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 2021-12-01 to 2025-12-01.)
ArticleCitations
Steven George Krantz (1951 -) Celebrates his 70th Birthday27
Fredholm Index of 3-Tuple of Restriction Operators and the Pair of Fringe Operators for Submodules in $$H^2({\mathbb {D}}^3)$$26
On Hardy-Like Spaces Induced by Tracial Unital Banach $$*$$-Probability Spaces20
Slice Spirallike Functions over Quaternions11
Factorizations of Characteristic Functions of Iterated Liftings11
On the Toeplitz Algebra in the Case of All Entire Functions and All Functions Holomorphic in the Unit Disc10
A Class of Nonlinear Hilfer Fractional Differential Control System with Distributed Delay and Damping9
Carleson Measures and Toeplitz Operators Between Bergman Spaces on the Siegel Upper Half-space9
Local Spectral Theory for Unbounded Product of Nonnegative Selfadjoint Operators9
Some Operators on Minimal $$\alpha $$-Möbius Invariant Function Spaces9
On the Limit Mapping of a Sequence of Open, Discrete Mappings Satisfying an Inverse Poletsky Modular Inequality8
Dirichlet Problem for Nonlinear Higher-Order Equations in Upper Half Plane8
Cospectral Trees Indistinguishable by Scattering8
Sums of Polyanalytic Dual Toeplitz Products8
Boundary Method for Differential Subordinations of the Geometric Mean8
The Boundedness of Forelli–Rudin Type Operators on the Siegel Upper Half Space7
Quantitative Cohomological Properties of Banach Algebras7
Characterization of Dual Scalable Frames7
Sharper Paley-Wiener Theorem for the Dunkl Transform on $$\mathbb {R}^d$$7
On Discrete Conjugate Harmonic Functions in Hypercomplex Analysis7
Riesz Projection and Essential S-spectrum in Quaternionic Setting7
Gradient Estimates in the Whole Space for the Double Phase Problems by the Maximal Function Method7
Optimal Feedback Control of $$\psi $$-Hilfer Fractional Differential System with Hemivariational Inequalities6
Non-spectrality of a class of Moran measures on $$\mathbb {R}^{3}$$6
Uniqueness Problem for Level-1 Linearly Non-Degenerate Holomorphic Mappings Concerning Hypersurfaces6
Hadamard–Bergman Operators on Weighted Spaces6
Cauchy Integral Formula for Fuchsian Groups. II6
On Characterization of Hilbert Transform of Riemannian Surface with Boundary6
On the Asymptotic Behavior of Retarded Boundary Control Systems with Dynamic Boundary Conditions: Semigroup Approach6
Numerical Radius and Norm Bounds via the Moore-Penrose Inverse6
Stochastic Clairaut Equation on Algebra of Generalized Functions6
Blow-Up Theorems for p-Sub-Laplacian Heat Operators on Stratified Groups6
Operator Power means in the View of Fixed Points6
Frame Wavelets of Local Fields with No Dual Wavelet Frames5
Inequalities Involving Berezin Norm and Berezin Number5
On polynomials in a nonnegative linear relation5
Complex Interpolation Between Two Mixed Norm Bergman Spaces in Tube Domains Over Homogeneous Cones5
Some Refinements for Numerical Radius Inequalities5
Singular Integral Operators with Rough Kernel on Function Spaces Over Local Fields5
A Generalization of Ando’s Dilation, and Isometric Dilations for a Class of Tuples of q-Commuting Contractions5
Poincaré Type Results on a k-Dimensional Torus5
On My Joint Work with Harry Dym5
A Note on the Invariant Subspace Problem5
Results on Approximate Controllability of $$\Psi $$-Hilfer Fractional Control Semilinear Systems via Gronwall’s Inequality5
Three-Jets Determinations of Normalized Proper Holomorphic Maps from $$ \mathbb {H}_n$$ into $$\mathbb {H}_{3n-2}$$5
Kharitonov’s Theorem with Degree Drop: a Wronskian Approach5
m-Complex Symmetric Weighted Composition Operators on the Fock Space5
Vekua-Type Systems Related to Two-Sided Dual k-Hypermonogenic Functions4
A Numerical Radius Inequality for Hilbert–Schmidt Operators4
Left-Invertibility of Rank-One Perturbations4
Harmonic Analysis Associated with the Jacobi–Dunkl Operator on $$(-\pi ,\pi )$$: Exotic Cases4
