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 2022-05-01 to 2026-05-01.)
ArticleCitations
Steven George Krantz (1951 -) Celebrates his 70th Birthday31
Fredholm Index of 3-Tuple of Restriction Operators and the Pair of Fringe Operators for Submodules in $$H^2({\mathbb {D}}^3)$$28
Factorizations of Characteristic Functions of Iterated Liftings17
Slice Spirallike Functions over Quaternions13
Optimal Feedback Control of $$\psi $$-Hilfer Fractional Differential System with Hemivariational Inequalities12
Numerical Radius and Norm Bounds via the Moore-Penrose Inverse12
A Class of Nonlinear Hilfer Fractional Differential Control System with Distributed Delay and Damping12
Boundary Method for Differential Subordinations of the Geometric Mean11
Cospectral Trees Indistinguishable by Scattering11
On Hardy-Like Spaces Induced by Tracial Unital Banach $$*$$-Probability Spaces11
Sharper Paley-Wiener Theorem for the Dunkl Transform on $$\mathbb {R}^d$$10
Quantitative Cohomological Properties of Banach Algebras10
Dirichlet Problem for Nonlinear Higher-Order Equations in Upper Half Plane10
Sums of Polyanalytic Dual Toeplitz Products10
On the Limit Mapping of a Sequence of Open, Discrete Mappings Satisfying an Inverse Poletsky Modular Inequality10
On Discrete Conjugate Harmonic Functions in Hypercomplex Analysis10
Gradient Estimates in the Whole Space for the Double Phase Problems by the Maximal Function Method9
Hadamard–Bergman Operators on Weighted Spaces9
Local Spectral Theory for Unbounded Product of Nonnegative Selfadjoint Operators8
Characterization of Dual Scalable Frames8
The Boundedness of Forelli–Rudin Type Operators on the Siegel Upper Half Space8
Operator Power means in the View of Fixed Points7
Some Operators on Minimal $$\alpha $$-Möbius Invariant Function Spaces7
A New Variant of Weighted Hermite-Hadamard Inequalities and Applications7
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
Multipliers on Spaces of Holomorphic Functions on Runge Domains in $$\mathbb {C}^n$$7
A Model Theory for a Subclass of $$\mathbb {A}_r$$-Contractions7
Blow-Up Theorems for p-Sub-Laplacian Heat Operators on Stratified Groups7
On the Toeplitz Algebra in the Case of All Entire Functions and All Functions Holomorphic in the Unit Disc7
Cauchy Integral Formula for Fuchsian Groups. II7
Riesz Projection and Essential S-spectrum in Quaternionic Setting7
Frame Wavelets of Local Fields with No Dual Wavelet Frames6
Existence of Solutions and Optimal Control for Semilinear PDE Systems with Nonlinear Interactions6
Singular Integral Operators with Rough Kernel on Function Spaces Over Local Fields6
A Note on the Invariant Subspace Problem6
Results on Approximate Controllability of $$\Psi $$-Hilfer Fractional Control Semilinear Systems via Gronwall’s Inequality6
Topologizability and Power Boundedness of Convolutions and Toeplitz Operators on Power Series Spaces6
On the Asymptotic Behavior of Retarded Boundary Control Systems with Dynamic Boundary Conditions: Semigroup Approach6
Stochastic Clairaut Equation on Algebra of Generalized Functions6
Some Refinements for Numerical Radius Inequalities6
Inequalities Involving Berezin Norm and Berezin Number6
On polynomials in a nonnegative linear relation5
A Generalization of Ando’s Dilation, and Isometric Dilations for a Class of Tuples of q-Commuting Contractions5
On My Joint Work with Harry Dym5
Left-Invertibility of Rank-One Perturbations5
Constructive of the Generalized Noise Process Based on Interacting Fock Spaces5
On an Interpolating Problem in a Generalized Hilbert Bargmann-Fock Space5
Poincaré Type Results on a k-Dimensional Torus5
On the c-Entropy of L-Systems with Schrödinger Operator5
