"Probability & Measure Theory" by Robert B. Ash, Catherine A. DoléansDadeAuthor: exLib Date: 20110816 07:55:56 "Probability & Measure Theory" by Robert B. Ash, Catherine A. DoléansDade Second Edition Асаdеmiс Рrеss  1999  ISBN: 0120652021 9780120652020  532 pages  PDF/djvu  7/3 MB This is a text for a graduatelevel course in probability that includes essential background topics in analysis. It provides extensive coverage of conditional probability and expectation, strong laws of large numbers, martingale theory, the central limit theorem, ergodic theory, and Brownian motion. Lectures on Analysis, Volume 3: Infinite Dimensional Measures and Problem SolutionsAuthor: lout Date: 20110623 15:45:41 Lectures on Analysis, Volume 3: Infinite Dimensional Measures and Problem Solutions By Gustave Choquet, Jerrold E. Marsden, etc. Publisher: W.A. Benjamin Inc. 1976  330 Pages  ISBN: 0805369597  DJVU  1 MB Measure Theory and IntegrationAuthor: advisors Date: 20130316 14:25:45 Classification Problems in Ergodic TheoryAuthor: tot167 Date: 20100605 02:59:08 William Parry, Selim Tuncel, "Classification Problems in Ergodic Theory" Cambridge University Press  1982  ISBN: 0521287944, 0511629389  112 pages  PDF  1,1 MB Lectures on Quantum Theory: Mathematical and Structural FoundationsAuthor: Jeterro Date: 20090419 09:53:04 Lectures on Quantum Theory: Mathematical and Structural Foundations World Scientific Publishing Company  ISBN: 1860940005  1995  220 pages  PDF  9.88Mb Based on material taught to finalyear students of theoretical physics, this is an introduction to the essentials of vector spaces and linear operators. It builds bridges between the concepts and mathematics of classical physics, and the mathematical framework employed in quantum mechanics. The axioms of nonrelativistic quantum theory are introduced, and shown to lead to a variety of new conceptual problems. Subjects discussed include statevector reduction, the problem of measurement, quantum entanglement, the KochenSpecker theorem, and the Bell inequalities. The book includes 25 problems with worked solutions. 

Young Measures and Compactness in Measure SpacesAuthor: interes Date: 20131230 09:53:27 Young Measures and Compactness in Measure Spaces by Christiane GodetThobie and Liviu C. Florescu English  2012  ISBN: 3110276402  318 pages  PDF  2,3 MB In recent years, technological progress created a great need for complex mathematical models. Many practical problems can be formulated using optimization theory and they hope to obtain an optimal solution. Discrete Groups, Expanding Graphs and Invariant Measures: Appendix by Jonathan D. Rogawski by Alex Lubotzky (Repost)Author: tvladb Date: 20120918 19:42:42 Discrete Groups, Expanding Graphs and Invariant Measures: Appendix by Jonathan D. Rogawski by Alex Lubotzky (Repost) Publisher: Birkhäuser Basel; 1st ed. 1994 Second Ed. (November 23, 2009)  ISBN: 3034603312  Pages: 208  PDF  1.67 MB The book presents the solutions to two problems: the first is the construction of expanding graphs – graphs which are of fundamental importance for communication networks and computer science; the second is the Ruziewicz problem concerning the finitely additive invariant measures on spheres. Both problems were partially solved using the Kazhdan property (T) from representation theory of semisimple Lie groups. Measure, Integration and Functional AnalysisAuthor: tot167 Date: 20100524 04:39:13 Robert B. Ash, "Measure, Integration and Functional Analysis" Academic Inc  1972  ISBN: 0120652609  284 pages  PDF  4,3 MB Discrete Groups, Expanding Graphs and Invariant MeasuresAuthor: tot167 Date: 20080610 06:02:00 Alexander Lubotzky “Discrete Groups, Expanding Graphs and Invariant Measures" Birkhäuser Basel  19940801  ISBN: 376435075X  196 pages  PDF  8,7 MB An Invitation to Operator Theory (repost)Author: interes Date: 20130322 14:46:19 An Invitation to Operator Theory By Y. A. Abramovich, Charalambos D. Aliprantis English  2002  530 Pages  ISBN: 0821821466  DJVU  5,2 MB This book offers a comprehensive and readerfriendly exposition of the theory of linear operators on Banach spaces and Banach lattices using their topological and order structures and properties. Abramovich and Aliprantis give a unique presentation that includes many new and very recent developments in operator theory and also draws together results which are spread over the vast literature. For instance, invariant subspaces of positive operators and the Daugavet equation are presented in monograph form for the first time. 
