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Heisenberg uncertainty principle for a fractional power of the Dunkl transform on the real line
- Source :
- Journal of Computational and Applied Mathematics. 294:151-176
- Publication Year :
- 2016
- Publisher :
- Elsevier BV, 2016.
-
Abstract
- The aim of this paper is to prove Heisenberg-Pauli-Weyl inequality for a fractional power of the Dunkl transform on the real line for which there is an index law and a Plancherel theorem.
- Subjects :
- Uncertainty principle
Applied Mathematics
010102 general mathematics
Mathematical analysis
Mathematics::Classical Analysis and ODEs
01 natural sciences
Fractional Fourier transform
Discrete Fourier transform
Fractional power
010101 applied mathematics
Plancherel theorem
Computational Mathematics
symbols.namesake
Fourier transform
symbols
0101 mathematics
Mathematics::Representation Theory
Real line
Mathematics
Dunkl operator
Subjects
Details
- ISSN :
- 03770427
- Volume :
- 294
- Database :
- OpenAIRE
- Journal :
- Journal of Computational and Applied Mathematics
- Accession number :
- edsair.doi...........9bbde6bd010f0fa054ea29094a2de5fb