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Choice sequences : a chapter of intuitionistic mathematics
Author:
ISBN: 019853163X 9780198531630 Year: 1977 Publisher: Oxford [etc.] : Oxford University Press,


Book
Harmonic and spectral analysis
Author:
ISBN: 9814531723 9789814531726 9789814531719 9814531715 Year: 2014 Publisher: [Hackensack] New Jersey

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Abstract

This book provides a modern introduction to harmonic analysis and synthesis on topological groups. It serves as a guide to the abstract theory of Fourier transformation. For the first time, it presents a detailed account of the theory of classical harmonic analysis together with the recent developments in spectral analysis and synthesis. Sample Chapter(s). Chapter 1: Duality of Finite Abelian Groups (254 KB). Contents: Abstract Harmonic Analysis: Duality of Finite Abelian Groups; Harmonic Analysis on Finite Abelian Groups; Set Theory and Topology; Invariant Means on Abelian Groups; Duality of

Automatic sequences : theory, applications, generalizations
Authors: ---
ISBN: 9780521823326 0521823323 9780511546563 Year: 2003 Publisher: Cambridge : Cambridge University Press,


Book
Sequences and series in Banach spaces
Author:
ISBN: 0387908595 3540908595 1461297346 1461252008 9780387908595 Year: 1984 Volume: 92 Publisher: New York, NY ; Berlin ; Heidelberg ; Tokyo : Springer-Verlag,

Substitutions in dynamics, arithmetics and combinatorics
Author:
ISSN: 00758434 ISBN: 3540441417 3540457143 9783540441410 Year: 2002 Volume: 1794 Publisher: Berlin : Springer,

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Abstract

A certain category of infinite strings of letters on a finite alphabet is presented here, chosen among the 'simplest' possible one may build, both because they are very deterministic and because they are built by simple rules (a letter is replaced by a word, a sequence is produced by iteration). These substitutive sequences have a surprisingly rich structure. The authors describe the concepts of quantity of natural interactions, with combinatorics on words, ergodic theory, linear algebra, spectral theory, geometry of tilings, theoretical computer science, diophantine approximation, trancendence, graph theory. This volume fulfils the need for a reference on the basic definitions and theorems, as well as for a state-of-the-art survey of the more difficult and unsolved problems.

Keywords

Rewriting systems (Computer science) --- Combinatorial analysis. --- Computational Complexity. --- Combinatorial analysis --- Computational complexity --- Algebra --- Mathematical Theory --- Mathematics --- Physical Sciences & Mathematics --- Computational complexity. --- Number theory. --- Functions of real variables. --- Dynamics. --- Ergodic theory. --- Sequences (Mathematics). --- Computers. --- Mathematical logic. --- Number Theory. --- Real Functions. --- Dynamical Systems and Ergodic Theory. --- Sequences, Series, Summability. --- Computation by Abstract Devices. --- Mathematical Logic and Formal Languages. --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Computer systems --- Cybernetics --- Machine theory --- Calculators --- Cyberspace --- Mathematical sequences --- Numerical sequences --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Real variables --- Functions of complex variables --- Number study --- Numbers, Theory of --- Analyse combinatoire --- Systèmes dynamiques --- Systèmes dynamiques --- Nombres, Théorie des

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