کارگاه آنالیز ماتریسی و نظریه قابهاو موجکها , 2010-02-02

Title : ( shift invariant spaces and shift preserving operators on locally compact abelian groups )

Authors: Rajab Ali Kamyabi Gol ,

Citation: BibTeX | EndNote

We investigate shift invariant subspaces of L2(G), where G is a locally compact abelian group. We show that every shift invariant space can be decomposed as an orthogonal sum of spaces each of which is generated by a single function whose shifts form a Parseval frame. For a second countable locally compact abelian group G we prove a useful Hilbert space isomorphism, introduce range functions and give a characterization of shift invariant subspaces of L2(G) in terms of range functions. Finally, we investigate shift preserving operators on locally compact abelian groups. We show that there is a oneto- one correspondence between shift preserving operators and range operators on L2(G) where G is a locally compact abelian group.

Keywords

, locally compact abelian group, shift invariant space, frame, range function, shift preserving operator, range
برای دانلود از شناسه و رمز عبور پرتال پویا استفاده کنید.

@inproceedings{paperid:1013973,
author = {Kamyabi Gol, Rajab Ali},
title = {shift invariant spaces and shift preserving operators on locally compact abelian groups},
booktitle = {کارگاه آنالیز ماتریسی و نظریه قابهاو موجکها},
year = {2010},
location = {رفسنجان, IRAN},
keywords = {locally compact abelian group; shift invariant space; frame; range function; shift preserving operator; range operator.},
}

[Download]

%0 Conference Proceedings
%T shift invariant spaces and shift preserving operators on locally compact abelian groups
%A Kamyabi Gol, Rajab Ali
%J کارگاه آنالیز ماتریسی و نظریه قابهاو موجکها
%D 2010

[Download]