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101 0 $aeng
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181   $ctxt
182   $cc
183   $acr
200 10$aApproximation and entropy numbers of Volterra operators with application to Brownian motion /$fMikhail A. Lifshits, Werner Linde
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2002.
215   $a1 online resource (103 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 745
300   $a"Volume 157, number 745 (first of 5 numbers)."
311   $a0-8218-2791-X 
320   $aIncludes bibliographical references.
327   $a""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,I??)]""; ""4.5. Proof of Theorem 2.3""; ""4.6. Upper Bounds for Forward Integration Operators""; ""4.7. Proof of Theorem 4.9""
327   $a""7.1. Gaussian Processes and Metric Entropy""""7.2. Weighted Wiener Processes""; ""7.3. Small Ball Estimates for Wiener Processes""; ""7.4. Exact Small Ball Estimates""; ""Appendix""; ""Bibliography""
410  0$aMemoirs of the American Mathematical Society ;$vno. 745.
606   $aVolterra operators
606   $aEntropy (Information theory)
606   $aBrownian motion processes
615  0$aVolterra operators.
615  0$aEntropy (Information theory)
615  0$aBrownian motion processes.
676   $a510 s
676   $a515/.723
700   $aLifshit?s$b M. A$g(Mikhail Anatol?evich),$f1956-$062305
702   $aLinde$b Werner$f1947-
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910818013603321
996   $aApproximation and entropy numbers of Volterra operators with application to Brownian motion$94095794
997   $aUNINA