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

Triebel, Hans

Couverture rigide

ISBN 10 : 3764357762 ISBN 13 : 9783764357764

Editeur : Birkhauser Verlag AG, 1997

Synopsis

This book deals with the symbiotic relationship between the theory of function spaces, fractal geometry, and spectral theory of (fractal) pseudodifferential operators as it has emerged quite recently. Atomic and quarkonial (subatomic) decompositions in scalar and vector valued function spaces on the euclidean n-space pave the way to study properties (compact embeddings, entropy numbers) of function spaces on and of fractals. On this basis, distributions of eigenvalues of fractal (pseudo)differential operators are investigated. Diverse versions of fractal drums are played. Most of the presented material is published here for the first time. The book is directed to mathematicians interested in functional analysis, the theory of function spaces, fractal geometry, partial and pseudodifferential operators, and, in particular, in how these domains are interrelated.

A propos du livre

À propos de l?auteur

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

Détails de l'édition

• Éditeur: Birkhauser Verlag AG
• Date d'édition: 1997
• Langue: anglais
• ISBN 10: 3764357762
• ISBN 13: 9783764357764
• Reliure: Relié
• Nombre de pages: 280
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible