9 papers · 1 filter
Arens Products and Asymptotic Structures on Chébli-Trimèche Hypergroups under Low Regularity Conditions
Saeed Hashemi Sababe
We investigate the Arens products on the second duals of convolution algebras associated with Chébli--Trimèche hypergroups, particularly focusing on the left and right topological…
On Kernels and Covariance Structures in Hilbert Space Gaussian Processes
Saeed Hashemi Sababe
Motivated by practical applications, I present a novel and comprehensive framework for operator-valued positive definite kernels. This framework is applied to both operator theory…
Stochastic Krasnosel skii-Mann Iterations in Banach Spaces with Bregman Distances
Saeed Hashemi Sababe, Ehsan Lotfali Ghasab
We propose a generalization of the stochastic Krasnoselskil-Mann algorithm to reflexive Banach spaces endowed with Bregman distances. Under standard martingale-difference n…
-Theory and Noncommutative Geometry in Quantum Harmonic Analysis
Saeed Hashemi Sababe, Ismail Nikoufar
Quantum harmonic analysis extends classical harmonic analysis by integrating quantum mechanical observables, replacing functions with operators and classical convolution structures…
Generalized Bregman Projection Algorithms for Solving Nonlinear Split Feasibility Problems in Infinite-Dimensional Spaces
Saeed Hashemi Sababe, Ehsan Lotfali Ghasab
This paper introduces generalized Bregman projection algorithms for solving nonlinear split feasibility problems (SF P s) in infinitedimensional Hilbert spaces. The methods integra…
Iterative Splitting Methods for Stochastic Dynamic SVIs
Saeed Hashemi Sababe, Ehsan Lotfali Ghasab
This paper extends split variational inclusion problems to dynamic, stochastic, and multi-agent systems in Banach spaces. We propose novel iterative algorithms to handle stochastic…
Quantitative cyclicity, stability, and geometric analysis in weighted Besov spaces
Saeed Hashemi Sababe, Amir Baghban
We introduce new quantitative measures for cyclicity in radially weighted Besov spaces, including the Drury-Arveson space, by defining cyclicity indices based on potential theory a…
Brezis-Van Schaftingen-Yung Inequalities Beyond the Classical Setting
Saeed Hashemi Sababe
In this paper, we extend the framework of Brezis--Van Schaftingen--Yung type inequalities in metric measure spaces by exploring several novel directions. First, we establish finite…
Extremizers and Stability for Fractional Uncertainty Principles
S. Hashemi Sababe, Amir Baghban
We extend the classical Heisenberg uncertainty principle to a fractional setting by investigating a novel class of uncertainty inequalities derived from the fractional Schröd…