Theory of p-adic distributions: linear and nonlinear models
This 2010 book was the first devoted to the theory of p-adic wavelets and pseudo-differential equations in the framework of distribution theory. This relatively recent theory has become increasingly important in the last decade with exciting applications in a variety of fields, including biology, im...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2010
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| Schriftenreihe: | London Mathematical Society lecture note series
370 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | This 2010 book was the first devoted to the theory of p-adic wavelets and pseudo-differential equations in the framework of distribution theory. This relatively recent theory has become increasingly important in the last decade with exciting applications in a variety of fields, including biology, image analysis, psychology, and information science. p-Adic mathematical physics also plays an important role in quantum mechanics and quantum field theory, the theory of strings, quantum gravity and cosmology, and solid state physics. The authors include many new results, some of which constitute new areas in p-adic analysis related to the theory of distributions, such as wavelet theory, the theory of pseudo-differential operators and equations, asymptotic methods, and harmonic analysis. Any researcher working with applications of p-adic analysis will find much of interest in this book. Its extended introduction and self-contained presentation also make it accessible to graduate students approaching the theory for the first time |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xvi, 351 pages) |
| ISBN: | 9781139107167 |
| DOI: | 10.1017/CBO9781139107167 |
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| 505 | 8 | |a P-adic numbers -- P-adic functions -- P-adic integration theory -- P-adic distributions -- Some results from p-adic p-adic L-theories -- The theory of associated and quasi associated homogeneous p-adic distribution -- P-adic Lizorkin spaces of the test functions and distributions -- The theory of P-adic wavelets -- Pseudo-differential operators on the p-adic Lizorkin spaces -- Pseudo-differential equation -- A p-adic =Schrodinger-type operator with interactions -- Distributional asymptotic and p-adic Tauberian theorems -- Asymptotics of the p-adic singular Fourier integrals -- Nonlinear theories of p-adic generalized functions -- The theory of associated and quasi associated homogeneous real distributions -- Two identities -- Proof of a theorem on weak asymptotic expansions -- One natural way to introduce a measure on Qp | |
| 520 | |a This 2010 book was the first devoted to the theory of p-adic wavelets and pseudo-differential equations in the framework of distribution theory. This relatively recent theory has become increasingly important in the last decade with exciting applications in a variety of fields, including biology, image analysis, psychology, and information science. p-Adic mathematical physics also plays an important role in quantum mechanics and quantum field theory, the theory of strings, quantum gravity and cosmology, and solid state physics. The authors include many new results, some of which constitute new areas in p-adic analysis related to the theory of distributions, such as wavelet theory, the theory of pseudo-differential operators and equations, asymptotic methods, and harmonic analysis. Any researcher working with applications of p-adic analysis will find much of interest in this book. Its extended introduction and self-contained presentation also make it accessible to graduate students approaching the theory for the first time | ||
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Datensatz im Suchindex
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|---|---|
| any_adam_object | |
| author | Albeverio, Sergio |
| author_facet | Albeverio, Sergio |
| author_role | aut |
| author_sort | Albeverio, Sergio |
| author_variant | s a sa |
| building | Verbundindex |
| bvnumber | BV043942414 |
| classification_rvk | SI 320 SK 600 |
| collection | ZDB-20-CBO |
| contents | P-adic numbers -- P-adic functions -- P-adic integration theory -- P-adic distributions -- Some results from p-adic p-adic L-theories -- The theory of associated and quasi associated homogeneous p-adic distribution -- P-adic Lizorkin spaces of the test functions and distributions -- The theory of P-adic wavelets -- Pseudo-differential operators on the p-adic Lizorkin spaces -- Pseudo-differential equation -- A p-adic =Schrodinger-type operator with interactions -- Distributional asymptotic and p-adic Tauberian theorems -- Asymptotics of the p-adic singular Fourier integrals -- Nonlinear theories of p-adic generalized functions -- The theory of associated and quasi associated homogeneous real distributions -- Two identities -- Proof of a theorem on weak asymptotic expansions -- One natural way to introduce a measure on Qp |
| ctrlnum | (ZDB-20-CBO)CR9781139107167 (OCoLC)852501426 (DE-599)BVBBV043942414 |
| dewey-full | 519.2/4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2/4 |
| dewey-search | 519.2/4 |
| dewey-sort | 3519.2 14 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781139107167 |
| format | Electronic eBook |
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| id | DE-604.BV043942414 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:17Z |
| institution | BVB |
| isbn | 9781139107167 |
| language | English |
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| spelling | Albeverio, Sergio Verfasser aut Theory of p-adic distributions linear and nonlinear models S. Albeverio, A. Yu. Khrennikov, V.M. Shelkovich Cambridge Cambridge University Press 2010 1 online resource (xvi, 351 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 370 Title from publisher's bibliographic system (viewed on 05 Oct 2015) P-adic numbers -- P-adic functions -- P-adic integration theory -- P-adic distributions -- Some results from p-adic p-adic L-theories -- The theory of associated and quasi associated homogeneous p-adic distribution -- P-adic Lizorkin spaces of the test functions and distributions -- The theory of P-adic wavelets -- Pseudo-differential operators on the p-adic Lizorkin spaces -- Pseudo-differential equation -- A p-adic =Schrodinger-type operator with interactions -- Distributional asymptotic and p-adic Tauberian theorems -- Asymptotics of the p-adic singular Fourier integrals -- Nonlinear theories of p-adic generalized functions -- The theory of associated and quasi associated homogeneous real distributions -- Two identities -- Proof of a theorem on weak asymptotic expansions -- One natural way to introduce a measure on Qp This 2010 book was the first devoted to the theory of p-adic wavelets and pseudo-differential equations in the framework of distribution theory. This relatively recent theory has become increasingly important in the last decade with exciting applications in a variety of fields, including biology, image analysis, psychology, and information science. p-Adic mathematical physics also plays an important role in quantum mechanics and quantum field theory, the theory of strings, quantum gravity and cosmology, and solid state physics. The authors include many new results, some of which constitute new areas in p-adic analysis related to the theory of distributions, such as wavelet theory, the theory of pseudo-differential operators and equations, asymptotic methods, and harmonic analysis. Any researcher working with applications of p-adic analysis will find much of interest in this book. Its extended introduction and self-contained presentation also make it accessible to graduate students approaching the theory for the first time p-adic numbers p-adic analysis Distribution (Probability theory) p-adische Analysis (DE-588)4252360-6 gnd rswk-swf Pseudodifferentialgleichung (DE-588)4121533-3 gnd rswk-swf Wavelet (DE-588)4215427-3 gnd rswk-swf Distributionstheorie (DE-588)4150254-1 gnd rswk-swf p-adische Analysis (DE-588)4252360-6 s Wavelet (DE-588)4215427-3 s Pseudodifferentialgleichung (DE-588)4121533-3 s Distributionstheorie (DE-588)4150254-1 s 1\p DE-604 Khrennikov, A. I͡U 1958- Sonstige oth Shelkovich, V. M. Sonstige oth Erscheint auch als Druckausgabe 978-0-521-14856-6 https://doi.org/10.1017/CBO9781139107167 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Albeverio, Sergio Theory of p-adic distributions linear and nonlinear models P-adic numbers -- P-adic functions -- P-adic integration theory -- P-adic distributions -- Some results from p-adic p-adic L-theories -- The theory of associated and quasi associated homogeneous p-adic distribution -- P-adic Lizorkin spaces of the test functions and distributions -- The theory of P-adic wavelets -- Pseudo-differential operators on the p-adic Lizorkin spaces -- Pseudo-differential equation -- A p-adic =Schrodinger-type operator with interactions -- Distributional asymptotic and p-adic Tauberian theorems -- Asymptotics of the p-adic singular Fourier integrals -- Nonlinear theories of p-adic generalized functions -- The theory of associated and quasi associated homogeneous real distributions -- Two identities -- Proof of a theorem on weak asymptotic expansions -- One natural way to introduce a measure on Qp p-adic numbers p-adic analysis Distribution (Probability theory) p-adische Analysis (DE-588)4252360-6 gnd Pseudodifferentialgleichung (DE-588)4121533-3 gnd Wavelet (DE-588)4215427-3 gnd Distributionstheorie (DE-588)4150254-1 gnd |
| subject_GND | (DE-588)4252360-6 (DE-588)4121533-3 (DE-588)4215427-3 (DE-588)4150254-1 |
| title | Theory of p-adic distributions linear and nonlinear models |
| title_auth | Theory of p-adic distributions linear and nonlinear models |
| title_exact_search | Theory of p-adic distributions linear and nonlinear models |
| title_full | Theory of p-adic distributions linear and nonlinear models S. Albeverio, A. Yu. Khrennikov, V.M. Shelkovich |
| title_fullStr | Theory of p-adic distributions linear and nonlinear models S. Albeverio, A. Yu. Khrennikov, V.M. Shelkovich |
| title_full_unstemmed | Theory of p-adic distributions linear and nonlinear models S. Albeverio, A. Yu. Khrennikov, V.M. Shelkovich |
| title_short | Theory of p-adic distributions |
| title_sort | theory of p adic distributions linear and nonlinear models |
| title_sub | linear and nonlinear models |
| topic | p-adic numbers p-adic analysis Distribution (Probability theory) p-adische Analysis (DE-588)4252360-6 gnd Pseudodifferentialgleichung (DE-588)4121533-3 gnd Wavelet (DE-588)4215427-3 gnd Distributionstheorie (DE-588)4150254-1 gnd |
| topic_facet | p-adic numbers p-adic analysis Distribution (Probability theory) p-adische Analysis Pseudodifferentialgleichung Wavelet Distributionstheorie |
| url | https://doi.org/10.1017/CBO9781139107167 |
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