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The theory of fractional powers of operators /
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 b...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; New York :
Elsevier,
2001.
|
| Edición: | 1st ed. |
| Colección: | North-Holland mathematics studies ;
187. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
MARC
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| 100 | 1 | |a Mart�inez Carracedo, Celso. | |
| 245 | 1 | 4 | |a The theory of fractional powers of operators / |c Celso Mart�inez Carracedo and Miguel Sanz Alix. |
| 250 | |a 1st ed. | ||
| 260 | |a Amsterdam ; |a New York : |b Elsevier, |c 2001. | ||
| 300 | |a 1 online resource (xii, 365 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a North-Holland mathematics studies ; |v 187 | |
| 520 | |a 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. | ||
| 504 | |a Includes bibliographical references (pages 347-360) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | 0 | |t Non-negative operators -- |t Differential operators -- |t Balakrishnan operator -- |t Extension of the hirsch functional calculus -- |t Fractional powers of operators -- |t Domains, uniqueness and the cauchy problem -- |t Negative and imaginary powers -- |t Dore-venni theorem -- |t Functional calculus for C₀-groups -- |t Imaginary powers on hilbert spaces -- |t Fractional powers and interpolation spaces -- |t Fractional powers of some differential operators. |
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2010. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2010 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 650 | 0 | |a Fractional powers. | |
| 650 | 6 | |a Puissances fractionnaires. |0 (CaQQLa)201-0361583 | |
| 650 | 7 | |a MATHEMATICS |x Functional Analysis. |2 bisacsh | |
| 650 | 7 | |a Fractional powers |2 fast |0 (OCoLC)fst00933518 | |
| 650 | 7 | |a Operatortheorie |2 gnd |0 (DE-588)4075665-8 | |
| 700 | 1 | |a Sanz Alix, Miguel. | |
| 776 | 0 | 8 | |i Print version: |a Mart�inez Carracedo, Celso. |t Theory of fractional powers of operators. |b 1st ed. |d Amsterdam ; New York : Elsevier, 2001 |z 0444887970 |z 9780444887979 |w (DLC) 2001268814 |w (OCoLC)45991107 |
| 776 | 0 | 8 | |i Online version: |a Mart�inez Carracedo, Celso. |t Theory of fractional powers of operators. |b 1st ed. |d Amsterdam ; New York : Elsevier, 2001 |w (OCoLC)760315639 |
| 830 | 0 | |a North-Holland mathematics studies ; |v 187. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780444887979 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=03040208&volume=187 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/03040208/187 |z Texto completo |