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ANALYSIS OF CLIFFORD-WAVELET TRANSFORM IN $Cl_{(3,1)}$

Year: 2024

Type: article

Abstract: Clifford-wavelet transform in $L^2$-spaces is defined in space-time algebra $Cl_{(3,1)}$ of Minkowski space with orthonormal vector basis. The properties of Clifford-wavelet transform are established. Plancherel's theorem and reproducing kernel is demonstrated. The inversion formula for Clifford-wavelet transform is established. The study is supported with examples and applications from Mathematical Physics.

Source: South East Asian J of Mathematics and Mathematical Sciences

DOI: 10.56827/seajmms.2024.2002.22

Authors: Shabnam Jahan Ansari, V. R. Lakshmi Gorty

Institutions: Narsee Monjee Institute of Management Studies, Shri Vile Parle Kelavani Mandal

Language: English

Topic: Algebraic and Geometric Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4406152014

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