Introduction to hyperfunctions and their integral transforms : an applied and computational approach
This textbook presents an elementary introduction to generalized functions by using Sato's approach of hyperfunctions which is based on complex function theory. This very intuitive and appealing approach has particularly great computational power. The concept of hyperfunctions and their analy...
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| Autor principal: | |
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| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| Matèries: | |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Description d'après consultation du 2014-04-30 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Introduction to hyperfunctions and their integral transforms, an applied and computational approach, Urs Graf, Basel, Birkhäuser, 2010, 1 vol. (XI-415 p.), 978-3-0346-0407-9 |
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| 100 | 1 | |a Graf, Urs. | |
| 245 | 1 | 0 | |a Introduction to hyperfunctions and their integral transforms : |b an applied and computational approach |c Urs Graf. |
| 260 | |a Basel : |b Birkhäuser Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 500 | |a Description d'après consultation du 2014-04-30 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a to Hyperfunctions Analytic Properties Laplace Transforms Fourier Transforms Hilbert Transforms Mellin Transforms Hankel Transforms | |
| 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 textbook presents an elementary introduction to generalized functions by using Sato's approach of hyperfunctions which is based on complex function theory. This very intuitive and appealing approach has particularly great computational power. The concept of hyperfunctions and their analytic properties is introduced and discussed in detail in the first two chapters of the book. Thereafter the focus lies on generalizing the (classical) Laplace, Fourier, Hilbert, Mellin, and Hankel transformations to hyperfunctions. Applications to integral and differential equations and a rich variety of concrete examples accompany the text throughout the book. Requiring only standard knowledge of the theory of complex variables, the material is easily accessible for advanced undergraduate or graduate students. It serves as well as a reference for researchers in pure and applied mathematics, engineering and physics. | ||
| 650 | |a Fourier, Analyse de | ||
| 650 | |a Transformations intégrales | ||
| 650 | |a Fonctions spéciales | ||
| 776 | 0 | |0 15205765X |t Introduction to hyperfunctions and their integral transforms |o an applied and computational approach |f Urs Graf |c Basel |n Birkhäuser |d 2010 |p 1 vol. (XI-415 p.) |z 978-3-0346-0407-9 | |
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