{"product_id":"lecture-notes-in-mathematics-9783319924175","title":"Lecture Notes in Mathematics","description":"\u003cp\u003eThe subject of this book stands at the crossroads of ergodic theory and measurable dynamics. With an emphasis on irreversible systems, the text presents a framework of multi-resolutions tailored for the study of endomorphisms, beginning with a systematic look at the latter. This entails a whole new set of tools, often quite different from those used for the \u0026amp;quote;easier\u0026amp;quote; and well-documented case of automorphisms. Among them is the construction of a family of positive operators (transfer operators), arising naturally as a dual picture to that of endomorphisms. The setting (close to one initiated by S. Karlin in the context of stochastic processes) is motivated by a number of recent applications, including wavelets, multi-resolution analyses, dissipative dynamical systems, and quantum theory.      The automorphism-endomorphism relationship has parallels in operator theory, where the distinction is between unitary operators in Hilbert space and more general classesof operators such as contractions. There is also a non-commutative version: While the study of automorphisms of von Neumann algebras dates back to von Neumann, the systematic study of their endomorphisms is more recent; together with the results in the main text, the book includes a review of recent related research papers, some by the co-authors and their collaborators.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52911233007895,"sku":null,"price":4722.86,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783319924175.jpg?v=1781263861","url":"https:\/\/payment.letskitaboo.com\/ur\/products\/lecture-notes-in-mathematics-9783319924175","provider":"Kitaboo One eStore","version":"1.0","type":"link"}