Téléchargez le livre : Diophantine Approximation and Dirichlet Series

Diophantine Approximation and Dirichlet Series

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Springer


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Texts and Readings in Mathematics

Paru le : 2021-01-27

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Description
The second edition of the book includes a new chapter on the study of composition operators on the Hardy space and their complete characterization by Gordon and Hedenmalm. The book is devoted to Diophantine approximation, the analytic theory of Dirichlet series and their composition operators, and connections between these two domains which often occur through the Kronecker approximation theorem and the Bohr lift. The book initially discusses Harmonic analysis, including a sharp form of the uncertainty principle, Ergodic theory and Diophantine approximation, basics on continued fractions expansions, and the mixing property of the Gauss map and goes on to present the general theory of Dirichlet series with classes of examples connected to continued fractions, Bohr lift, sharp forms of the Bohnenblust–Hille theorem, Hardy–Dirichlet spaces, composition operators of the Hardy–Dirichlet space, and much more. Proofs throughout the book mix Hilbertian geometry, complex and harmonic analysis,number theory, and ergodic theory, featuring the richness of analytic theory of Dirichlet series. This self-contained book benefits beginners as well as researchers.

 
 
 
 
Pages
287 pages
Collection
Texts and Readings in Mathematics
Parution
2021-01-27
Marque
Springer
EAN papier
9789811593505
EAN PDF
9789811593512
Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
28
Taille du fichier
4035 Ko
Prix
116,04 €
EAN EPUB
9789811593512
Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
28
Taille du fichier
24965 Ko
Prix
116,04 €

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