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Real Paley‐Wiener theorem for the octonion Fourier transform.
- Source :
-
Mathematical Methods in the Applied Sciences . Jul2024, Vol. 47 Issue 10, p7902-7917. 16p. - Publication Year :
- 2024
-
Abstract
- For the octonion Fourier transform, we establish the real Paley‐Wiener theorem. It relates the mean of derivatives of a function with the support of its octonion Fourier transform via limm→∞‖∂mαf‖L2(ℝ3,핆)1/m=(2π)α‖wα‖L∞(suppF핆{f},핆)for any octonion‐valued Sobolev function f∈H∞(ℝ3,핆). [ABSTRACT FROM AUTHOR]
- Subjects :
- *FOURIER transforms
*CAYLEY numbers (Algebra)
*DERIVATIVES (Mathematics)
Subjects
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 47
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 177678504
- Full Text :
- https://doi.org/10.1002/mma.7513