Electronic Resource
Springer
Advances in computational mathematics
1 (1993), S. 1-37
ISSN:
1572-9044
Keywords:
Refinement equations
;
up-function
;
entire functions of exponential type
;
subdivision algorithms
;
cube spline
;
(AMS) 34K99
;
41A15
;
41A25
;
41A63
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract This paper is concerned with the study of a general class of functional equations covering as special cases the relation which defines theup-function as well as equations which arise in multiresolution analysis for wavelet construction. We discuss various basic properties of solutions to these functional equations such as regularity, polynomial containment within the space spanned by their integer shifts and their computability by subdivision algorithms.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02070819
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