A SAMPLING THEOREM IN VILENKIN–CHRESTENSON BASIS

V.N. Malozemov; K.Yu. Tsvetkov

Title	A SAMPLING THEOREM IN VILENKIN–CHRESTENSON BASIS
Publication Type	Journal Article
Year of Publication	2006
Authors	Malozemov, VN, Tsvetkov, KY
Volume	10
Issue	2
Start Page	201
Pagination	8
Date Published	2006
ISSN	1083-2564
AMS	42C10
Abstract	The following assertion is proved: if the high-frequency coefficients in the expansion of a discrete signal ${x}$ over Vilenkin–Chrestenson basis are equal to zero then the signal ${x}$ is a step-function.
URL	http://www.acadsol.eu/en/articles/10/2/8.pdf
Refereed Designation	Refereed
Full Text	REFERENCES [1] A.M. Trakhtman and V.A. Trakhtman, Fundamentals of the Theory of Discrete Signals on Finite Intervals, Sov. Radio, Moscow, 1975. [2] V.N. Malozemov, S.M. Masharsky, Generalized wavelet bases related with discrete Vilenkin–Chrestenson transform, St. Petersburg Math. J., 13 (2002), no. 1, 75-106. [3] V.N. Malozemov, S.M. Masharsky, Foundations of Discrete Harmonic Analysis, NIIMM, St. Petersburg, 2003.