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Real Paley–Wiener theorem for the quaternion Fourier transform
- Source :
- Complex Variables and Elliptic Equations. 62:1072-1080
- Publication Year :
- 2017
- Publisher :
- Informa UK Limited, 2017.
-
Abstract
- In this paper we establish the real Paley–Wiener theorems for the quaternion Fourier transform on for quaternion-valued Schwartz functions and -functions, which generalizes the recent results of real Paley–Wiener theorems for scalar- and quaternion-valued -functions.
- Subjects :
- Mathematics::Functional Analysis
Numerical Analysis
Paley–Wiener theorem
Applied Mathematics
010102 general mathematics
Fourier inversion theorem
Scalar (mathematics)
Mathematics::Classical Analysis and ODEs
Quaternion fourier transform
010103 numerical & computational mathematics
01 natural sciences
Algebra
Computational Mathematics
symbols.namesake
Fourier transform
symbols
Paley–Wiener integral
Mathematics::Differential Geometry
0101 mathematics
Analysis
Mathematics
Subjects
Details
- ISSN :
- 17476941 and 17476933
- Volume :
- 62
- Database :
- OpenAIRE
- Journal :
- Complex Variables and Elliptic Equations
- Accession number :
- edsair.doi...........22007a49c39e56a47b404fba8e288de2