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Eigenvalues, Embeddings and Generalised Trigonometric Functions
The main theme of the book is the study, from the standpoint of s-numbers, of integral operators of Hardy type and related Sobolev embeddings. In the theory of s-numbers the idea is to attach to every bounded linear map between Banach spaces a monotone decreasing sequence of non-negative numbers wit...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2011.
|
| Edición: | 1st ed. 2011. |
| Colección: | Lecture Notes in Mathematics,
2016 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-642-18429-1 | ||
| 003 | DE-He213 | ||
| 005 | 20220116020120.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 110317s2011 gw | s |||| 0|eng d | ||
| 020 | |a 9783642184291 |9 978-3-642-18429-1 | ||
| 024 | 7 | |a 10.1007/978-3-642-18429-1 |2 doi | |
| 050 | 4 | |a QA299.6-433 | |
| 072 | 7 | |a PBK |2 bicssc | |
| 072 | 7 | |a MAT034000 |2 bisacsh | |
| 072 | 7 | |a PBK |2 thema | |
| 082 | 0 | 4 | |a 515 |2 23 |
| 100 | 1 | |a Lang, Jan. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Eigenvalues, Embeddings and Generalised Trigonometric Functions |h [electronic resource] / |c by Jan Lang, David E. Edmunds. |
| 250 | |a 1st ed. 2011. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2011. | |
| 300 | |a XI, 220 p. 10 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 2016 | |
| 505 | 0 | |a 1 Basic material -- 2 Trigonometric generalisations -- 3 The Laplacian and some natural variants -- 4 Hardy operators -- 5 s-Numbers and generalised trigonometric functions -- 6 Estimates of s-numbers of weighted Hardy operators -- 7 More refined estimates -- 8 A non-linear integral system -- 9 Hardy operators on variable exponent spaces. | |
| 520 | |a The main theme of the book is the study, from the standpoint of s-numbers, of integral operators of Hardy type and related Sobolev embeddings. In the theory of s-numbers the idea is to attach to every bounded linear map between Banach spaces a monotone decreasing sequence of non-negative numbers with a view to the classification of operators according to the way in which these numbers approach a limit: approximation numbers provide an especially important example of such numbers. The asymptotic behavior of the s-numbers of Hardy operators acting between Lebesgue spaces is determined here in a wide variety of cases. The proof methods involve the geometry of Banach spaces and generalized trigonometric functions; there are connections with the theory of the p-Laplacian. | ||
| 650 | 0 | |a Mathematical analysis. | |
| 650 | 0 | |a Approximation theory. | |
| 650 | 0 | |a Functional analysis. | |
| 650 | 0 | |a Special functions. | |
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a Mathematics-Study and teaching . | |
| 650 | 1 | 4 | |a Analysis. |
| 650 | 2 | 4 | |a Approximations and Expansions. |
| 650 | 2 | 4 | |a Functional Analysis. |
| 650 | 2 | 4 | |a Special Functions. |
| 650 | 2 | 4 | |a Differential Equations. |
| 650 | 2 | 4 | |a Mathematics Education. |
| 700 | 1 | |a Edmunds, David E. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783642182679 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642184307 |
| 830 | 0 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 2016 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-642-18429-1 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 912 | |a ZDB-2-LNM | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||