Complex Analysis and Operator Theory

Papers
(The TQCC of Complex Analysis and Operator Theory is 2. 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 2022-08-01 to 2026-08-01.)
ArticleCitations
Steven George Krantz (1951 -) Celebrates his 70th Birthday33
Fredholm Index of 3-Tuple of Restriction Operators and the Pair of Fringe Operators for Submodules in $$H^2({\mathbb {D}}^3)$$24
Factorizations of Characteristic Functions of Iterated Liftings21
Slice Spirallike Functions over Quaternions16
Cospectral Trees Indistinguishable by Scattering15
Quantitative Cohomological Properties of Banach Algebras13
Sums of Polyanalytic Dual Toeplitz Products13
Local Spectral Theory for Unbounded Product of Nonnegative Selfadjoint Operators12
Dirichlet Problem for Nonlinear Higher-Order Equations in Upper Half Plane12
On Discrete Conjugate Harmonic Functions in Hypercomplex Analysis12
A Class of Nonlinear Hilfer Fractional Differential Control System with Distributed Delay and Damping11
Cauchy Integral Formula for Fuchsian Groups. II10
On Hardy-Like Spaces Induced by Tracial Unital Banach $$*$$-Probability Spaces10
A New Variant of Weighted Hermite-Hadamard Inequalities and Applications10
Sharper Paley-Wiener Theorem for the Dunkl Transform on $$\mathbb {R}^d$$10
A Model Theory for a Subclass of $$\mathbb {A}_r$$-Contractions10
Gradient Estimates in the Whole Space for the Double Phase Problems by the Maximal Function Method9
Some Operators on Minimal $$\alpha $$-Möbius Invariant Function Spaces9
Multipliers on Spaces of Holomorphic Functions on Runge Domains in $$\mathbb {C}^n$$9
On the Toeplitz Algebra in the Case of All Entire Functions and All Functions Holomorphic in the Unit Disc9
Boundary Method for Differential Subordinations of the Geometric Mean8
The Boundedness of Forelli–Rudin Type Operators on the Siegel Upper Half Space8
On the Limit Mapping of a Sequence of Open, Discrete Mappings Satisfying an Inverse Poletsky Modular Inequality8
Riesz Projection and Essential S-spectrum in Quaternionic Setting8
Time-Scaled Intertwining Cocycles and Identifiability of Multi-semigroup Mixtures on Hilbert Operator Networks8
Optimal Feedback Control of $$\psi $$-Hilfer Fractional Differential System with Hemivariational Inequalities8
Characterization of Dual Scalable Frames8
Hadamard–Bergman Operators on Weighted Spaces8
Numerical Radius and Norm Bounds via the Moore-Penrose Inverse8
Frame Wavelets of Local Fields with No Dual Wavelet Frames7
Operator Power means in the View of Fixed Points7
On polynomials in a nonnegative linear relation7
Uniqueness Problem for Level-1 Linearly Non-Degenerate Holomorphic Mappings Concerning Hypersurfaces7
Non-spectrality of a class of Moran measures on $$\mathbb {R}^{3}$$7
On an Interpolating Problem in a Generalized Hilbert Bargmann-Fock Space7
Blow-Up Theorems for p-Sub-Laplacian Heat Operators on Stratified Groups7
Singular Integral Operators with Rough Kernel on Function Spaces Over Local Fields6
Stochastic Clairaut Equation on Algebra of Generalized Functions6
Some Refinements for Numerical Radius Inequalities6
Topologizability and Power Boundedness of Convolutions and Toeplitz Operators on Power Series Spaces6
Three-Jets Determinations of Normalized Proper Holomorphic Maps from $$ \mathbb {H}_n$$ into $$\mathbb {H}_{3n-2}$$6
A Note on the Invariant Subspace Problem6
A Generalization of Ando’s Dilation, and Isometric Dilations for a Class of Tuples of q-Commuting Contractions6
