학술논문

Wave packet frames on local fields of positive characteristic.
Document Type
Article
Source
Applied Mathematics & Computation. Dec2014, Vol. 249, p133-141. 9p.
Subject
*LOCAL fields (Algebra)
*WAVE packets
*FOURIER transforms
*ALGEBRAIC field theory
*ALGEBRAIC number theory
Language
ISSN
0096-3003
Abstract
The objective of this paper is to construct wave packet frames on local fields of positive characteristic. A necessary and sufficient condition for the wave packet system D p j T u ( n ) a E u ( m ) b ψ j ∈ Z , m , n ∈ N 0 to be a frame for L 2 ( K ) is given by means of the Fourier transform. [ABSTRACT FROM AUTHOR]