Differentiability of six operators on nonsmooth functions and p-variation
The book is about differentiability of six operators on functions or pairs of functions: composition (f of g), integration (of f dg), multiplication and convolution of two functions, both varying, and the product integral and inverse operators for one function. The operators are differentiable with...
Salvato in:
| Autori principali: | , |
|---|---|
| Altri autori: | |
| Natura: | Livre numérique |
| Lingua: | Anglais |
| Pubblicazione: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serie: | Lecture notes in mathematics
1703 |
| 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: | • Differentiability of six operators on nonsmooth functions and p-variation, Richard M. Dudley, Rimas Norvaiša, 1999, Berlin, Springer, 1 vol. (VIII-277 p.), Lecture notes in mathematics, 3-540-65975-7 • Differentiability of Six Operators on Nonsmooth Functions and p-Variation, Texte imprimé, 9783662183403 |
| LEADER | 03724nam a22004457a 4500 | ||
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| 001 | 971229 | ||
| 008 | 110927q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN155203649 | ||
| 020 | |a 9783540488149 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 100 | 1 | |a Dudley, Richard Mansfield, |d 1938-2020. | |
| 245 | 1 | 0 | |a Differentiability of six operators on nonsmooth functions and p-variation |c Richard M. Dudley, Rimas Norvaiša ; with the collaboration of Jinghua Qian. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1703 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a A survey on differentiability of six operators in relation to probability and statistics -- Product integrals, young integrals and p-variation -- Differentiability of the composition and quantile operators for regulated and A. E. continuous functions -- Bibliographies on p-variation and ?-variation. | |
| 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 The book is about differentiability of six operators on functions or pairs of functions: composition (f of g), integration (of f dg), multiplication and convolution of two functions, both varying, and the product integral and inverse operators for one function. The operators are differentiable with respect to p-variation norms with optimal remainder bounds. Thus the functions as arguments of the operators can be nonsmooth, possibly discontinuous, but four of the six operators turn out to be analytic (holomorphic) for some p-variation norms. The reader will need to know basic real analysis, including Riemann and Lebesgue integration. The book is intended for analysts, statisticians and probabilists. Analysts and statisticians have each studied the differentiability of some of the operators from different viewpoints, and this volume seeks to unify and expand their results. | ||
| 650 | |a Intégrales | ||
| 650 | |a Optimisation non différentiable | ||
| 650 | |a Opérateurs différentiels | ||
| 650 | |a Fonctions à variation bornée | ||
| 650 | |a Mathématiques | ||
| 650 | |a Analyse globale (mathématiques) | ||
| 650 | |a Théorie des opérateurs | ||
| 650 | |a Fonctions d'une variable réelle | ||
| 700 | 1 | |a Norvaiša, Rimas, |d 1956-...., |c mathématicien. |4 aut | |
| 700 | 1 | |a Qian, Jinghua, |d 19..- |4 clb | |
| 776 | 0 | |0 059263024 |t Differentiability of six operators on nonsmooth functions and p-variation |f Richard M. Dudley, Rimas Norvaiša |d 1999 |c Berlin |n Springer |p 1 vol. (VIII-277 p.) |s Lecture notes in mathematics |z 3-540-65975-7 | |
| 776 | 0 | |t Differentiability of Six Operators on Nonsmooth Functions and p-Variation |b Texte imprimé |z 9783662183403 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0100744 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-LP8QLWF8-1 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750654872 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0100744 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754004899 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0100744 |z Accès INSA CVL | |
| 997 | |0 971229 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||