Titchmarsh theorem associated with QFT
Hakim Monaim, Said Fahlaoui
TL;DR
This paper proves Titchmarsh theorems related to the Two-Sided Quaternionic Fourier Transform and explores the Short-Time variant, advancing mathematical understanding in quaternionic Fourier analysis.
Contribution
It introduces and proves Titchmarsh theorems for the Two-Sided Quaternionic Fourier Transform and discusses the Short-Time version, filling a gap in quaternionic Fourier analysis literature.
Findings
Proved Titchmarsh theorems for Two-Sided Quaternionic Fourier Transform
Established properties of Short-Time Two-Sided Quaternionic Fourier Transform
Enhanced mathematical framework for quaternionic Fourier analysis
Abstract
In this paper, we prove both of the Titchmarsh theorems associated with Two-Sided Quaternionic Fourier Transform and we conclude about Short-Time Two-Sided Quaternionic Fourier Transform.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Computability, Logic, AI Algorithms · Benford’s Law and Fraud Detection