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Record Nr. |
UNINA9910818013603321 |
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Autore |
Lifshit͡s M. A (Mikhail Anatolʹevich), <1956-> |
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Titolo |
Approximation and entropy numbers of Volterra operators with application to Brownian motion / / Mikhail A. Lifshits, Werner Linde |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2002 |
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ISBN |
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Descrizione fisica |
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1 online resource (103 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 745 |
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Disciplina |
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Soggetti |
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Volterra operators |
Entropy (Information theory) |
Brownian motion processes |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 157, number 745 (first of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Main Results""; ""Chapter 3. Scale Transformations""; ""3.1. Increasing Transformations ""; ""3.2. Decreasing Transformations ""; ""3.3. Examples ""; ""3.4. Transformations and Norms ""; ""Chapter 4. Upper Estimates for Entropy Numbers""; ""4.1. A General Bound Based on Partitions""; ""4.2. Proof of Theorem 2.2 (1)""; ""4.3. Proof of Parts (2) and (3) in Theorem 2.2""; ""4.4. Entropy Estimates for T[sub(p,Î?)]""; ""4.5. Proof of Theorem 2.3""; ""4.6. Upper Bounds for Forward Integration Operators""; ""4.7. Proof of Theorem 4.9"" |
""7.1. Gaussian Processes and Metric Entropy""""7.2. Weighted Wiener Processes""; ""7.3. Small Ball Estimates for Wiener Processes""; ""7.4. Exact Small Ball Estimates""; ""Appendix""; ""Bibliography"" |
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