Fundamental Solutions for the Laplace–Beltrami Operator Defined by the Conformal Hyperbolic Metric and Jacobi Polynomials5
m-Complex Symmetric Weighted Composition Operators on the Fock Space5
Complex Interpolation Between Two Mixed Norm Bergman Spaces in Tube Domains Over Homogeneous Cones5
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
A Numerical Radius Inequality for Hilbert–Schmidt Operators5
Generalized Volterra Integral Operators on Fock Spaces5
Stability Estimates in Determination of Non-orientable Surface from Its Dirichlet-to-Neumann Map4
Fractional Gamma Noise Functionals4
On Recovering Dirac Operators with Two Delays4
The Matricial Szegő Mapping from the Perspective of Schur Analysis4
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
Harmonic Analysis Associated with the Jacobi–Dunkl Operator on $$(-\pi ,\pi )$$: Exotic Cases4
Porosity and Supercyclic Operators on Banach Function Spaces4
A Direct Proof for the Existence of Best Approximation of Random Signals4
Laurent Expansion and $$L_{2}$$-Boundary Values in Hermitian Clifford Analysis4
Optimal feedback control for Sobolev-type nonlocal Hilfer fractional neutral differential system with history-dependent operators4
Exploring Cohomology, Deformations, and Hom-NS Structures in Hom-Leibniz Conformal Algebras Through Nijenhuis Operators4
Characterizations of Finite Order Solutions of Circular Type Partial Differential-Difference Equations in $$ \mathbb {C}^n $$4
The Joint Spectrum for a Commuting Pair of Isometries in Certain Cases4
Slodkowski’s Spectra Of Some New Generalized Spherical Aluthge Transform4
Approximation in the Mean on Rational Curves4
Time-Frequency Analysis Associated with the Generalized Linear Canonical Wavelet Transform and Applications4
A Note on $$C^*$$-Algebra of Toeplitz Operators with $$\mathcal {L}$$-Invariant Symbols4
Discrete Quaternion Quadratic Phase Fourier Transform4
On Frames of the Form $$\{T^k \varphi \}_{k=0}^\infty $$: Conditions and Characterizations4
Some New Characterizations of a Hermitian Matrix and Their Applications4
Deformations and q-Convolutions. Old and New Results4
Non-Self-Adjoint Block Convolution Operators of Scalar Type4
Matrix Mean Inequalities for Sector Matrices4
Vekua-Type Systems Related to Two-Sided Dual k-Hypermonogenic Functions4
Periodic Functions: Self-Intersection and Local Singular Points4
$${\mathfrak L}$$-Resolvent Matrices for Hamiltonian Integral Systems4
Equivalent Norms on Generalized Fock Spaces and the Extended Cesàro Operators3
Corona Theorem for the Classical Fock Space3
Characterization of (Weak) Phase Retrieval Dual Frames3
Biquaternion Windowed Linear Canonical Transform and Associated Uncertainty Inequalities3
Some Remarks on the Product Formula for Defect Numbers of Closed Operators3
Properties of the Fractional Pascal Appell Polynomials in Infinite Dimensional3
Minimal Invariant Subspaces for an Affine Composition Operator3
Geometric Interpolation in n-Tuples of Noncommutative $$L_p$$-Spaces3
Quantum Permutation Matrices3
On the Normality of the Sum of an Operator with its Drazin Inverse3
A Class of Norm Inequalities for Operator Monotone Functions and Hyponormal Operators3
Characterization of Forward, Vanishing, and Reverse Bergman Carleson Measures using Sparse Domination3
Gaussian $$JN _p$$ Spaces3
Generalized $$\Pi $$-Operator in the Theory of Slice Monogenic Functions and Applications3
The Threshold Effects for the Three-Particle Hamiltonians on Lattices3
Generalized Hausdorff-Zhu Operators on Möbius Invariant Spaces3
Some Inequalities for Adjointable Operators on Hilbert $$C^*$$-Modules3
Poisson’s Equation for Abel-Ergodic Theorems3
A Note on the Order Lozanovsky Spectrum for Positive Operators3
