EN
MATRIX TRANSFORM OF IRREGULAR WEYL-HEISENBERG WAVE PACKET FRAMES FOR L2 R
Abstract
Cordoba and Fe erman [4] introduced wave packet systems by applying certain collections of dilations, modulations and translations to the Gaussian function in the study of some classes of singular integral operators. In this paper, we introduce the concept of matrix transform M = p;q;r;j;k;m and with the help of matrix transform we study the action of M on f 2 L2 R and on its wave packet coecients. Further, we also obtain the tight frame condition for matrix transform of f 2 L2 R whose wave packet series expansion is known.
Keywords
References
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- Christensen,O., (2008), Frames and Bases, An Introductory Course, Birkh¨auser, Boston.
- Cordoba,A. and Fefferman,C., (1978), Wave packets and Fourier integral operators, Comm. Partial Differential Equations, 3, 11, pp.979-1005.
- Czaja,W., Kutyniok,G., and Speegle,D., (2006), The Geometry of sets of prameters of wave packets, Appl. Comput. Harmon. Anal., 20, pp.108-125.
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Details
Primary Language
English
Subjects
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Journal Section
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Publication Date
December 1, 2017
Submission Date
-
Acceptance Date
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Published in Issue
Year 2017 Volume: 7 Number: 2
APA
R.kumar, -, & Sah, A. K. (2017). MATRIX TRANSFORM OF IRREGULAR WEYL-HEISENBERG WAVE PACKET FRAMES FOR L2 R. TWMS Journal of Applied and Engineering Mathematics, 7(2), 200-208. https://izlik.org/JA97NS39CL
AMA
1.R.kumar, Sah AK. MATRIX TRANSFORM OF IRREGULAR WEYL-HEISENBERG WAVE PACKET FRAMES FOR L2 R. JAEM. 2017;7(2):200-208. https://izlik.org/JA97NS39CL
Chicago
R.kumar, -, and Ashok K. Sah. 2017. “MATRIX TRANSFORM OF IRREGULAR WEYL-HEISENBERG WAVE PACKET FRAMES FOR L2 R”. TWMS Journal of Applied and Engineering Mathematics 7 (2): 200-208. https://izlik.org/JA97NS39CL.
EndNote
R.kumar -, Sah AK (December 1, 2017) MATRIX TRANSFORM OF IRREGULAR WEYL-HEISENBERG WAVE PACKET FRAMES FOR L2 R. TWMS Journal of Applied and Engineering Mathematics 7 2 200–208.
IEEE
[1]- R.kumar and A. K. Sah, “MATRIX TRANSFORM OF IRREGULAR WEYL-HEISENBERG WAVE PACKET FRAMES FOR L2 R”, JAEM, vol. 7, no. 2, pp. 200–208, Dec. 2017, [Online]. Available: https://izlik.org/JA97NS39CL
ISNAD
R.kumar, - - Sah, Ashok K. “MATRIX TRANSFORM OF IRREGULAR WEYL-HEISENBERG WAVE PACKET FRAMES FOR L2 R”. TWMS Journal of Applied and Engineering Mathematics 7/2 (December 1, 2017): 200-208. https://izlik.org/JA97NS39CL.
JAMA
1.R.kumar -, Sah AK. MATRIX TRANSFORM OF IRREGULAR WEYL-HEISENBERG WAVE PACKET FRAMES FOR L2 R. JAEM. 2017;7:200–208.
MLA
R.kumar, -, and Ashok K. Sah. “MATRIX TRANSFORM OF IRREGULAR WEYL-HEISENBERG WAVE PACKET FRAMES FOR L2 R”. TWMS Journal of Applied and Engineering Mathematics, vol. 7, no. 2, Dec. 2017, pp. 200-8, https://izlik.org/JA97NS39CL.
Vancouver
1.- R.kumar, Ashok K. Sah. MATRIX TRANSFORM OF IRREGULAR WEYL-HEISENBERG WAVE PACKET FRAMES FOR L2 R. JAEM [Internet]. 2017 Dec. 1;7(2):200-8. Available from: https://izlik.org/JA97NS39CL