The Structure of Functions:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Springer Basel
2001
|
| Schriftenreihe: | Modern Birkhäuser Classics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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. It is directed to mathematicians and (theoretical) physicists interested in the topics indicated and, in particular, how they are interrelated. - - - The book under review can be regarded as a continuation of [his book on "Fractals and spectra", 1997] (...) There are many sections named: comments, preparations, motivations, discussions and so on. These parts of the book seem to be very interesting and valuable. They help the reader to deal with the main course. (Mathematical Reviews) |
| Beschreibung: | 1 Online-Ressource (XII, 425 p) |
| ISBN: | 9783034805698 9783034805681 |
| DOI: | 10.1007/978-3-0348-0569-8 |
Internformat
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Datensatz im Suchindex
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| author | Triebel, Hans |
| author_facet | Triebel, Hans |
| author_role | aut |
| author_sort | Triebel, Hans |
| author_variant | h t ht |
| building | Verbundindex |
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| dewey-full | 515.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7 |
| dewey-search | 515.7 |
| dewey-sort | 3515.7 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-0348-0569-8 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T01:21:09Z |
| institution | BVB |
| isbn | 9783034805698 9783034805681 |
| language | English |
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| spelling | Triebel, Hans Verfasser aut The Structure of Functions by Hans Triebel Basel Springer Basel 2001 1 Online-Ressource (XII, 425 p) txt rdacontent c rdamedia cr rdacarrier Modern Birkhäuser Classics 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. It is directed to mathematicians and (theoretical) physicists interested in the topics indicated and, in particular, how they are interrelated. - - - The book under review can be regarded as a continuation of [his book on "Fractals and spectra", 1997] (...) There are many sections named: comments, preparations, motivations, discussions and so on. These parts of the book seem to be very interesting and valuable. They help the reader to deal with the main course. (Mathematical Reviews) Mathematics Harmonic analysis Functional analysis Operator theory Differential equations, partial Functional Analysis Measure and Integration Abstract Harmonic Analysis Partial Differential Equations Operator Theory Mathematik Funktionenraum (DE-588)4134834-5 gnd rswk-swf Wavelet (DE-588)4215427-3 gnd rswk-swf Fraktal (DE-588)4123220-3 gnd rswk-swf Funktionenraum (DE-588)4134834-5 s Fraktal (DE-588)4123220-3 s Wavelet (DE-588)4215427-3 s 1\p DE-604 https://doi.org/10.1007/978-3-0348-0569-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Triebel, Hans The Structure of Functions Mathematics Harmonic analysis Functional analysis Operator theory Differential equations, partial Functional Analysis Measure and Integration Abstract Harmonic Analysis Partial Differential Equations Operator Theory Mathematik Funktionenraum (DE-588)4134834-5 gnd Wavelet (DE-588)4215427-3 gnd Fraktal (DE-588)4123220-3 gnd |
| subject_GND | (DE-588)4134834-5 (DE-588)4215427-3 (DE-588)4123220-3 |
| title | The Structure of Functions |
| title_auth | The Structure of Functions |
| title_exact_search | The Structure of Functions |
| title_full | The Structure of Functions by Hans Triebel |
| title_fullStr | The Structure of Functions by Hans Triebel |
| title_full_unstemmed | The Structure of Functions by Hans Triebel |
| title_short | The Structure of Functions |
| title_sort | the structure of functions |
| topic | Mathematics Harmonic analysis Functional analysis Operator theory Differential equations, partial Functional Analysis Measure and Integration Abstract Harmonic Analysis Partial Differential Equations Operator Theory Mathematik Funktionenraum (DE-588)4134834-5 gnd Wavelet (DE-588)4215427-3 gnd Fraktal (DE-588)4123220-3 gnd |
| topic_facet | Mathematics Harmonic analysis Functional analysis Operator theory Differential equations, partial Functional Analysis Measure and Integration Abstract Harmonic Analysis Partial Differential Equations Operator Theory Mathematik Funktionenraum Wavelet Fraktal |
| url | https://doi.org/10.1007/978-3-0348-0569-8 |
| work_keys_str_mv | AT triebelhans thestructureoffunctions |