Discrete Quaternion Quadratic Phase Fourier Transform4
Constructive of the Generalized Noise Process Based on Interacting Fock Spaces4
The Cauchy Transform of the Square Root Function on the Circle4
On the c-Entropy of L-Systems with Schrödinger Operator4
Periodic Functions: Self-Intersection and Local Singular Points4
On Recovering Dirac Operators with Two Delays4
Fundamental Solutions for the Laplace–Beltrami Operator Defined by the Conformal Hyperbolic Metric and Jacobi Polynomials4
Toeplitz Operators Associated with the Deformed Windowed Fourier Transform4
Generalized Volterra Integral Operators on Fock Spaces4
A Note on $$C^*$$-Algebra of Toeplitz Operators with $$\mathcal {L}$$-Invariant Symbols4
Approximation by Meromorphic k-Differentials on Compact Riemann Surfaces3
Compact Complex p-Kähler Hyperbolic Manifolds3
Generalized Hausdorff-Zhu Operators on Möbius Invariant Spaces3
Poisson’s Equation for Abel-Ergodic Theorems3
Properties of the Fractional Pascal Appell Polynomials in Infinite Dimensional3
A Short Proof for the Twisted Multiplicativity Property of the Operator-Valued S-transform3
Minimal Invariant Subspaces for an Affine Composition Operator3
Some New Characterizations of a Hermitian Matrix and Their Applications3
The Joint Spectrum for a Commuting Pair of Isometries in Certain Cases3
Exploring Cohomology, Deformations, and Hom-NS Structures in Hom-Leibniz Conformal Algebras Through Nijenhuis Operators3
Matrix Mean Inequalities for Sector Matrices3
Laurent Expansion and $$L_{2}$$-Boundary Values in Hermitian Clifford Analysis3
Average and Convolution Sampling over Shift-Invariant Spaces3
Corona Theorem for the Classical Fock Space3
A Short Proof of the Lemma of the Logarithmic Derivative in Several Complex Variables3
Number Theoretic Related to the Scaling Spectrum of Self-similar Measure with Three Element Digit Sets3
Stability Behavior of Nonlinear Fractional Discrete Systems with Riemann-Liouville Nabla Dynamics of Order (1,2)3
Completing an Operator Matrix and the Free Joint Numerical Radius3
Deformations and q-Convolutions. Old and New Results3
Biquaternion Windowed Linear Canonical Transform and Associated Uncertainty Inequalities3
Quantum Mechanics of Arc-Sine and Semi-Circle Distributions: A Unified Approach3
The Matricial Szegő Mapping from the Perspective of Schur Analysis3
Fractional Gamma Noise Functionals3
Fredholmness of Singular Integral Operators with Complex Conjugation on Star-Like Curves with Cusps3
Stability Estimates in Determination of Non-orientable Surface from Its Dirichlet-to-Neumann Map3
Quantum Permutation Matrices3
The Powers of Regular Linear Relations3
Existence of Mild Solutions and Approximate Controllability of Stochastic Mixed Voltera - Fredholm Type Nonlinear Third-order Dispersion Equation3
A Class of Norm Inequalities for Operator Monotone Functions and Hyponormal Operators3
Gaussian $$JN _p$$ Spaces3
An Operator-Valued Analogue of a Result of Bombieri3
Correction to: Canonical Decomposition of Operators Associated with the Symmetrized Polydisc3
Characterizations of Finite Order Solutions of Circular Type Partial Differential-Difference Equations in $$ \mathbb {C}^n $$3
On Frames of the Form $$\{T^k \varphi \}_{k=0}^\infty $$: Conditions and Characterizations3
Slodkowski’s Spectra Of Some New Generalized Spherical Aluthge Transform3
Non-Self-Adjoint Block Convolution Operators of Scalar Type3
Approximation in the Mean on Rational Curves3
A-Isometries and Hilbert-A-Modules Over Product Domains2
Comment to: Dynamics of Weighted Composition Operators2
$${{\mathcal {R}}}$$-Bounded Operator Families Arising from a Compressible Fluid Model of Korteweg Type with Surface Tension in the Half-Space2
The Number and Location of Eigenvalues for the Two-Particle Schrödinger Operators on Lattices2
The Berberian’s Transform and an Asymmetric Putnam–Fuglede Theorem2
