A refinable vector is a vector with components being compactly supported distributions that satisfies a refinement equation. We characterize, in terms of the symbol associated with the refinement equation, the linear independence and stability of integer translates of the refinable vector. Examples are provided to illustrate the general theory. (C) 1998 Academic Press.
机构:
Dept. of Math., National University of Singapore, 10 Kent Ridge Crescent, SingaporeDept. of Math., National University of Singapore, 10 Kent Ridge Crescent, Singapore
机构:
TEL AVIV UNIV,RAYMOND & BEVERLEY SACKLER FAC EXACT SCI,SCH MATH SCI,IL-69978 TEL AVIV,ISRAELTEL AVIV UNIV,RAYMOND & BEVERLEY SACKLER FAC EXACT SCI,SCH MATH SCI,IL-69978 TEL AVIV,ISRAEL