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...
Guardat en:
| Autor principal: | |
|---|---|
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Edició: | 1st ed. 2009. |
| Col·lecció: | Graduate Texts in Mathematics
252 |
| Matèries: | |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
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 |
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| 084 | |a 47Bxx. 2000 | ||
| 084 | |a 47B06. 2000 | ||
| 100 | 1 | |a Grubb, Gerd, |d 1939- | |
| 245 | 1 | 0 | |a Distributions and operators |c by Gerd Grubb. |
| 250 | |a 1st ed. 2009. | ||
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Graduate Texts in Mathematics |v 252 |x 2197-5612 | |
| 500 | |a Description d'après consultation du 20 octobre 2011 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. Here, the author provides an introduction to unbounded operators in Hilbert space, including a complete theory of extensions of operators, and applications using contraction semigroups. In more advanced parts of the book, the author shows how distribution theory is used to define pseudodifferential operators on manifolds, and gives a detailed introduction to the pseudodifferential boundary operator calculus initiated by Boutet de Monvel, which allows a modern treatment of elliptic boundary value problems. This book is aimed at graduate students, as well as researchers interested in its special topics, and as such, the author provides careful explanations along with complete proofs, and a bibliography of relevant books and papers. Each chapter has been enhanced with many exercises and examples. Unique topics include: * the interplay between distribution theory and concrete operators; * families of extensions of nonselfadjoint operators; * an illustration of the solution maps between distribution spaces by a fully worked out constant-coefficient case; * the pseudodifferential boundary operator calculus; * the Calderón projector and its applications. Gerd Grubb is Professor of Mathematics at University of Copenhagen. | ||
| 650 | |a Théorie des opérateurs | ||
| 650 | |a Schémas de Hilbert | ||
| 650 | |a Théorie des distributions (analyse fonctionnelle) | ||
| 776 | 0 | |0 129406880 |t Distributions and operators |f Gerd Grubb |c New York |n Springer |d 2009 |p 1 vol. (XII-461 p.) |s Graduate texts in mathematics |z 978-0-387-84894-5 | |
| 776 | 0 | |t Distributions and Operators |b Texte imprimé |z 9780387849140 | |
| 776 | 0 | |0 129406880 |t Distributions and operators |f Gerd Grubb |c New York |n Springer |d 2009 |p 1 vol. (XII-461 p.) |s Graduate texts in mathematics |z 978-0-387-84894-5 | |
| 776 | 0 | |0 129406880 |t Distributions and operators |f Gerd Grubb |c New York |n Springer |d 2009 |p 1 vol. (XII-461 p.) |s Graduate texts in mathematics |z 978-0-387-84894-5 | |
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