Existence of Solutions and Optimal Control for Semilinear PDE Systems with Nonlinear Interactions6
Poincaré Type Results on a k-Dimensional Torus5
Riesz Points and Weyl’s Theorem in Quaternionic Setting5
Results on Approximate Controllability of $$\Psi $$-Hilfer Fractional Control Semilinear Systems via Gronwall’s Inequality5
On My Joint Work with Harry Dym5
Left-Invertibility of Rank-One Perturbations5
Complex Interpolation Between Two Mixed Norm Bergman Spaces in Tube Domains Over Homogeneous Cones5
Inequalities Involving Berezin Norm and Berezin Number5
Miniatures on Open Quantum Systems5
Kharitonov’s Theorem with Degree Drop: a Wronskian Approach5
m-Complex Symmetric Weighted Composition Operators on the Fock Space5
On the c-Entropy of L-Systems with Schrödinger Operator5
On the Asymptotic Behavior of Retarded Boundary Control Systems with Dynamic Boundary Conditions: Semigroup Approach5
Cyclicity via weak* Sequential Cyclicity in Radially Weighted Besov Spaces5
Time-Frequency Analysis Associated with the Generalized Linear Canonical Wavelet Transform and Applications5
A Numerical Radius Inequality for Hilbert–Schmidt Operators5
$${\mathfrak L}$$-Resolvent Matrices for Hamiltonian Integral Systems5
Compact Complex p-Kähler Hyperbolic Manifolds4
On q-Numerical Ranges of Operators4
On Cubic Blaschke Products4
Laurent Expansion and $$L_{2}$$-Boundary Values in Hermitian Clifford Analysis4
Vekua-Type Systems Related to Two-Sided Dual k-Hypermonogenic Functions4
Bohr Type Inequalities for Operator-Valued Holomorphic Functions on Simply Connected Domains4
Constructive of the Generalized Noise Process Based on Interacting Fock Spaces4
Discrete Quaternion Quadratic Phase Fourier Transform4
Periodic Functions: Self-Intersection and Local Singular Points4
Slodkowski’s Spectra Of Some New Generalized Spherical Aluthge Transform4
Stability Estimates in Determination of Non-orientable Surface from Its Dirichlet-to-Neumann Map4
Minimal Invariant Subspaces for an Affine Composition Operator4
The Matricial Szegő Mapping from the Perspective of Schur Analysis4
Quantum Permutation Matrices4
On Recovering Dirac Operators with Two Delays4
New Subclasses of Prestarlike Functions Defined by Fractional Quantum-Calculus4
Some New Characterizations of a Hermitian Matrix and Their Applications4
Quantum Mechanics of Arc-Sine and Semi-Circle Distributions: A Unified Approach4
Fredholmness of Singular Integral Operators with Complex Conjugation on Star-Like Curves with Cusps4
Generalized Volterra Integral Operators on Fock Spaces4
A Note on $$C^*$$-Algebra of Toeplitz Operators with $$\mathcal {L}$$-Invariant Symbols4
Matrix Mean Inequalities for Sector Matrices4
Exploring Cohomology, Deformations, and Hom-NS Structures in Hom-Leibniz Conformal Algebras Through Nijenhuis Operators4
Properties of the Fractional Pascal Appell Polynomials in Infinite Dimensional4
The Powers of Regular Linear Relations4
Characterizations of Finite Order Solutions of Circular Type Partial Differential-Difference Equations in $$ \mathbb {C}^n $$4
Optimal feedback control for Sobolev-type nonlocal Hilfer fractional neutral differential system with history-dependent operators4
Fractional Gamma Noise Functionals4
Harmonic Analysis Associated with the Jacobi–Dunkl Operator on $$(-\pi ,\pi )$$: Exotic Cases4
Deformations and q-Convolutions. Old and New Results4
On Frames of the Form $$\{T^k \varphi \}_{k=0}^\infty $$: Conditions and Characterizations4
