1.

Record Nr.

UNINA9910788846403321

Autore

Lifshit͡s M. A (Mikhail Anatolʹevich), <1956->

Titolo

Approximation and entropy numbers of Volterra operators with application to Brownian motion / / Mikhail A. Lifshits, Werner Linde

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 2002

ISBN

1-4704-0338-2

Descrizione fisica

1 online resource (103 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 745

Disciplina

510 s

515/.723

Soggetti

Volterra operators

Entropy (Information theory)

Brownian motion processes

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Volume 157, number 745 (first of 5 numbers)."

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""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""