A mathematical introduction to wavelets:
This book presents a mathematical introduction to the theory of orthogonal wavelets and their uses in analysing functions and function spaces, both in one and in several variables. Starting with a detailed and self contained discussion of the general construction of one dimensional wavelets from mul...
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge
Cambridge University Press
[1997]
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Schriftenreihe: | London Mathematical Society student texts
37 |
Schlagworte: | |
Online-Zugang: | BSB01 FHN01 UBR01 UPA01 Volltext |
Zusammenfassung: | This book presents a mathematical introduction to the theory of orthogonal wavelets and their uses in analysing functions and function spaces, both in one and in several variables. Starting with a detailed and self contained discussion of the general construction of one dimensional wavelets from multiresolution analysis, the book presents in detail the most important wavelets: spline wavelets, Meyer's wavelets and wavelets with compact support. It then moves to the corresponding multivariable theory and gives genuine multivariable examples. Wavelet decompositions in Lp spaces, Hardy spaces and Besov spaces are discussed and wavelet characterisations of those spaces are provided. Also included are some additional topics like periodic wavelets or wavelets not associated with a multiresolution analysis. This will be an invaluable book for those wishing to learn about the mathematical foundations of wavelets |
Beschreibung: | 1 Online-Ressource (xii, 261 Seiten) |
ISBN: | 9780511623790 |
DOI: | 10.1017/CBO9780511623790 |
Internformat
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490 | 1 | |a London Mathematical Society student texts |v 37 | |
520 | |a This book presents a mathematical introduction to the theory of orthogonal wavelets and their uses in analysing functions and function spaces, both in one and in several variables. Starting with a detailed and self contained discussion of the general construction of one dimensional wavelets from multiresolution analysis, the book presents in detail the most important wavelets: spline wavelets, Meyer's wavelets and wavelets with compact support. It then moves to the corresponding multivariable theory and gives genuine multivariable examples. Wavelet decompositions in Lp spaces, Hardy spaces and Besov spaces are discussed and wavelet characterisations of those spaces are provided. Also included are some additional topics like periodic wavelets or wavelets not associated with a multiresolution analysis. This will be an invaluable book for those wishing to learn about the mathematical foundations of wavelets | ||
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Datensatz im Suchindex
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any_adam_object | |
author | Wojtaszczyk, Przemysław 1940- |
author_GND | (DE-588)143778927 |
author_facet | Wojtaszczyk, Przemysław 1940- |
author_role | aut |
author_sort | Wojtaszczyk, Przemysław 1940- |
author_variant | p w pw |
building | Verbundindex |
bvnumber | BV043940796 |
classification_rvk | SK 450 |
collection | ZDB-20-CBO |
ctrlnum | (ZDB-20-CBO)CR9780511623790 (OCoLC)967678830 (DE-599)BVBBV043940796 |
dewey-full | 515/.2433 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515/.2433 |
dewey-search | 515/.2433 |
dewey-sort | 3515 42433 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1017/CBO9780511623790 |
format | Electronic eBook |
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illustrated | Not Illustrated |
indexdate | 2024-07-10T07:39:14Z |
institution | BVB |
isbn | 9780511623790 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349766 |
oclc_num | 967678830 |
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owner_facet | DE-12 DE-92 DE-739 DE-355 DE-BY-UBR |
physical | 1 Online-Ressource (xii, 261 Seiten) |
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publishDate | 1997 |
publishDateSearch | 1997 |
publishDateSort | 1997 |
publisher | Cambridge University Press |
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series | London Mathematical Society student texts |
series2 | London Mathematical Society student texts |
spelling | Wojtaszczyk, Przemysław 1940- Verfasser (DE-588)143778927 aut A mathematical introduction to wavelets P. Wojtaszczyk Cambridge Cambridge University Press [1997] © 1997 1 Online-Ressource (xii, 261 Seiten) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society student texts 37 This book presents a mathematical introduction to the theory of orthogonal wavelets and their uses in analysing functions and function spaces, both in one and in several variables. Starting with a detailed and self contained discussion of the general construction of one dimensional wavelets from multiresolution analysis, the book presents in detail the most important wavelets: spline wavelets, Meyer's wavelets and wavelets with compact support. It then moves to the corresponding multivariable theory and gives genuine multivariable examples. Wavelet decompositions in Lp spaces, Hardy spaces and Besov spaces are discussed and wavelet characterisations of those spaces are provided. Also included are some additional topics like periodic wavelets or wavelets not associated with a multiresolution analysis. This will be an invaluable book for those wishing to learn about the mathematical foundations of wavelets Wavelets (Mathematics) Wavelet (DE-588)4215427-3 gnd rswk-swf Wavelet (DE-588)4215427-3 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 978-0-521-57894-3 Erscheint auch als Druck-Ausgabe 978-0-521-57020-6 London Mathematical Society student texts 37 (DE-604)BV046807407 37 https://doi.org/10.1017/CBO9780511623790 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Wojtaszczyk, Przemysław 1940- A mathematical introduction to wavelets London Mathematical Society student texts Wavelets (Mathematics) Wavelet (DE-588)4215427-3 gnd |
subject_GND | (DE-588)4215427-3 |
title | A mathematical introduction to wavelets |
title_auth | A mathematical introduction to wavelets |
title_exact_search | A mathematical introduction to wavelets |
title_full | A mathematical introduction to wavelets P. Wojtaszczyk |
title_fullStr | A mathematical introduction to wavelets P. Wojtaszczyk |
title_full_unstemmed | A mathematical introduction to wavelets P. Wojtaszczyk |
title_short | A mathematical introduction to wavelets |
title_sort | a mathematical introduction to wavelets |
topic | Wavelets (Mathematics) Wavelet (DE-588)4215427-3 gnd |
topic_facet | Wavelets (Mathematics) Wavelet |
url | https://doi.org/10.1017/CBO9780511623790 |
volume_link | (DE-604)BV046807407 |
work_keys_str_mv | AT wojtaszczykprzemysław amathematicalintroductiontowavelets |