Bochner-Minlos theorem in the frame of real clifford algebras

In this paper, we study the asymptotic behavor of the real Clifford Fourier transform. We introduce the Clifford Fourier transform for measure. Moreover, we give some of its properties. Analogue of Bochner Minlos theorem is established in real Clifford algebra.

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Bibliographic Details
Published in:Rendiconti del Circolo matematico di Palermo 2021-04, Vol.70 (1), p.137-149
Main Authors: Georgiev, Svetlin G., Jday, Rim
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Fourier transforms
Geometry
Mathematics
Mathematics and Statistics
Theorems
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Description
Summary:In this paper, we study the asymptotic behavor of the real Clifford Fourier transform. We introduce the Clifford Fourier transform for measure. Moreover, we give some of its properties. Analogue of Bochner Minlos theorem is established in real Clifford algebra.
ISSN:0009-725X
1973-4409
DOI:10.1007/s12215-020-00487-5