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  • Language: English
  • Binding: Hardcover
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Genre: Computers
  • ISBN: 9789814759236, 9789814759236
  • Pages: 412
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ABSTRACT METHODS IN INFORMATION THEORY Features & Specifications stand apart in the GPF : Information theory category. The details about ABSTRACT METHODS IN INFORMATION THEORY (SECOND EDITION)(English, Hardcover, Kakihara Yuichiro) are given below as well. Unboxing ABSTRACT METHODS IN INFORMATION THEORY specs Language: English, Binding: Hardcover, Publisher: World Scientific Publishing Co Pte Ltd, Genre: Computers, ISBN: 9789814759236, 9789814759236, Pages: 412, & more details are given below

Information Theory is studied from the following points of view: (1) the theory of entropy as amount of information; (2) the mathematical structure of information sources (probability measures); and (3) the theory of information channels. Shannon entropy and Kolmogorov-Sinai entropy are defined and their basic properties are examined, where the latter entropy is extended to be a linear functional on a certain set of measures. Ergodic and mixing properties of stationary sources are studied as well as AMS (asymptotically mean stationary) sources.The main purpose of this book is to present information channels in the environment of functional analysis and operator theory as well as probability theory. Ergodic, mixing, and AMS channels are also considered in detail with some illustrations. In this second edition, channel operators are studied in many aspects, which generalize ordinary channels. Also Gaussian channels are considered in detail together with Gaussian measures on a Hilbert space. The Special Topics chapter deals with features such as generalized capacity, channels with an intermediate noncommutative system, and von Neumann algebra method for channels. Finally, quantum (noncommutative) information channels are examined in an independent chapter, which may be regarded as an introduction to quantum information theory. Von Neumann entropy is introduced and its generalization to a C*-algebra setting is given. Basic results on quantum channels and entropy transmission are also considered.

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Book Details

Title ABSTRACT METHODS IN INFORMATION THEORY (SECOND EDITION)
Imprint World Scientific Publishing Co Pte Ltd
Product Form Hardcover
Publisher World Scientific Publishing Co Pte Ltd
Source ISBN 9789814759236
Genre Computers
ISBN13 9789814759236
Book Category Reference Books
BISAC Subject Heading COM031000
Book Subcategory Reference Books
ISBN10 9789814759236
Language English

Books Info

Language English
Binding Hardcover
Pages 412
Publisher World Scientific Publishing Co Pte Ltd
Year 0
Author Kakihara Yuichiro 

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