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Functional Analysis Valencia 2000
July 3-7, 2000
Technical University of Valencia (UPV) and University of Valencia (UV)
Valencia, Spain

Organizers
R.M. Aron (Kent State U., USA), K.D. Bierstedt (U. Paderborn, Germany), J. Bonet (UPV), J. Cerdà (U. Barcelona, Spain), H. Jarchow (U. Zürich, Switzerland), M. Maestre (UV), J. Schmets (U. Liège, Belgium)

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Riesz bases of spline wavelets in periodic Sobolev spaces
by
Francoise Bastin
University of Liege
Coauthors: Boigelot (University of LIEGE, BELGIUM), Laubin (University of LIEGE, BELGIUM)

Riesz bases of wavelets provide rapid algorithms and good stability for numerical resolutions of partial differential equations and integral equations. The properties of spline functions lead to collocation methods which are rather easy to manipulate. The usual functional spaces used in boundary integral equations on closed curves are periodic Sobolev spaces. These are our motivations for presenting some constructions of Riesz bases of spline wavelets in periodic Sobolev spaces Hs1per(R).

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Date received: March 5, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caei-26.