{"title":"Análise Matemática","description":null,"products":[{"product_id":"the-ergodic-theory-of-lattice-subgroups","title":"The Ergodic Theory of Lattice Subgroups","description":"\u003cp\u003eThe results established in this book constitute a new departure in ergodic theory and a significant expansion of its scope. Traditional ergodic theorems focused on amenable groups, and relied on the existence of an asymptotically invariant sequence in the group, the resulting maximal inequalities based on covering arguments, and the transference principle. Here, Alexander Gorodnik and Amos Nevo develop a systematic general approach to the proof of ergodic theorems for a large class of non-amenable locally compact groups and their lattice subgroups. Simple general conditions on the spectral theory of the group and the regularity of the averaging sets are formulated, which suffice to guarantee convergence to the ergodic mean. In particular, this approach gives a complete solution to the problem of establishing mean and pointwise ergodic theorems for the natural averages on semisimple algebraic groups and on their discrete lattice subgroups. Furthermore, an explicit quantitative rate of convergence to the ergodic mean is established in many cases.\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e The topic of this volume lies at the intersection of several mathematical fields of fundamental importance. These include ergodic theory and dynamics of non-amenable groups, harmonic analysis on semisimple algebraic groups and their homogeneous spaces, quantitative non-Euclidean lattice point counting problems and their application to number theory, as well as equidistribution and non-commutative Diophantine approximation. Many examples and applications are provided in the text, demonstrating the usefulness of the results established.\u003c\/p\u003e","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":52641051574639,"sku":"9780691141855","price":377.19,"currency_code":"BRL","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0921\/9384\/9711\/files\/0691141851.jpg?v=1770404829"},{"product_id":"estimates-of-the-neumann-problem-mn-19-volume-19","title":"Estimates of the Neumann Problem. (MN-19), Volume 19","description":"\u003cp\u003eThe ?¯ Neumann problem is probably the most important and natural example of a non-elliptic boundary value problem, arising as it does from the Cauchy-Riemann equations. It has been known for some time how to prove solvability and regularity by the use of \u003ci\u003eL2\u003c\/i\u003e methods. In this monograph the authors apply recent methods involving the Heisenberg group to obtain parametricies and to give sharp estimates in various function spaces, leading to a better understanding of the ?¯ Neumann problem. The authors have added substantial background material to make the monograph more accessible to students.\u003cbr\u003e\u003cbr\u003eOriginally published in 1977.\u003cbr\u003e\u003cbr\u003eThe \u003cb\u003ePrinceton Legacy Library\u003c\/b\u003e uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.\u003c\/p\u003e","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":52641080279407,"sku":"9780691616575","price":308.49,"currency_code":"BRL","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0921\/9384\/9711\/files\/0691616574.jpg?v=1770405808"},{"product_id":"lectures-on-pseudo-differential-operators","title":"Lectures on Pseudo-Differential Operators","description":"\u003cp\u003eThe theory of pseudo-differential operators (which originated as singular integral operators) was largely influenced by its application to function theory in one complex variable and regularity properties of solutions of elliptic partial differential equations. Given here is an exposition of some new classes of pseudo-differential operators relevant to several complex variables and certain non-elliptic problems.\u003cbr\u003e\u003cbr\u003eOriginally published in 1979.\u003cbr\u003e\u003cbr\u003eThe \u003cb\u003ePrinceton Legacy Library\u003c\/b\u003e uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.\u003c\/p\u003e","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":52641091977583,"sku":"9780691601090","price":252.8,"currency_code":"BRL","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0921\/9384\/9711\/files\/0691601097.jpg?v=1770406000"},{"product_id":"positive-definite-matrices","title":"Positive Definite Matrices","description":"\u003cp\u003eThis book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in noncommutative analysis as positive real numbers do in classical analysis. They have theoretical and computational uses across a broad spectrum of disciplines, including calculus, electrical engineering, statistics, physics, numerical analysis, quantum information theory, and geometry. Through detailed explanations and an authoritative and inspiring writing style, Rajendra Bhatia carefully develops general techniques that have wide applications in the study of such matrices.\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e Bhatia introduces several key topics in functional analysis, operator theory, harmonic analysis, and differential geometry--all built around the central theme of positive definite matrices. He discusses positive and completely positive linear maps, and presents major theorems with simple and direct proofs. He examines matrix means and their applications, and shows how to use positive definite functions to derive operator inequalities that he and others proved in recent years. He guides the reader through the differential geometry of the manifold of positive definite matrices, and explains recent work on the geometric mean of several matrices.\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e \u003ci\u003ePositive Definite Matrices\u003c\/i\u003e is an informative and useful reference book for mathematicians and other researchers and practitioners. The numerous exercises and notes at the end of each chapter also make it the ideal textbook for graduate-level courses.\u003c\/p\u003e","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":52649696035183,"sku":"9780691168258","price":299.75,"currency_code":"BRL","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0921\/9384\/9711\/files\/0691168253.jpg?v=1770663127"}],"url":"https:\/\/internacional.umlivro.com.br\/collections\/analise-matematica.oembed","provider":"UmLivro Internacional","version":"1.0","type":"link"}