Stability Behavior of Nonlinear Fractional Discrete Systems with Riemann-Liouville Nabla Dynamics of Order (1,2)3
Compact Complex p-Kähler Hyperbolic Manifolds3
A Short Proof for the Twisted Multiplicativity Property of the Operator-Valued S-transform3
The Powers of Regular Linear Relations3
Gateaux Differentiability in the Banach Space of Meromorphic Functions3
Compression of kth order slant Hankel operators to model spaces3
Boas Type Results for Two-Sided Quaternion Fourier Transform and Uniform Lipschitz Spaces3
On The Monotony of Struve Functions3
The Bicomplex Dual Fractional Hankel Transform3
The Infinite Order Integro-Differential Operators Associated with Dunkl Operator on $$\mathbb {R}$$3
Multipliers on Spaces of Holomorphic Functions3
Existence of Mild Solutions and Approximate Controllability of Stochastic Mixed Voltera - Fredholm Type Nonlinear Third-order Dispersion Equation3
Fractional Neutral Pantograph Systems with Non-Singular Kernel: Analysis and Numerical Approximation3
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
Correction to: Canonical Decomposition of Operators Associated with the Symmetrized Polydisc3
Completing an Operator Matrix and the Free Joint Numerical Radius3
Approximation by Meromorphic k-Differentials on Compact Riemann Surfaces3
Weighted Pullback Transforms on Riemann Surfaces3
Unified Approach to Ulam Stability in Volterra Integro-Differential Equations via Time Scales3
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 Convolution Operator Associated with the (k, a)-Generalized Fourier Transform on the Real Line and Applications3
A Study on Existence and Uniqueness for a Class of $${\psi }$$-Fractional Equations with Integro-Differential Terms and Functional Boundary Conditions3
Quantum Stochastic Tricomi Equation3
Rearrangement Invariant Orthogonal Sums in Kreĭn Spaces. II3
A Note on Approximate Controllability Results for History-Dependent Fractional Stochastic Hemivariational Inequalities2
Orthogonal Polynomials on Bubble-Diamond Fractals2
Hardy Type Theorems for Linear Canonical Dunkl Transform2
On a Slice Hyper-Meromorphic Bergman Space2
Carleson Measures for Weighted Harmonic Mixed-Norm Spaces and Toeplitz Operators2
Hypercyclic Generalized Shift Operators2
On the Smallness of Zygmund-Type, Bloch-Type Spaces and a New Approach to Weighted Composition Operators2
On the Similarity of Boundary Triples of Symmetric Operators in Krein Spaces2
Topological Regularity for Solutions to the Generalised Hopf Equation2
Jacobson’s Lemma for Spectral Idempotents in Banach Algebras2
Rebricking Wavelets2
Closures of Holomorphic Tent Spaces in Weighted Bloch Spaces2
Realization of Inverse Stieltjes Functions $$(-m_\alpha (z))$$ by Schrödinger L-Systems2
Wirtinger Operators for Functions of Several Quaternionic Variables2
Basic Properties of Solutions of Boundary Value Problem for the Dirac-Wave Operator2
The Sharp Bound of the Third Hankel Determinant for Starlike Functions of Order 1/22
The Exact Number of Orthogonal Exponentials of a Class of Moran Measures on $$\mathbb {R}^{3}$$2
$${{\mathcal {R}}}$$-Bounded Operator Families Arising from a Compressible Fluid Model of Korteweg Type with Surface Tension in the Half-Space2
Heisenberg Uncertainty Principles for the Dunkl-Type Fock Space2
Weyl Sets in a Non-degenerate Truncated Matricial Hausdorff Moment Problem2
$$\varepsilon $$-Numerical Range of Operator Polynomial2
Holomorphic Extensions of Generalized Hadamard Product2
The Sharp Bounds of the Third Hankel Determinant for Starlike Mappings and Starlike Mappings of Order 1/2 in Complex Banach Spaces2
Stability and T-Controllability for a Coupled Fractional Stochastic Integro Systems with Integral Boundary Conditions2
