Distributions and operators
This book gives an introduction to distribution theory, in the spirit of Laurent Schwartz. Additionally, the aim is to show how the theory is combined with the study of operators in Hilbert space by methods of functional analysis, with applications to partial and ordinary differential equations. Her...
Wedi'i Gadw mewn:
| Prif Awdur: | |
|---|---|
| Fformat: | Livre numérique |
| Iaith: | Anglais |
| Cyhoeddwyd: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Rhifyn: | 1st ed. 2009. |
| Cyfres: | Graduate Texts in Mathematics
252 |
| Pynciau: | |
| Mynediad Ar-lein: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nodyn: |
Description d'après consultation du 20 octobre 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Distributions and operators, Gerd Grubb, New York, Springer, 2009, 1 vol. (XII-461 p.), Graduate texts in mathematics, 978-0-387-84894-5 • Distributions and Operators, Texte imprimé, 9780387849140 • Distributions and operators, Gerd Grubb, New York, Springer, 2009, 1 vol. (XII-461 p.), Graduate texts in mathematics, 978-0-387-84894-5 • Distributions and operators, Gerd Grubb, New York, Springer, 2009, 1 vol. (XII-461 p.), Graduate texts in mathematics, 978-0-387-84894-5 |
Tabl Cynhwysion:
- Distributions and derivatives Motivation and overview Function spaces and approximation Distributions. Examples and rules of calculus Extensions and applications Realizations and Sobolev spaces Fourier transformation of distributions Applications to differential operators. The Sobolev theorem Pseudodifferential operators Pseudodifferential operators on open sets Pseudodifferential operators on manifolds, index of elliptic operators Boundary value problems Boundary value problems in a constant-coefficient case Pseudodifferential boundary operators Pseudodifferential methods for boundary value problems Topics on Hilbert space operators Unbounded linear operators Families of extensions Semigroups of operators.