Bochner-Minlos theorem in the frame of real Clifford algebras

DOI10.1007/s12215-020-00487-5zbMath1462.30097OpenAlexW3010832170MaRDI QIDQ2024397

Svetlin G. Georgiev, Rim Jday

Publication date: 4 May 2021

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-020-00487-5

zbMATH Keywords

asymptotic behaviormeasurereal Clifford Fourier transform

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Positive definite functions in one variable harmonic analysis (42A82)

Cites Work

• Geometric roots of \(-1\) in Clifford algebras \(C \ell_{p,q}\) with \(p + q \leq 4\)
• Clifford Fourier transform on multivector fields and uncertainty principles for dimensions \(n=2\pmod 4\) and \(n=3\pmod 4\)
• Quaternion Fourier transform on quaternion fields and generalizations
• Bochner–Minlos Theorem and Quaternion Fourier Transform
• A General Geometric Fourier Transform
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