Journal article
Fractional wave packet systems in L2(R)
Journal of Mathematical Physics, Vol.59(7), p.073509
07/2018
DOI: 10.1063/1.5047649
Abstract
Wave packet systems have been used as a potential tool for solving dynamic systems and have recently been studied using various Fourier-type transforms. In this article, we introduce wave packet systems of fractional order in L2(R) and investigate their orthogonal properties by means of two basic equations in the frequency domain. We also provide a sufficient condition for such a system to be orthonormal in L2(R). Finally, we establish the necessary and sufficient conditions for fractional wave packet frames in L2(R), which include the corresponding results of wave packet, wavelet analysis, and Gabor theory as the special cases.
Details
- Title: Subtitle
- Fractional wave packet systems in L2(R)
- Creators
- Firdous A Shah - Department of Mathematics, University of KashmirO Ahmad - Department of Mathematics, National Institute of TechnologyP. E Jorgensen - Department of Mathematics, University of Iowa
- Resource Type
- Journal article
- Publication Details
- Journal of Mathematical Physics, Vol.59(7), p.073509
- DOI
- 10.1063/1.5047649
- ISSN
- 0022-2488
- eISSN
- 1089-7658
- Number of pages
- 20
- Grant note
- EMR/2016/007951 / SERB DST
- Date published
- 07/2018
- Academic Unit
- Mathematics
- Record Identifier
- 9983985959102771
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