An Introduction to Distribution Theory and Paley-Wiener Schwartz

In the following thesis, we explore the original formulation of the Paley-Wiener Theorem with square-integrable functions. We then develop an understanding of distribution theory to prove the Paley-Wiener Schwartz theorems on distributions.

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Publication Details

Journal
UNC Libraries
Published
2025-08-13
DOI
https://doi.org/10.17615/2zzr-j072
Primary Topic
Mathematical and Theoretical Analysis
Type
article
Field-Weighted Citation Impact
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article

An Introduction to Distribution Theory and Paley-Wiener Schwartz

UNC Libraries
Mathematical and Theoretical Analysis
article

An Introduction to Distribution Theory and Paley-Wiener Schwartz

article en

Abstract

In the following thesis, we explore the original formulation of the Paley-Wiener Theorem with square-integrable functions. We then develop an understanding of distribution theory to prove the Paley-Wiener Schwartz theorems on distributions.

UNC Libraries
University of North Carolina at Chapel Hill (US)
Reduced inequalities
Openalex Percentile: Top 49%
Mathematical and Theoretical Analysis
DOIOpen Access PDFOpenAlex
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An Introduction to Distribution Theory and Paley-Wiener Schwartz · UNC Libraries (2025) | TGRS Research Map | TGRS