Cita:
Proceedings of the American Mathematical Society, June 2015, 143, pp. 2479-2494
ISSN:
0002-9939 (print) 1088-6826 (online)
DOI:
10.1090/S0002-9939-2015-12493-8
Agradecimientos:
The first author was supported in part by a Simons Foundation Grant.
The second author was supported by grant MTM2012-36732-C03-01 from the Dirección General de Investigación Científica y Técnica, Ministerio de Economía y Competitividad of Spain.
The multiresolution analysis of Alpert is considered. Explicit formulas for the entries in the matrix coefficients of the refinement equation are given in terms of hypergeometric functions. These entries are shown to solve generalized eigenvalue equations as wThe multiresolution analysis of Alpert is considered. Explicit formulas for the entries in the matrix coefficients of the refinement equation are given in terms of hypergeometric functions. These entries are shown to solve generalized eigenvalue equations as well as partial difference equations. The matrix coefficients in the wavelet equation are also considered and conditions are given to obtain a unique solution.[+][-]