toeplitz Algebras and Their Gelfand Theory: Old and New Results	1
Approximation in Weighted Analytic Besov Spaces and in Generalized Fock Spaces	1
Rational Penta-Inner Functions and the Distinguished Boundary of the Pentablock	1
Higher Dimensional Numerical Range of $$\xi $$-Lie Products on Bound Self-adjoint Operators	1
Solvability Criterion for Convolution Equations on a Half-Strip	1
Vector-Valued Reproducing Kernel Hilbert $$C^*$$-Modules	1
Quantum Permutation Matrices	1
A Schwarz Lemma for the Symmetrized Polydisc Via Estimates on Another Family of Domains	1
On the Rate of Polynomial Approximations of Holomorphic Functions on Convex Compact Sets	1
Quaternionic Convolutional Neural Networks with Trainable Bessel Activation Functions	1
Average and Convolution Sampling over Shift-Invariant Spaces	1
Noncommutative Schwarz lemma and Pick–Julia Theorems for Generalized Derivations in Norm Ideals of Compact Operators	1
Closures of Bergman–Besov Spaces in the Weighted Bloch Spaces on the Unit Ball	1
Best Approximations in a Class of Lorentz Ideals	1
Fredholm Weighted Generalized Composition Operators	1
Boundedness of the Orthogonal Projection on Harmonic Fock Spaces	1
Clifford Analysis with Indefinite Signature	1
Real Hardy Space, Multidimensional Variations, and Integrability of the Fourier Transform	1
Uncertainty Principles and Differential Operators on the Weighted Bergman Space	1
A Note on Generalized Tricircular Projections on Spaces of Bounded Variation Functions	1
On the Plane Lamé–Navier System in Fractal Domains	1
Weighted Bergman Spaces Associated with the Hyperbolic Group	0
Counterexamples to Bicomplex Analogue of Bloch’s Principle and its Converse	0
Spectral Analysis of the Laplacian Acting on Discrete Cusps and Funnels	0
Demicompactness Results and Frobenuis Schur’s Decomposition for Block Operator Matrices in Right Quaternionic Hilbert Spaces	0
The Kaczmarz Algorithm in Banach Spaces	0
On Realization of the Original Weyl–Titchmarsh Functions by Shrödinger L-systems	0
Universal Decomposition Equalities for Operator Matrices in a Hilbert Space	0
André Martineau: Some Memories	0
Variational Principles in Quaternionic Analysis with Applications to the Stationary MHD Equations	0
Carleson Measures and Toeplitz Operators Between Bergman Spaces on the Siegel Upper Half-space	0
Free Probability on Banach Algebras Induced by Scaled Hypercomplex Numbers	0
Krein Space Representations and Radon–Nikodým Theorem for Local $$\alpha $$-Completely Positive Maps	0
Harmonic Bergman Spaces on the Real Hyperbolic Ball: Atomic Decomposition, Interpolation and Inclusion Relations	0
Function Theory from Tensor Algebras	0
Solutions for a Nonlocal Elliptic System with General Growth	0
Slice Spirallike Functions over Quaternions	0
Stepanov and Weyl Classes of c-Almost Periodic Type Functions	0
A-Isometries and Hilbert-A-Modules Over Product Domains	0
Paley–Wiener-Type Theorems Associated to the Laplace–Bessel Operator	0
Asymptotic Behaviour of the Non-real Pair-Eigenvalues of a Two Parameter Eigenvalue Problem	0
Multiple and Nodal Solutions for Parametric Dirichlet Equations Driven by the Double Phase Differential Operator	0
Representation Theorems for the Cauchy Transform in Weighted Bergman–Dirichlet Spaces	0
On an Extension of Stević–Sharma Operator from Weighted Bergman–Orlicz Space to Weighted-Type Space on the Unit Ball	0
Explicit Relation Between Two Resolvent Matrices of the Truncated Hausdorff Matrix Moment Problem	0
Adaptive Decompositions in Monogenic Reproducing Kernel Hilbert Spaces of Paley–Wiener Type	0
Existence of Geodesic Spirals for the Kobayashi–Fuks Metric on Planar Domains	0
Boundary Distance Functions of Riemann Domains Over Pre-Hilbert Spaces	0
The Spectrum of the Non-self-adjoint Twisted Laplacian on $$\displaystyle \mathbb {R}^2$$	0
Szegö’s Theorem on Hardy Spaces Induced by Rotation-Invariant Borel Measures	0
A Peak Set with a Maximal Hausdorff Dimension on Each Slice	0
Higgs Algebras in Classical Harmonic Analysis	0
Characterization of Non-Stationary Wavelets and Non-Stationary Multiresolution Analysis Wavelets Related to Walsh Functions	0
Inequalities for N-Operator	0
The Banach–Stone Theorem in Finsler $$C^*$$-Modules	0
Modulus of Smoothness and Approximation Theorems in Clifford Analysis	0
Tree Martingales in Noncommutative Probability Spaces	0
Localization Operators and Scalogram in the Framework of Mehler–Fock Wavelet Transform	0
A Dirichlet Boundary Value Problem for Fractional Monogenic Functions in the Riemann–Liouville Sense	0
Remarks on Commuting Functions of Operators	0
Sets of Uniqueness, Weakly Sufficient Sets and Sampling Sets for Weighted Spaces of Holomorphic Functions in the Unit Ball	0
The Poisson Convolution Associated with the Spherical Mean Operator	0
Wellposedness of Second Order Evolution Equations	0
Operator Theory on Noncommutative Varieties in Polydomains	0
Relatively Bounded Perturbations of J-Non-Negative Operators	0
Notes on Hypercyclicity of Composition Operator on the Weighted Dirichlet Spaces	0
Riesz Projection and Essential S-spectrum in Quaternionic Setting	0
Gevrey Type Regularity of the Riesz–Feller Operator Perturbed by Gradient in $$L^p(\mathbb {R})$$	0
The Berberian’s Transform and an Asymmetric Putnam–Fuglede Theorem	0
Bochner–Hecke Theorems in the Generalized Weinstein Theory Setting	0
Local Ergodic Theorems for $$C_0$$-Semigroups	0
p-Summable Commutators in Bergman Spaces on Egg Domains	0
Steven George Krantz (1951 -) Celebrates his 70th Birthday	0
Variable Triebel–Lizorkin–Lorentz Spaces Associated to Operators	0
Hadamard–Bergman Operators on Weighted Spaces	0
Characterization and Non-characterization of Domains by Their Isotropy Groups	0
Generalized Weighted Composition Operators on Vector-Valued Weighted Bergman Space	0
Dilations and Operator Models of $${\mathcal {W}}$$-Hypercontractions	0
The Boundedness of Forelli–Rudin Type Operators on the Siegel Upper Half Space	0
Freedman Inequality in Noncommutative Probability Spaces	0
Factorizations of Characteristic Functions of Iterated Liftings	0
Composition Operators on Function Spaces on the Halfplane: Spectra and Semigroups	0
Non-spectrality of a class of Moran measures on $$\mathbb {R}^{3}$$	0
Noncommutative Mulholland Inequalities Associated with Factors and Their Applications	0