The Structure of Functions

Description

This book deals with the constructive Weierstrassian approach to the theory of function spaces and various applications. The first chapter is devoted to a detailed study of quarkonial (subatomic) decompositions of functions and distributions on euclidean spaces, domains, manifolds and fractals. This approach combines the advantages of atomic and wavelet representations. It paves the way to sharp inequalities and embeddings in function spaces, spectral theory of fractal elliptic operators, and a regularity theory of some semi-linear equations. The book is self-contained, although some parts may be considered as a continuation of the author's book "Fractals and Spectra" (MMA 91). It is directed to mathematicians and (theoretical) physicists interested in the topics indicated and, in particular, how they are interrelated.

Subjects

Other Editions

• The Structure of FunctionsHardcoverBirkhäuser Basel2001-09-06
• Structure of FunctionsBirkhauser Verlag2012-01-01
• Structure of FunctionsSpringer2012-01-01
• The Structure of FunctionspaperbackBirkhäuser2012-11-01
• The Structure of FunctionsPaperbackBirkhäuser2012-12-14
• The Structure of FunctionsPaperbackSpringer2012-12-14