Fractals and Spectra: Related to Fourier Analysis and Function Spaces (Monographs in Mathematics) - Hans Triebel (1997)
ISBN 3764357762
Subject Fractals; Function spaces; Partial differential operators; Spectral theory (Mathematics)
Publisher Birkhäuser Basel
Publication Date 9/23/1997
Format Hardcover (231 x 157 mm)
Language e

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.

Personal Details
Collection Status In Collection
Index 2077
Read It Yes
Links Amazon US
Product Details
LoC Classification QA323.T744 1997 vol 91 copy
Dewey 515/.73
Cover Price $152.00
No. of Pages 271