Almost periodic generalized functions
Chikh Bouzar, Mohammed Taha Khalladi
TL;DR
This paper introduces an algebra of almost periodic generalized functions that encompasses classical Bohr almost periodic functions and almost periodic Schwartz distributions, expanding the framework for analyzing almost periodic phenomena.
Contribution
It develops a new algebraic structure for almost periodic generalized functions, integrating classical and distributional approaches.
Findings
Established an algebraic framework for almost periodic generalized functions.
Unified classical Bohr almost periodic functions with Schwartz distributions.
Provided foundational properties and potential applications of the new algebra.
Abstract
The aim of this paper is to introduce and to study an algebra of almost periodic generalized functions containing the classical Bohr almost periodic functions as well as almost periodic Schwartz distributions
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Taxonomy
TopicsMathematical and Theoretical Analysis · Mathematical Analysis and Transform Methods · Computability, Logic, AI Algorithms