Fundamental Solutions for the Laplace–Beltrami Operator Defined by the Conformal Hyperbolic Metric and Jacobi Polynomials4
Porosity and Supercyclic Operators on Banach Function Spaces4
A Direct Proof for the Existence of Best Approximation of Random Signals4
Hausdorff type operators on weighted Fock spaces4
Non-Self-Adjoint Block Convolution Operators of Scalar Type4
Completing an Operator Matrix and the Free Joint Numerical Radius4
Approximation by Meromorphic k-Differentials on Compact Riemann Surfaces4
The Threshold Effects for the Three-Particle Hamiltonians on Lattices3
Weighted Pullback Transforms on Riemann Surfaces3
Number Theoretic Related to the Scaling Spectrum of Self-similar Measure with Three Element Digit Sets3
Poisson’s Equation for Abel-Ergodic Theorems3
A Class of Norm Inequalities for Operator Monotone Functions and Hyponormal Operators3
Corona Theorem for the Classical Fock Space3
Geometric Interpolation in n-Tuples of Noncommutative $$L_p$$-Spaces3
A Note on the Order Lozanovsky Spectrum for Positive Operators3
Characterization of Forward, Vanishing, and Reverse Bergman Carleson Measures using Sparse Domination3
The Bicomplex Dual Fractional Hankel Transform3
Fractional Neutral Pantograph Systems with Non-Singular Kernel: Analysis and Numerical Approximation3
On The Monotony of Struve Functions3
Gaussian $$JN _p$$ Spaces3
On the Normality of the Sum of an Operator with its Drazin Inverse3
Factorization of operator valued kernels and their applications3
Biquaternion Windowed Linear Canonical Transform and Associated Uncertainty Inequalities3
Some Remarks on the Product Formula for Defect Numbers of Closed Operators3
Compression of kth order slant Hankel operators to model spaces3
Existence of Mild Solutions and Approximate Controllability of Stochastic Mixed Voltera - Fredholm Type Nonlinear Third-order Dispersion Equation3
Generalized $$\Pi $$-Operator in the Theory of Slice Monogenic Functions and Applications3
Modulus of Smoothness and Approximation Theorems in Clifford Analysis3
Spectral Theorems for the Two-Sided Quaternionic Dunkl Transform3
Quantum Stochastic Tricomi Equation3
Some Inequalities for Adjointable Operators on Hilbert $$C^*$$-Modules3
Gateaux Differentiability in the Banach Space of Meromorphic Functions3
A Study on Existence and Uniqueness for a Class of $${\psi }$$-Fractional Equations with Integro-Differential Terms and Functional Boundary Conditions3
Rearrangement Invariant Orthogonal Sums in Kreĭn Spaces. II3
Generalized Convolution Operator Associated with the (k, a)-Generalized Fourier Transform on the Real Line and Applications3
Study of the Operator $$\partial ^{k} \bar{\partial }^{k} + c$$ in the Weighted Hilbert Space $$L^2({\mathbb {C}}, {\text {e}}^{-\vert {\textrm{z}} \vert ^2})$$3
Generalized Hausdorff-Zhu Operators on Möbius Invariant Spaces3
Unified Approach to Ulam Stability in Volterra Integro-Differential Equations via Time Scales3
Correction to: Canonical Decomposition of Operators Associated with the Symmetrized Polydisc3
Stability Behavior of Nonlinear Fractional Discrete Systems with Riemann-Liouville Nabla Dynamics of Order (1,2)3
Characterization of (Weak) Phase Retrieval Dual Frames3
Weyl Sets in a Non-degenerate Truncated Matricial Hausdorff Moment Problem3
Multipliers on Spaces of Holomorphic Functions3
Boas Type Results for Two-Sided Quaternion Fourier Transform and Uniform Lipschitz Spaces3
The Infinite Order Integro-Differential Operators Associated with Dunkl Operator on $$\mathbb {R}$$3
