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Using the refinement equation for the construction of pre-wavelets III: Elliptic splines |
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| Authors: | Charles A Micchelli Christophe Rabut Florencio I Utreras |
| Institution: | (1) IBM Research Division, T.J. Watson Research Center, Mathematical Sciences Department, 10598 Yorktown Heights, New York, U.S.A.;(2) INSA-Centre de Mathématiques, Complexe Scientifique de Rangueil, 31077 Toulouse Cedex, France;(3) Departamento de Ingeniería Matemática, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla 170/3 Correo 3, Santiago, Chile |
| Abstract: | The purpose of this paper is to provide multiresolution analysis, stationary subdivision and pre-wavelet decomposition onL 2(R d ) based on a general class of functions which includes polyharmonic B-splines.The work of this author has been partially supported by a DARPA grant.The work of this author has been partially supported by Fondo Nacional de Ciencia y Technologia under Grant 880/89. |
| Keywords: | AMS (NOS) 41A15 41A63 42B99 |
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