Isometric Dilations of Commuting Contractions and Brehmer Positivity2
Rough Singular Integral Operators, Spherical Maximal Functions and Maximal Bochner-Riesz Operators on Grand Morrey Spaces2
Spectral Analysis of Perturbed Fredholm Operators2
Fractional Multicomplex Polynomials2
Completeness of Resonance States and Weyl Asymptotics of Resonances for Quantum Graphs2
The two-sided Bargmann Space2
A Peak Set with a Maximal Hausdorff Dimension on Each Slice2
A-Isometries and Hilbert-A-Modules Over Product Domains2
Five Hilbert Space Problems in Operator Algebras2
Extending Dirac and Faddeev-Jackiw Formalisms to Fractal First $$\alpha $$-Order Lagrangian Systems2
Demicompactness Results and Frobenuis Schur’s Decomposition for Block Operator Matrices in Right Quaternionic Hilbert Spaces2
Stratified Hilbert Modules on Bounded Symmetric Domains2
Existence and Uniqueness of Hilfer-Katugampola Fractional Differential Equations with Almost Sectorial Operators2
Uncertainty Principles with Discrete Quaternion Fourier Transforms2
New Results on Dynamical Systems with Impulsive Fractional Stochastic Integro-Differential Delay Conditions2
Hodge Decomposition for Generalized Vekua Spaces in Higher Dimensions2
Stepanov and Weyl Classes of c-Almost Periodic Type Functions2
Necessary Conditions of $$\Gamma _n$$-Isometry Dilation and the Dilation of a Certain Family of $$\Gamma _3$$-Contractions2
Linear Canonical Bargmann Transform2
Integral Representation Formulas in Banach Algebra Settings2
Modulus of Smoothness and Approximation Theorems in Clifford Analysis2
Geometric Invariants for a Class of Submodules of Analytic Hilbert Modules Via the Sheaf Model2
The Analysis of Functions in Some Algebras of Order 3 with Unit2
On the Spectral Gap of a Discrete Schrödinger Operator on the Path Graph in the Limit of Large Volume2
Boundary Distance Functions of Unramified Riemann Domains over $$\mathbb {C}^n$$2
Invariant Subspaces of Perturbed Backward Shift2
New Results on the Optimal Feedback Control for Second-Order Neutral Evolution Systems with Hemivariational Inequalities and Damping2
Weighted Composition Semigroups on Spaces of Continuous Functions and Their Subspaces2
Continuous Dependence of Szegő Kernel on a Weight of Integration2
Comment to: Dynamics of Weighted Composition Operators2
Factorization of Equilibrium Equation in Toupin–Mindlin Strain-Gradient Elasticity in Quaternion Analysis2
Correction to: Almansi-Type Decomposition for Slice Regular Functions of Several Quaternionic Variables2
Free Probability on Banach Algebras Induced by Scaled Hypercomplex Numbers2
Wiener-Hopf Indices of Unitary-Valued Functions on the Imaginary Axis2
The Number and Location of Eigenvalues for the Two-Particle Schrödinger Operators on Lattices2
Nevanlinna-Pick Interpolation in the Right Half-Plane2
Biquaternion Linear Canonical Wavelet Transform: Theory and Applications2
Finite-Time Stability and Attractiveness of Uncertain Nonlinear Nabla Fractional Systems Involving Hilfer-Type Operators2
Localization Operators and Scalogram in the Framework of Mehler–Fock Wavelet Transform2
Families of Symmetric Operators with Trivial Domains of Their Squares2
On the Structure of Real Operators2
Hilbert Transform, Nevanlinna Class and Toeplitz Kernels2
Free-Product Banach Algebras Induced by Scaled Hypercomplex Numbers2
Bergman Kernels for Monogenic and Contragenic Functions in the Interior and Exterior of a Sphere2
A Note of the Interpolating Sequences for $${\mathcal {Q}}_K\bigcap H^\infty $$2
A Remark on Hyponormality of Block Toeplitz Operators on the Weighted Bergman Spaces2
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