All Research Papers Published In Complex Analysis and Operator Theory

Research Article
10.1007/s11785-025-01863-8

Operator Splitting Based Dynamic Iteration for Linear Infinite-Dimensional Port-Hamiltonian Systems

Nov 18, 2025
Complex Analysis and Operator Theory
Bálint Farkas + 3 more +3

Abstract A dynamic iteration scheme for linear infinite-dimensional port-Hamiltonian systems is proposed. The error of the dynamic iteration is convergent to 0 and subject to a effective decreasing bound. No stability condition is required and the method is in particular applicable to port-Hamiltonian formulations arising from domain decompositions.

Research Article
10.1007/s11785-025-01860-x

Multipliers of Operator Algebras: A Characterization via Antiderivable Mappings at Zero

Nov 01, 2025
Complex Analysis and Operator Theory
Wenbo Huang + 1 more +1

Research Article
10.1007/s11785-025-01848-7

On Babalola-Type Bi-Starlike Functions Based on Erdély–Kober Fractional-Order Derivative Subordinate to Second Einstein Function

Oct 28, 2025
Complex Analysis and Operator Theory
G Murugusundaramoorthy + 2 more +2

Research Article
6
10.1007/s11785-025-01829-w

Hybrid-Triggered Control for Uncertain Networked Control System with Time-Varying Delay and DoS Attacks via Two-Sided Looped Functional

Oct 01, 2025
Complex Analysis and Operator Theory
T Narenshakthi + 1 more +1

Research Article
1
10.1007/s11785-025-01828-x

A Study on Existence and Uniqueness for a Class of $${\psi }$$-Fractional Equations with Integro-Differential Terms and Functional Boundary Conditions

Oct 01, 2025
Complex Analysis and Operator Theory
Ayed R A Alanzi + 4 more +4

Research Article
10.1007/s11785-025-01826-z

Bergman Kernels for Monogenic and Contragenic Functions in the Interior and Exterior of a Sphere

Sep 30, 2025
Complex Analysis and Operator Theory
R García-Ancona + 2 more +2

Abstract Contragenic functions are defined to be reduced-quaternion-valued harmonic functions which are orthogonal to all monogenic and antimonogenic functions in the $$L^2$$ L 2 norm of a given domain. The parallelism between the spaces of contragenic functions in the interior and exterior of the unit sphere in $$\mathbb {R}^3$$ R 3 is described in detail. Bergman reproducing kernels for the spaces of contragenic functions are given, mirroring the corresponding kernels for the spaces of vector parts of monogenic functions. Numerical examples are given showing the accuracy of truncations of the integral kernels. A striking duality is observed between the basic interior contragenic functions and the vector parts of exterior monogenic functions, and vice versa.

Research Article
10.1007/s11785-025-01825-0

Boundedness of a Kind of Extended Forelli-Rudin Type Operator from $$\textbf{L}^{p}(B_{n}, dv_{\alpha })$$ to $$\textbf{L}^{q}(B_{n}, dv_{\beta })$$

Sep 25, 2025
Complex Analysis and Operator Theory
Yuting Guo + 3 more +3

Research Article
10.1007/s11785-025-01814-3

Solvability and Attractive Stability Analysis for Riemann-Liouville Nabla-Type Nonlinear Fractional Difference Equations

Sep 18, 2025
Complex Analysis and Operator Theory
Anshul Sharma + 2 more +2

Research Article
10.1007/s11785-025-01802-7

Operator theory, kernels, and feedforward neural networks

Sep 11, 2025
Complex Analysis and Operator Theory
Palle E T Jorgensen + 2 more +2

Research Article
1
10.1007/s11785-025-01791-7

The Multidimensional Quadratic Phase Fourier Transform: Theoretical Analysis and Applications

Sep 01, 2025
Complex Analysis and Operator Theory
Manab Kundu + 2 more +2