02744nam 2200589 450 991081801360332120180613001302.01-4704-0338-2(CKB)3360000000464929(EBL)3114571(SSID)ssj0000910363(PQKBManifestationID)11500543(PQKBTitleCode)TC0000910363(PQKBWorkID)10941325(PQKB)10064247(MiAaPQ)EBC3114571(RPAM)12648098(PPN)195416317(EXLCZ)99336000000046492920020117d2002 uy| 0engur|n|---|||||txtccrApproximation and entropy numbers of Volterra operators with application to Brownian motion /Mikhail A. Lifshits, Werner LindeProvidence, Rhode Island :American Mathematical Society,2002.1 online resource (103 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 745"Volume 157, number 745 (first of 5 numbers)."0-8218-2791-X Includes bibliographical references.""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""Memoirs of the American Mathematical Society ;no. 745.Volterra operatorsEntropy (Information theory)Brownian motion processesVolterra operators.Entropy (Information theory)Brownian motion processes.510 s515/.723Lifshit͡s M. A(Mikhail Anatolʹevich),1956-62305Linde Werner1947-MiAaPQMiAaPQMiAaPQBOOK9910818013603321Approximation and entropy numbers of Volterra operators with application to Brownian motion4095794UNINA