Abel Integral Equations : Analysis and Applications
In many fields of application of mathematics, progress is crucially dependent on the good flow of information between (i) theoretical mathematicians looking for applications, (ii) mathematicians working in applications in need of theory, and (iii) scientists and engineers applying mathematical model...
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Livre numérique |
| Lingua: | Anglais |
| Pubblicazione: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serie: | Lecture notes in mathematics
1461 |
| Soggetti: | |
| Accesso online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Abel integral equations, analysis and applications, Rudolf Gorenflo, Sergio Vessella, 1991, Berlin, Springer, 1 volume (VII-215 pages), Lecture notes in mathematics, 3-540-53668-X • Abel Integral Equations, Texte imprimé, 9783662201886 |
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| 100 | 1 | |a Gorenflo, Rudolf, |d 1930-2017. | |
| 245 | 1 | 0 | |a Abel Integral Equations : |b Analysis and Applications |c Rudolf Gorenflo, Sergio Vessella. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1461 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Basic theory and representation formulas -- Applications of Abel's original integral equation: Determination of potentials -- Applications of a transformed abel integral equation -- Smoothing properties of the abel operators -- Existence and uniqueness theorems -- Relations between abel transform and other integral transforms -- Nonlinear abel integral equations of second kind -- Illposedness and stabilization of linear abel integral equations of first kind -- On numerical treatment of first kind abel integral equations. | |
| 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 In many fields of application of mathematics, progress is crucially dependent on the good flow of information between (i) theoretical mathematicians looking for applications, (ii) mathematicians working in applications in need of theory, and (iii) scientists and engineers applying mathematical models and methods. The intention of this book is to stimulate this flow of information. In the first three chapters (accessible to third year students of mathematics and physics and to mathematically interested engineers) applications of Abel integral equations are surveyed broadly including determination of potentials, stereology, seismic travel times, spectroscopy, optical fibres. In subsequent chapters (requiring some background in functional analysis) mapping properties of Abel integral operators and their relation to other integral transforms in various function spaces are investi- gated, questions of existence and uniqueness of solutions of linear and nonlinear Abel integral equations are treated, and for equations of the first kind problems of ill-posedness are discussed. Finally, some numerical methods are described. In the theoretical parts, emphasis is put on the aspects relevant to applications. | ||
| 650 | |a Équations intégrales | ||
| 650 | |a Analyse numérique | ||
| 650 | |a Analyse mathématique | ||
| 650 | |a Fonctions abéliennes | ||
| 700 | 1 | |a Vessella, Sergio. |4 aut | |
| 776 | 0 | |0 021857741 |t Abel integral equations |o analysis and applications |f Rudolf Gorenflo, Sergio Vessella |d 1991 |c Berlin |n Springer |p 1 volume (VII-215 pages) |s Lecture notes in mathematics |z 3-540-53668-X | |
| 776 | 0 | |t Abel Integral Equations |b Texte imprimé |z 9783662201886 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0084665 |z Accès sur la plateforme de l'éditeur | |
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| 856 | 4 | |5 452349901:750664703 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0084665 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754014029 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0084665 |z Accès INSA CVL | |
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