The theory of fractional powers of operators:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
Elsevier
2001
|
| Ausgabe: | 1st ed |
| Schriftenreihe: | North-Holland mathematics studies
187 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book makes available to researchers and advanced graduates a simple and direct presentation of the fundamental aspects of the theory of fractional powers of non-negative operators, which have important links with partial differential equations and harmonic analysis. For the first time ever, a book deals with this subject monographically, despite the large number of papers written on it during the second half of the century. The first chapters are concerned with the construction of a basic theory of fractional powers and study the classic questions in that respect. A new and distinct feature is that the approach adopted has allowed the extension of this theory to locally convex spaces, thereby including certain differential operators, which appear naturally in distribution spaces. The bulk of the second part of the book is dedicated to powers with pure imaginary exponents, which have been the focus of research in recent years, ever since the publication in 1987 of the now classic paper by G. Dore and A. Venni. Special care has been taken to give versions of the results with more accurate hypotheses, particularly with respect to the density of the domain or the range of the operator. The authors have made a point of making the text clear and self-contained. Accordingly, an extensive appendix contains the material on real and functional analysis used and, at the end of each chapter there are detailed historical and bibliographical notes in order to understand the development and current state of research into the questions dealt with Includes bibliographical references (p. 347-360) and index |
| Beschreibung: | 1 Online-Ressource (xii, 365 p.) |
| ISBN: | 9780444887979 0444887970 0585474516 9780585474519 |
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| 245 | 1 | 0 | |a The theory of fractional powers of operators |c Celso Martínez Carracedo and Miguel Sanz Alix |
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Datensatz im Suchindex
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| author | Martínez Carracedo, Celso |
| author_facet | Martínez Carracedo, Celso |
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| author_sort | Martínez Carracedo, Celso |
| author_variant | c c m cc ccm |
| building | Verbundindex |
| bvnumber | BV042317271 |
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| dewey-full | 515/.7246 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.7246 |
| dewey-search | 515/.7246 |
| dewey-sort | 3515 47246 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1st ed |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:18:16Z |
| institution | BVB |
| isbn | 9780444887979 0444887970 0585474516 9780585474519 |
| language | English |
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| physical | 1 Online-Ressource (xii, 365 p.) |
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| spelling | Martínez Carracedo, Celso Verfasser aut The theory of fractional powers of operators Celso Martínez Carracedo and Miguel Sanz Alix 1st ed Amsterdam Elsevier 2001 1 Online-Ressource (xii, 365 p.) txt rdacontent c rdamedia cr rdacarrier North-Holland mathematics studies 187 This book makes available to researchers and advanced graduates a simple and direct presentation of the fundamental aspects of the theory of fractional powers of non-negative operators, which have important links with partial differential equations and harmonic analysis. For the first time ever, a book deals with this subject monographically, despite the large number of papers written on it during the second half of the century. The first chapters are concerned with the construction of a basic theory of fractional powers and study the classic questions in that respect. A new and distinct feature is that the approach adopted has allowed the extension of this theory to locally convex spaces, thereby including certain differential operators, which appear naturally in distribution spaces. The bulk of the second part of the book is dedicated to powers with pure imaginary exponents, which have been the focus of research in recent years, ever since the publication in 1987 of the now classic paper by G. Dore and A. Venni. Special care has been taken to give versions of the results with more accurate hypotheses, particularly with respect to the density of the domain or the range of the operator. The authors have made a point of making the text clear and self-contained. Accordingly, an extensive appendix contains the material on real and functional analysis used and, at the end of each chapter there are detailed historical and bibliographical notes in order to understand the development and current state of research into the questions dealt with Includes bibliographical references (p. 347-360) and index MATHEMATICS / Functional Analysis bisacsh Fractional powers fast Fractional powers Operatortheorie (DE-588)4075665-8 gnd rswk-swf Operatortheorie (DE-588)4075665-8 s 1\p DE-604 Sanz Alix, Miguel Sonstige oth http://www.sciencedirect.com/science/book/9780444887979 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Martínez Carracedo, Celso The theory of fractional powers of operators MATHEMATICS / Functional Analysis bisacsh Fractional powers fast Fractional powers Operatortheorie (DE-588)4075665-8 gnd |
| subject_GND | (DE-588)4075665-8 |
| title | The theory of fractional powers of operators |
| title_auth | The theory of fractional powers of operators |
| title_exact_search | The theory of fractional powers of operators |
| title_full | The theory of fractional powers of operators Celso Martínez Carracedo and Miguel Sanz Alix |
| title_fullStr | The theory of fractional powers of operators Celso Martínez Carracedo and Miguel Sanz Alix |
| title_full_unstemmed | The theory of fractional powers of operators Celso Martínez Carracedo and Miguel Sanz Alix |
| title_short | The theory of fractional powers of operators |
| title_sort | the theory of fractional powers of operators |
| topic | MATHEMATICS / Functional Analysis bisacsh Fractional powers fast Fractional powers Operatortheorie (DE-588)4075665-8 gnd |
| topic_facet | MATHEMATICS / Functional Analysis Fractional powers Operatortheorie |
| url | http://www.sciencedirect.com/science/book/9780444887979 |
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