A Short Proof of the Lemma of the Logarithmic Derivative in Several Complex Variables3
Spectrality of Self-affine Measures with Four-element Digit Sets in $$\mathbb {R}^{3}$$2
Comment to: Dynamics of Weighted Composition Operators2
Stability and Instability Analysis of a Holling Type III Diffusive Leslie-Gower Predator-Prey Model with Harvesting Rate2
Bergman Kernels for Monogenic and Contragenic Functions in the Interior and Exterior of a Sphere2
Partial Approximate Controllability of Hilfer Fractional Stochastic Differential System with Nonlocal Conditions2
Nevanlinna-Pick Interpolation in the Right Half-Plane2
Rough Singular Integral Operators, Spherical Maximal Functions and Maximal Bochner-Riesz Operators on Grand Morrey Spaces2
On the Smallness of Zygmund-Type, Bloch-Type Spaces and a New Approach to Weighted Composition Operators2
Necessary Conditions of $$\Gamma _n$$-Isometry Dilation and the Dilation of a Certain Family of $$\Gamma _3$$-Contractions2
Hodge Decomposition for Generalized Vekua Spaces in Higher Dimensions2
Linear Canonical Bargmann Transform2
The two-sided Bargmann Space2
Weighted Composition Semigroups on Spaces of Continuous Functions and Their Subspaces2
Basic Properties of Solutions of Boundary Value Problem for the Dirac-Wave Operator2
Boundary Distance Functions of Unramified Riemann Domains over $$\mathbb {C}^n$$2
Correction to: Almansi-Type Decomposition for Slice Regular Functions of Several Quaternionic Variables2
Completeness of Resonance States and Weyl Asymptotics of Resonances for Quantum Graphs2
Geometric Invariants for a Class of Submodules of Analytic Hilbert Modules Via the Sheaf Model2
$$\varepsilon $$-Numerical Range of Operator Polynomial2
Localization Operators and Scalogram in the Framework of Mehler–Fock Wavelet Transform2
Rudin’s Theorem for Model Domains2
The Spectrum and Fine Spectrum of (p, q)-Cesáro Matrices over the sequence space $$\ell _s(1<s<\infty )$$2
On the Spectral Gap of a Discrete Schrödinger Operator on the Path Graph in the Limit of Large Volume2
On the Manifolds with Noncompact Automorphism Groups2
Hardy Type Theorems for Linear Canonical Dunkl Transform2
Existence and Uniqueness of Hilfer-Katugampola Fractional Differential Equations with Almost Sectorial Operators2
New Results on the Optimal Feedback Control for Second-Order Neutral Evolution Systems with Hemivariational Inequalities and Damping2
Invariant Subspaces of Perturbed Backward Shift2
Slantification of Hankel Operators on Hardy Space of n-torus2
Closures of Holomorphic Tent Spaces in Weighted Bloch Spaces2
Hankel-Type Operator Acting on Hardy Spaces and Weighted Bergman Spaces2
On a Slice Hyper-Meromorphic Bergman Space2
Wirtinger Operators for Functions of Several Quaternionic Variables2
Free Probability on Banach Algebras Induced by Scaled Hypercomplex Numbers2
Local Rigidity of Quasi–Lie Brackets on Quaternionic Banach Modules and Applications to Nonlinear PDEs2
Uncertainty Principles with Discrete Quaternion Fourier Transforms2
Irreducibility of Quantum Markov Semigroups, uniqueness of invariant states and related properties2
Spectral Properties of Hausdorff Operators on Fock Spaces2
A Note of the Interpolating Sequences for $${\mathcal {Q}}_K\bigcap H^\infty $$2
Topological Regularity for Solutions to the Generalised Hopf Equation2
Demicompactness Results and Frobenuis Schur’s Decomposition for Block Operator Matrices in Right Quaternionic Hilbert Spaces2