Existence and Uniqueness of Hilfer-Katugampola Fractional Differential Equations with Almost Sectorial Operators2
Bergman Kernels for Monogenic and Contragenic Functions in the Interior and Exterior of a Sphere2
A Study on Existence and Uniqueness for a Class of $${\psi }$$-Fractional Equations with Integro-Differential Terms and Functional Boundary Conditions2
Hilbert Transform, Nevanlinna Class and Toeplitz Kernels2
On the Location of Zeros of Polynomials2
Demicompactness Results and Frobenuis Schur’s Decomposition for Block Operator Matrices in Right Quaternionic Hilbert Spaces2
The Bicomplex Dual Fractional Hankel Transform2
Characterizations of Square Roots of Unitary Weighted Composition Operators on $$H^2$$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
Some Inequalities for Adjointable Operators on Hilbert $$C^*$$-Modules2
Heisenberg Uncertainty Principles for the Dunkl-Type Fock Space2
Realization of Inverse Stieltjes Functions $$(-m_\alpha (z))$$ by Schrödinger L-Systems2
Extending Dirac and Faddeev-Jackiw Formalisms to Fractal First $$\alpha $$-Order Lagrangian Systems2
On The Monotony of Struve Functions2
Spectral Analysis of Perturbed Fredholm Operators2
Weyl Sets in a Non-degenerate Truncated Matricial Hausdorff Moment Problem2
Completeness of Resonance States and Weyl Asymptotics of Resonances for Quantum Graphs2
Generalized Convolution Operator Associated with the (k, a)-Generalized Fourier Transform on the Real Line and Applications2
Carleson Measures for Weighted Harmonic Mixed-Norm Spaces and Toeplitz Operators2
Equivalent Norms on Generalized Fock Spaces and the Extended Cesàro Operators2
A Peak Set with a Maximal Hausdorff Dimension on Each Slice2
Uncertainty Principles with Discrete Quaternion Fourier Transforms2
Characterization of (Weak) Phase Retrieval Dual Frames2
Jacobson’s Lemma for Spectral Idempotents in Banach Algebras2
Boas Type Results for Two-Sided Quaternion Fourier Transform and Uniform Lipschitz Spaces2
On the Structure of Real Operators2
Gateaux Differentiability in the Banach Space of Meromorphic Functions2
Some Remarks on the Product Formula for Defect Numbers of Closed Operators2
Nevanlinna-Pick Interpolation in the Right Half-Plane2
Free Probability on Banach Algebras Induced by Scaled Hypercomplex Numbers2
On the Normality of the Sum of an Operator with its Drazin Inverse2
Topological Regularity for Solutions to the Generalised Hopf Equation2
Characterization of Forward, Vanishing, and Reverse Bergman Carleson Measures using Sparse Domination2
Hodge Decomposition for Generalized Vekua Spaces in Higher Dimensions2
Modulus of Smoothness and Approximation Theorems in Clifford Analysis2
Closures of Holomorphic Tent Spaces in Weighted Bloch Spaces2
Stepanov and Weyl Classes of c-Almost Periodic Type Functions2
Correction to: Almansi-Type Decomposition for Slice Regular Functions of Several Quaternionic Variables2
Multipliers on Spaces of Holomorphic Functions2
Weighted Composition Semigroups on Spaces of Continuous Functions and Their Subspaces2
The Sharp Bound of the Third Hankel Determinant for Starlike Functions of Order 1/22
A Note on the Order Lozanovsky Spectrum for Positive Operators2
Linear Canonical Bargmann Transform2
Geometric Interpolation in n-Tuples of Noncommutative $$L_p$$-Spaces2
Basic Properties of Solutions of Boundary Value Problem for the Dirac-Wave Operator2
Weighted Pullback Transforms on Riemann Surfaces2
Localization Operators and Scalogram in the Framework of Mehler–Fock Wavelet Transform2
Fractional Neutral Pantograph Systems with Non-Singular Kernel: Analysis and Numerical Approximation2
Free-Product Banach Algebras Induced by Scaled Hypercomplex Numbers2
The Threshold Effects for the Three-Particle Hamiltonians on Lattices2
Finite-Time Stability and Attractiveness of Uncertain Nonlinear Nabla Fractional Systems Involving Hilfer-Type Operators2
