Substitution dynamical systems, spectral analysis. / / Martine Queffélec

• Record Nr.: UNISA996466496303316
• Autore: Queffélec Martine
• Pubbl/distr/stampa: Heidelberg, Germany ; ; New York, New York : , : Springer-Verlag, , [2010]; ©2010
• ISBN: 1-280-39165-0; 9786613569578; 3-642-11212-9
• Edizione: [2nd ed. 2010.]
• Descrizione fisica: 1 online resource (366 p.)
• Collana: Lecture notes in mathematics ; ; 1294
• Disciplina: 515/.39
• Soggetti: Spectral theory (Mathematics); Point mappings (Mathematics); Differentiable dynamical systems
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references (pages [335]-344) and index.
• Nota di contenuto: The 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.
• Sommario/riassunto: This 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.

Topological vector spaces / / Norbert Adasch, Bruno Ernst, Dieter Keim

• Record Nr.: UNISA996466535703316
• Autore: Adasch Norbert <1941->
• Pubbl/distr/stampa: Berlin : , : Springer-Verlag, , [1978]; ©1978
• ISBN: 3-540-35918-4
• Edizione: [1st ed. 1978.]
• Descrizione fisica: 1 online resource (VIII, 132 p.)
• Collana: Lecture notes in mathematics ; ; 639
• Disciplina: 515.73
• Soggetti: Linear topological spaces
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di contenuto: Strings and linear topologies -- Metrizable topological vector spaces -- Projective limits of topological vector spaces -- Inductive limits of topological vector spaces -- Topological direct sums, strict inductive limits -- Barrelled topological vector spaces -- The Banach-steinhaus theorem -- Barrelled spaces and the closed graph theorem -- Barrelled spaces and the open mapping theorem -- Completeness and the closed graph theorem -- Bornological spaces -- Spaces of continuous linear mappings and their completion -- Quasibarrelled spaces -- Boundedly summing spaces -- Locally topological spaces -- Spaces with an absorbing sequence -- ?-locally topological spaces -- (DF)-spaces and spaces with a fundamental sequence of compact sets -- Some examples and counter examples.