Multidimensional Fourier transform for Integrable Boehmians

Abstract

This paper presents a comprehensive study on the multidimensional Fourier transform applied to Integrable Boehmians, extending the classical one-dimensional Fourier transform to higher dimensions. We introduce a general construction of Boehmians, providing a robust framework for analyzing complex mathematical structures. Key theorems and lemmas are developed, elucidating the fundamental properties and behavior of multidimensional Fourier transforms within this framework.