The Infinite-Dimensional Standard and Strict Bounded Real Lemmas in Continuous Time: The Storage Function Approach1
Estimation and Monte Carlo Simulation Based on a New Flexible Weibull Frechet Model with Applications from the Medical and Engineering Fields1
A Note of the Interpolating Sequences for $${\mathcal {Q}}_K\bigcap H^\infty $$1
The Monogenic Signal Associated with Linear Canonical Transform and Its Application to Edge Detection Problem1
Dilations and Operator Models of $${\mathcal {W}}$$-Hypercontractions1
On the Similarity of Boundary Triples of Symmetric Operators in Krein Spaces1
Multilinear Fractional Hausdorff Type Operators With Rough Kernel on Morrey-Herz Spaces1
Quaternionic Convolutional Neural Networks with Trainable Bessel Activation Functions1
Higgs Algebras in Classical Harmonic Analysis1
S-Nodes, Factorisation of Spectral Matrix Functions and Corresponding Inequalities1
Orthogonal Polynomials on Bubble-Diamond Fractals1
On the Relation Between S-Spectrum and Right Spectrum1
Orthogonal Harmonic and Quaternionic Monogenic Functions in the Exterior of a Spheroid1
Continuous Dependence of Szegő Kernel on a Weight of Integration1
p-Summable Commutators in Bergman Spaces on Egg Domains1
Cameron-Storvick Type Theorems for Conditional Modified Generalized Analytic Function Space Feynman Integrals1
Rough Singular Integral Operators, Spherical Maximal Functions and Maximal Bochner-Riesz Operators on Grand Morrey Spaces1
On the Resolvent Matrix of the Truncated Hausdorff Matrix Moment Problem1
Coarse Structure of Metrizable Hypergroups1
The Sharp Bounds of the Third Hankel Determinant for Starlike Mappings and Starlike Mappings of Order 1/2 in Complex Banach Spaces1
Holomorphic Functions on the Lie Ball and Their Monogenic Counterparts1
Linear Dynamics of Multiplication and Composition Operators on $$\textrm{Hol}(\mathbb {D})$$1
On the Spectral Gap of a Discrete Schrödinger Operator on the Path Graph in the Limit of Large Volume1
Sharp Pointwise Estimate of $$\alpha $$-Harmonic Functions1
Conditional Type Operators in $$L^{2}(\Sigma )$$-Semi-Hilbertian Space1
A Note on Approximate Controllability Results for History-Dependent Fractional Stochastic Hemivariational Inequalities1
Fourier Orthonormal Bases of Two Dimensional Moran Measures with Four-Element Digits1
Clark Measures on Polydiscs Associated to Product Functions and Multiplicative Embeddings1
Automorphic Carathéodory–Julia Theorem1
A Failing Parseval Type Equation Associated with an Indefinite Sturm-Liouville Problem1
Falling Operators with Their Connections with the Degenerate Poisson Appell Polynomials1
An Operational Calculus of $$\mu $$th Order Mehler–Fock Transform1
Rebricking Wavelets1
Uncertainty Principles and Differential Operators on the Weighted Bergman Space1
Relatively Bounded Perturbations of J-Non-Negative Operators1
Wirtinger Operators for Functions of Several Quaternionic Variables1
Sharp lower bounds for area distortion via growth control of angular dilatations1
Szegö’s Theorem on Hardy Spaces Induced by Rotation-Invariant Borel Measures1
$$\varepsilon $$-Numerical Range of Operator Polynomial1
On Babalola-Type Bi-Starlike Functions Based on Erdély–Kober Fractional-Order Derivative Subordinate to Second Einstein Function1
Integral Representation Formulas in Banach Algebra Settings1
The Kernels of Hankel Operators on the Full Fock Space1
The Analysis of Functions in Some Algebras of Order 3 with Unit1
Bergman Kernels of Two Dimensional Monomial Polyhedra1
Toeplitz Operators Associated with the Hypergeometric Gabor Transform and Applications1
Boundary Distance Functions of Unramified Riemann Domains over $$\mathbb {C}^n$$1
Bochner–Hecke Theorems in the Generalized Weinstein Theory Setting1
On the Some Spectral Domains in the Spectrum Preserves1
BMO and Hankel Operators on Bergman Space of the Siegel Upper Half-Space1
On Ideal Amenability of $$\ell ^1$$-Munn Banach Algebras1
