Fractals and Spectra: Related to Fourier Analysis and Function Spaces - Couverture souple

Triebel, Hans

Couverture souple

ISBN 10 : 3034800339 ISBN 13 : 9783034800334

Editeur : Birkhäuser, 2010

Synopsis

n This book deals with several aspects of fractal geometry in ? which are closely connected with Fourier analysis, function spaces, and appropriate (pseudo)differ- tial operators. It emerged quite recently that some modern techniques in the theory of function spaces are intimately related to methods in fractal geometry. Special attention is paid to spectral properties of fractal (pseudo)differential operators; in particular we shall play the drum with a fractal layer. In some sense this book may be considered as the fractal twin of [ET96], where we developed adequate methods to handle spectral problems of degenerate n pseudodifferential operators in ? and in bounded domains. Besides a few special properties of function spaces we relied there on sharp estimates of entropy numbers of compact embeddings between these spaces and their relations to the distribution of eigenvalues. Some of the main assertions of the present book are based on just these techniques but now in a fractal setting. Since virtually nothing of these new methods is available in literature, a substantial part of what we have to say deals with recent developments in the theory of function spaces, also for their own sake. In this respect the book might also be considered as a continuation of [Tri83] and [Tri92].

A propos du livre

À propos de l'auteur

Hans Triebel ist Professor der Mathematik an der Friedrich-Schiller-Universität Jena.

Détails de l'édition

• Éditeur: Birkhäuser
• Date d'édition: 2010
• Langue: anglais
• ISBN 10: 3034800339
• ISBN 13: 9783034800334
• Reliure: Broché
• Nombre de pages: 280
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible