Gabor-like systems in L2(Rd) and extensions to wavelets

被引：0
|
作者：
Bagarello, F. [1 ]
机构：
[1] Univ Palermo, Fac Ingn, Dipartimento Metodi & Modelli Matemat, I-90128 Palermo, Italy
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2008年 / 41卷 / 33期
关键词：
D O I：
10.1088/1751-8113/41/33/335208
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper we show how to construct a certain class of orthonormal bases in L(2)(R(d)) starting from one or more Gabor orthonormal bases in L(2)(R). Each such basis can be obtained acting on a single function psi((x) under bar) is an element of L(2)(R(d)) with a set of unitary operators which operate as translation and modulation operators in suitable variables. The same procedure is also extended to frames and wavelets. Many examples are discussed.
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页数：15
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