Factorization of Equilibrium Equation in Toupin–Mindlin Strain-Gradient Elasticity in Quaternion Analysis2
Extending Dirac and Faddeev-Jackiw Formalisms to Fractal First $$\alpha $$-Order Lagrangian Systems2
A Peak Set with a Maximal Hausdorff Dimension on Each Slice2
Biquaternion Linear Canonical Wavelet Transform: Theory and Applications2
Free-Product Banach Algebras Induced by Scaled Hypercomplex Numbers2
Heisenberg Uncertainty Principles for the Dunkl-Type Fock Space2
On the Similarity of Boundary Triples of Symmetric Operators in Krein Spaces2
Stratified Hilbert Modules on Bounded Symmetric Domains2
Kernel, Image and Scattering Representations of Passive State/Signal Systems2
Stability and T-Controllability for a Coupled Fractional Stochastic Integro Systems with Integral Boundary Conditions2
Rebricking Wavelets2
Existence of Solutions for a Class of Fractional $$p-$$Laplacian Equations with Innovative Conditions2
Hypercyclic Generalized Shift Operators2
On the Surface Area of Graphs, Related Connectivity Measures and Spectral Estimates2
New Results on Dynamical Systems with Impulsive Fractional Stochastic Integro-Differential Delay Conditions2
Strongly Continuous Weighted Composition Semigroups on the Hardy Space of the Unit Ball2
Realization of Inverse Stieltjes Functions $$(-m_\alpha (z))$$ by Schrödinger L-Systems2
Flag Manifolds of C*-Algebras2
$${{\mathcal {R}}}$$-Bounded Operator Families Arising from a Compressible Fluid Model of Korteweg Type with Surface Tension in the Half-Space2
The Schur–Potapov Algorithm in the General Matrix Case and Its Application to the Matricial Schur Problem2
Jacobson’s Lemma for Spectral Idempotents in Banach Algebras2
Orthogonal Polynomials on Bubble-Diamond Fractals2
Stepanov and Weyl Classes of c-Almost Periodic Type Functions2
The Exact Number of Orthogonal Exponentials of a Class of Moran Measures on $$\mathbb {R}^{3}$$2
The Number and Location of Eigenvalues for the Two-Particle Schrödinger Operators on Lattices2
Hilbert Transform, Nevanlinna Class and Toeplitz Kernels2
The Analysis of Functions in Some Algebras of Order 3 with Unit2
Finite-Time Stability and Attractiveness of Uncertain Nonlinear Nabla Fractional Systems Involving Hilfer-Type Operators2
On the Structure of Real Operators2
Continuous Dependence of Szegő Kernel on a Weight of Integration2
The Helton-Howe Trace Formula for the Fock Space2
Carleson Measures for Weighted Harmonic Mixed-Norm Spaces and Toeplitz Operators2
A Remark on Hyponormality of Block Toeplitz Operators on the Weighted Bergman Spaces2
Wiener-Hopf Indices of Unitary-Valued Functions on the Imaginary Axis2
Families of Symmetric Operators with Trivial Domains of Their Squares2
Five Hilbert Space Problems in Operator Algebras2
A Note on Approximate Controllability Results for History-Dependent Fractional Stochastic Hemivariational Inequalities2
Segal–Bargmann Transforms Associated to a Family of Coupled Supersymmetries2
Bi-Composite Difference Operator and Entire Solutions of Fermat-type Functional Equation2
Holomorphic Extensions of Generalized Hadamard Product2
Vekua Integral Transform for Harmonic and Metaharmonic Functions in the Dunkl Setting2
The Sharp Bounds of the Third Hankel Determinant for Starlike Mappings and Starlike Mappings of Order 1/2 in Complex Banach Spaces2
Correction to: b-AM-Dunford–Pettis Operators on Banach Lattices2
Integral Representation Formulas in Banach Algebra Settings2
0.096714019775391