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 ...
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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].
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Good in Good jacket. Birkhauser, 1998. First edition, first printing with full number line; dustjacket faintly rubbed/bumped/soiled, corners/edges/spine ends very lightly rubbed/bumped, one small tear at the bottom corner of the front flap; cover faintly rubbed/bumped, very faintly soiled, corners/edges/spine ends very lightly rubbed; edges faintly rubbed/bumped/sunned, marking in ink at the top edge; interior very faintly age-toned throughout, sticker at the center of the front pastedown; binding tight; dustjacket, cover, edges and interior intact and clean, except where noted; due to the size/weight of this item, additional shipping charges may apply for International or Expedited orders. First Edition. hardcover. Good/Good.
