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
On Weaving g-Frames for Hilbert Spaces	8
Disjoint Dynamics on Weighted Orlicz Spaces	8
Numerical Radius Inequalities for Hilbert Space Operators	8
A Derivative-Hilbert Operator Acting on the Bloch Space	7
Poly-analytic Functions and Representation Theory	7
Boundedness of the Bergman Projection on Generalized Fock–Sobolev Spaces on $${{\mathbb {C}}}^n$$	7
Cesàro Summability of Taylor Series in Weighted Dirichlet Spaces	6
The Commutant of Some Shift Operators	6
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
Nearly Invariant Subspaces with Applications to Truncated Toeplitz Operators	5
Zero-Range Hamiltonian for a Bose Gas with an Impurity	5
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
On Vector-Valued Characters for Noncommutative Function Algebras	4
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
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
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
Spectrum of the Cesàro Operator on the Ultradifferentiable Function Spaces $${\mathcal E}_\omega ({\mathbb {R}}_+)$$	2
Mandelbrot and Julia Sets of Complex Polynomials Involving Sine and Cosine Functions via Picard–Mann Orbit	2
Topological Structure of the Space of Composition Operators Between Different Fock Spaces	2
On Multivariate Matsaev’s Conjecture	2
On the Operator Hermite–Hadamard Inequality	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
The Generalised Laplace Operator and the Topological Characteristic of Removable $$ {\overline{S}} $$ - Singular Sets of Subharmonic Functions	2
New Paley–Wiener Theorems	2
Equivalent Characterizations and Pointwise Multipliers of Normal Weight Dirichlet Space on the Unit Ball	2
Weak Solutions to the Complex m-Hessian Type Equation on Open Subsets of $${\mathbb {C}}^n$$	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
Algebraic Properties of Toeplitz Operators on the Symmetrized Polydisk	2
Multiplier and Composition Operator Between Several Holomorphic Function Spaces in $$\mathbf {C^{n}}$$	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
Integration of Functions of a Hyperbolic Variable	2
On the Location of Zeros of Polynomials	2
Generalized Inverses of Conditional Type Operators	2
Bicomplex Polyharmonicity and Polyholomorphy	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
Sums of Dual Toeplitz Products on the Orthogonal Complements of the Hardy–Sobolev Spaces	2
Pseudo Numerical Ranges and Spectral Enclosures	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
Topological Properties of Regular Boundary Domains in Riemannian Manifolds	2
Representable Projections and Semi-Projections in a Hilbert Space	2
Hausdorff Operators on Weighted Banach Spaces of Type $$H^{\infty }$$	2
Almansi-Type Theorem for Polymonogenic Functions in ballshell Domain	2
Numerical Radius Inequalities for Finite Sums of Operators	2
Discrete Hardy Spaces for Bounded Domains in $${\mathbb {R}}^{n}$$	2
Bergman Kernels of Two Dimensional Monomial Polyhedra	1
Geometric Properties of the Pentablock	1
Riesz–Kolmogorov Type Compactness Criteria in Function Spaces with Applications	1
Sums of Polyanalytic Dual Toeplitz Products	1
Paley–Wiener–Schwartz Type Theorem for Ultradistributional Wavelet Transform	1
Completeness Problem via Fixed Point Theory	1
Scattering Operator and Wave Operators for 2D Schrödinger Operators with Threshold Obstructions	1
The Reducibility of Truncated Toeplitz Operators	1
Application of Abstract Semigroup Theory to the Asymptotic Behavior of $$C_0$$-Semigroups	1
Level Sets of the Hyperbolic Derivative for Analytic Self-Maps of the Unit Disk	1
Null Controllability of a Degenerate Schrödinger Equation	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
On Certain Functional and Partial Differential Equations, II	1
Cloning of Symmetric Operators	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
Generalized Hausdorff-Zhu Operators on Möbius Invariant Spaces	1
On Fiber Bundles and Quaternionic Slice Regular Functions	1
On a Class of Integral Systems	1
Frame Wavelets of Local Fields with No Dual Wavelet Frames	1
Global Properties of Eigenvalues of Parametric Rank One Perturbations for Unstructured and Structured Matrices II	1
A Differential Operator Representation of Continuous Homomorphisms Between the Spaces of Entire Functions of Given Proximate Orders	1
Riemann–Liouville and Caputo Fractional Potentials Associated with the Number Operator	1
Frame-Less Hilbert C$$^*$$-modules II	1
Characteristic Polynomials of Random Banded Hessenberg Matrices and Hermite–Padé Approximation	1
Necessary Conditions for Boundedness of Translation Operator in de Branges Spaces	1
Radon Transforms in Hyperbolic Spaces and Their Discrete Counterparts	1
Flexibility of Analysis Serving Computational Polynomial Algebra or Arithmetics	1
Exterior Powers and Pointwise Creation Operators	1
Heisenberg Uncertainty Principles for the Dunkl-Type Fock Space	1
Density of Frame Wavelets and Tight Frame Wavelets in Local Fields	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
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
Schanuel’s Lemma for Exact Categories	1
Toeplitz Operators Associated with the Deformed Windowed Fourier Transform	1

Rational Penta-Inner Functions and the Distinguished Boundary of the Pentablock	1
Commutative Toeplitz Algebras and Their Gelfand Theory: Old and New Results	1
Solvability Criterion for Convolution Equations on a Half-Strip	1
Higher Dimensional Numerical Range of $$\xi $$-Lie Products on Bound Self-adjoint Operators	1
The Haseman Boundary Value Problem with Quasicontinuous Coefficients and Shifts	1
Vector-Valued Reproducing Kernel Hilbert $$C^*$$-Modules	1
Toeplitz Operators with Homogeneous Symbols on Polyharmonic Spaces	1
Quantum Permutation Matrices	1
A Schwarz Lemma for the Symmetrized Polydisc Via Estimates on Another Family of Domains	1
Global Plemelj Formula of Slice Dirac Operator in Octonions with Complex Spine	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
Approximation in Weighted Analytic Besov Spaces and in Generalized Fock Spaces	1
Average and Convolution Sampling over Shift-Invariant Spaces	1
Closures of Bergman–Besov Spaces in the Weighted Bloch Spaces on the Unit Ball	1
Noncommutative Schwarz lemma and Pick–Julia Theorems for Generalized Derivations in Norm Ideals of Compact Operators	1
Fredholm Weighted Generalized Composition Operators	1
Best Approximations in a Class of Lorentz Ideals	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
On the Plane Lamé–Navier System in Fractal Domains	1
Extension of Besov-Q Type Spaces via Convolution Operators with Applications	1
Products of Positive Operators	1
Toeplitz Operators on the Fock Space with Quasi-Radial Symbols	1
Carleson Measures for Harmonic Fock Spaces in the Plane	1
Revitalising Pedrick’s Approach to Reproducing Kernel Hilbert Spaces	1
2-Complex Symmetric Weighted Composition Operators on the Weighted Bergman Spaces of the Half-Plane	1
Functions and Operators in Real, Quaternionic, and Cliffordian Contexts	1
Spectral Analysis of Perturbed Fredholm Operators	1
A Note on Generalized Tricircular Projections on Spaces of Bounded Variation Functions	1