fractals and spectra related to fourier analysis and function spaces modern birkhauser classics

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Fractals And Spectra

Author : Hans Triebel
ISBN : 9783034800341
Genre : Mathematics
File Size : 81. 55 MB
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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. Most of the presented material is published here for the first time.

Theory Of Besov Spaces

Author : Yoshihiro Sawano
ISBN : 9789811308369
Genre :
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Integration And Modern Analysis

Author : John J. Benedetto
ISBN : 0817646566
Genre : Mathematics
File Size : 82. 64 MB
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This textbook and treatise begins with classical real variables, develops the Lebesgue theory abstractly and for Euclidean space, and analyzes the structure of measures. The authors' vision of modern real analysis is seen in their fascinating historical commentary and perspectives with other fields. There are comprehensive treatments of the role of absolute continuity, the evolution of the Riesz representation theorem to Radon measures and distribution theory, weak convergence of measures and the Dieudonné–Grothendieck theorem, modern differentiation theory, fractals and self-similarity, rearrangements and maximal functions, and surface and Hausdorff measures. There are hundreds of illuminating exercises, and extensive, focused appendices on functional and Fourier analysis. The presentation is ideal for the classroom, self-study, or professional reference.

Function Spaces And Partial Differential Equations

Author : Ali Taheri
ISBN : 9780198733133
Genre : Differential equations, Partial
File Size : 64. 14 MB
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This is a book written primarily for graduate students and early researchers in the fields of Analysis and Partial Differential Equations (PDEs). Coverage of the material is essentially self-contained, extensive and novel with great attention to details and rigour. The strength of the book primarily lies in its clear and detailed explanations, scope and coverage, highlighting and presenting deep and profound inter-connections between different related and seemingly unrelated disciplines within classical and modern mathematics and above all the extensive collection of examples, worked-out and hinted exercises. There are well over 700 exercises of varying level leading the reader from the basics to the most advanced levels and frontiers of research. The book can be used either for independent study or for a year-long graduate level course. In fact it has its origin in a year-long graduate course taught by the author in Oxford in 2004-5 and various parts of it in other institutions later on. A good number of distinguished researchers and faculty in mathematics worldwide have started their research career from the course that formed the basis for this book.

Subject Guide To Books In Print

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ISBN : STANFORD:36105025888517
Genre : American literature
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Mathematical Reviews

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ISBN : UVA:X006195256
Genre : Mathematics
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Choice

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ISBN : UCSC:32106014991829
Genre : Academic libraries
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Books In Print

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