Riesz–Kolmogorov Type Compactness Criteria in Function Spaces with Applications1
Isometric Dilations of Commuting Contractions and Brehmer Positivity1
Uniform Algebras and Distinguished Varieties1
Automatic Boundedness of Adjointable Operators on Barreled VH-Spaces1
Stability and T-Controllability for a Coupled Fractional Stochastic Integro Systems with Integral Boundary Conditions1
The Borel-Pompeiu Formula of Weighted k-Holomorphic Functions and its Related Properties1
New Study on Impulsive Fractional Neutral-type Stochastic System with Nonlocal Conditions: Existence and Approximate Controllability1
The two-sided Bargmann Space1
Dirichlet Boundary Value Problems for Monogenic Functions of Prescribed Hölder Continuously Differentiable Data on Distinguishing Boundaries in Clifford Analysis1
Applications of Endomorphisms on Clifford Algebras to $$(\alpha ,\beta )$$-Monogenic Functions and Isotonic Functions1
Quadratic Fock Space Calculus (II): Positivity of the Preservation Operator and Linear Independence of the Quadratic Exponential Vectors1
Cauchy Formulae and Hardy Spaces in Discrete Octonionic Analysis1
On the Convergence of Bernstein-Kantorovich-Stancu Shifted Knots Operators involving Schur Parameter1
Some Approximation Properties of Parametric Baskakov–Schurer–Szász Operators Through a Power Series Summability Method1
Biquaternion Linear Canonical Wavelet Transform: Theory and Applications1
Unbounded Commutants and Bicommutants of $$T^\dagger $$-Algebras1
Endpoint Behavior of the Bergman Projection on a Class of n-dimensional Hartogs Triangles1
Five Hilbert Space Problems in Operator Algebras1
Solvability and Attractive Stability Analysis for Riemann-Liouville Nabla-Type Nonlinear Fractional Difference Equations1
Norm Estimates for Selfadjoint Toeplitz Operators on the Fock Space1
On a Slice Hyper-Meromorphic Bergman Space1
On Orthogonal Polynomials Related to Arithmetic and Harmonic Sequences1
Wiener-Hopf Indices of Unitary-Valued Functions on the Imaginary Axis1
Some Generalizations of the Hawaii Conjecture and Beyond1
Time optimal control results for Hilfer fractional neutral stochastic differential equations1
Factorization of Equilibrium Equation in Toupin–Mindlin Strain-Gradient Elasticity in Quaternion Analysis1
Trajectory Controllability of Hilfer Fractional Stochastic Pantograph Equations with Random Impulses1
On the Single Layer Boundary Integral Operator for the Dirac Equation1
Geometric Invariants for a Class of Submodules of Analytic Hilbert Modules Via the Sheaf Model1
Infinite Order Differential Operators Associated with Superoscillations in the Half-Plane Barrier1
The Parametrix Construction of the Heat Kernel on a Graph1
A Remark on Hyponormality of Block Toeplitz Operators on the Weighted Bergman Spaces1
Free Probability on the Limit $$C^{*}$$-Algebra Induced by a Chain of Graphs1
Weyl Sets in a Truncated Matricial Stieltjes Moment Problem1
Fractional Multicomplex Polynomials1
On Decomposition for Pairs of Twisted Contractions1
Script Geometry: Categorical Perspective and a Connection to Exterior Calculus FEM1
Partial Approximate Controllability of Hilfer Fractional Stochastic Differential System with Nonlocal Conditions1
2-Complex Symmetric Weighted Composition Operators on the Weighted Bergman Spaces of the Half-Plane1
Generalized Conjugate Extension Solutions for Quaternionic Matrix Equations AX*B + CXD = E1
Generalized Weighted Composition Operators on Vector-Valued Weighted Bergman Space1
On the Differentiation of Integrals in Measure Spaces Along Filters: II1
Composition Operators on Function Spaces on the Halfplane: Spectra and Semigroups1
Extension of Some Bernstein-Type Inequalities to the Polar Derivative of a Polynomial1
Some New Applications of Berezin Symbols1
Stratified Hilbert Modules on Bounded Symmetric Domains1
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