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...
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| Auteurs principaux: | , |
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| 其他作者: | |
| 格式: | Livre numérique |
| 語言: | Anglais |
| 出版: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| 叢編: | Lecture notes in mathematics
1703 |
| 主題: | |
| 在線閱讀: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| 提示: |
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 |
| 總結: | 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. |
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| Item Description: | Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| ISBN: | 9783540488149 (PDF) |
| ISSN: | 1617-9692 |
| 訪問: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |