Exact　Solutions　of　Variation　Problem　on　Shiftability　of　Principal　Shift　Invariant　Spaces

作     者：Wang Qiao Department of Mathematics, Wuhan University, Wuhan 430072,China Information Science Center, Beijing University,Beijing 100871, China 

作者机构：Wuhan University Department of Mathematics Wuhan China (GRID:grid.49470.3e) (ISNI:***) Beijing University Information Science Center Beijing China (GRID:grid.11135.37) (ISNI:***) 

出 版 物：《Wuhan University Journal of Natural Sciences》 (武汉大学学报（自然科学英文版）)

年 卷 期：1997年第2卷第1期

页      面：11-14页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：principal shift invariant space shiftability congruence of spectrum 

摘      要：A complete answer to the shiftability of a principal shift invariant spaces and a scaled version is given. The congruence of spectrum plays a kernel role. It characterizes essentially the shiftability and the scale of any principal shift variant spaces. Some examples relative to signal analysis are discussed associated with an explanation to the failure of generalizing Shannon s sampling theorem from band limitted to band pass case.