000 | 04062nam a22005655i 4500 | ||
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001 | 978-3-642-11212-6 | ||
003 | DE-He213 | ||
005 | 20190213151047.0 | ||
007 | cr nn 008mamaa | ||
008 | 100715s2010 gw | s |||| 0|eng d | ||
020 |
_a9783642112126 _9978-3-642-11212-6 |
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024 | 7 |
_a10.1007/978-3-642-11212-6 _2doi |
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_aPBK _2bicssc |
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_aMAT034000 _2bisacsh |
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_aPBK _2thema |
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082 | 0 | 4 |
_a515 _223 |
100 | 1 |
_aQueffélec, Martine. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aSubstitution Dynamical Systems - Spectral Analysis _h[electronic resource] / _cby Martine Queffélec. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2010. |
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300 |
_aXV, 351 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1294 |
|
505 | 0 | _aThe Banach Algebra (T) -- Spectral Theory of Unitary Operators -- Spectral Theory of Dynamical Systems -- Dynamical Systems Associated with Sequences -- Dynamical Systems Arising from Substitutions -- Eigenvalues of Substitution Dynamical Systems -- Matrices of Measures -- Matrix Riesz Products -- Bijective Automata -- Maximal Spectral Type of General Automata -- Spectral Multiplicity of General Automata -- Compact Automata. | |
520 | _aThis volume mainly deals with the dynamics of finitely valued sequences, and more specifically, of sequences generated by substitutions and automata. Those sequences demonstrate fairly simple combinatorical and arithmetical properties and naturally appear in various domains. As the title suggests, the aim of the initial version of this book was the spectral study of the associated dynamical systems: the first chapters consisted in a detailed introduction to the mathematical notions involved, and the description of the spectral invariants followed in the closing chapters. This approach, combined with new material added to the new edition, results in a nearly self-contained book on the subject. New tools - which have also proven helpful in other contexts - had to be developed for this study. Moreover, its findings can be concretely applied, the method providing an algorithm to exhibit the spectral measures and the spectral multiplicity, as is demonstrated in several examples. Beyond this advanced analysis, many readers will benefit from the introductory chapters on the spectral theory of dynamical systems; others will find complements on the spectral study of bounded sequences; finally, a very basic presentation of substitutions, together with some recent findings and questions, rounds out the book. | ||
650 | 0 | _aGlobal analysis (Mathematics). | |
650 | 0 | _aDifferentiable dynamical systems. | |
650 | 0 | _aFourier analysis. | |
650 | 0 | _aNumber theory. | |
650 | 0 | _aMathematics. | |
650 | 0 | _aOperator theory. | |
650 | 1 | 4 |
_aAnalysis. _0http://scigraph.springernature.com/things/product-market-codes/M12007 |
650 | 2 | 4 |
_aDynamical Systems and Ergodic Theory. _0http://scigraph.springernature.com/things/product-market-codes/M1204X |
650 | 2 | 4 |
_aFourier Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M12058 |
650 | 2 | 4 |
_aNumber Theory. _0http://scigraph.springernature.com/things/product-market-codes/M25001 |
650 | 2 | 4 |
_aMeasure and Integration. _0http://scigraph.springernature.com/things/product-market-codes/M12120 |
650 | 2 | 4 |
_aOperator Theory. _0http://scigraph.springernature.com/things/product-market-codes/M12139 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783642112553 |
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_iPrinted edition: _z9783642112119 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1294 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-642-11212-6 |
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