Dirichlet Series And Holomorphic Functions In High Dimensions - Defant Andreas; García Domingo; Maestre Manuel; Sevilla-Peris Pablo | Libro Cambridge University Press 08/2019 - HOEPLI.it


home libri books ebook dvd e film top ten sconti 0 Carrello


Torna Indietro

defant andreas; garcía domingo; maestre manuel; sevilla-peris pablo - dirichlet series and holomorphic functions in high dimensions

Dirichlet Series and Holomorphic Functions in High Dimensions

; ; ;




Disponibilità: Normalmente disponibile in 10 giorni


PREZZO
188,98 €
NICEPRICE
160,63 €
SCONTO
15%



Questo prodotto usufruisce delle SPEDIZIONI GRATIS
selezionando l'opzione Corriere Veloce in fase di ordine.


Pagabile anche con App18 Bonus Cultura e Carta Docenti


Facebook Twitter Aggiungi commento


Spese Gratis

Dettagli

Genere:Libro
Lingua: Inglese
Pubblicazione: 08/2019





Note Editore

Over 100 years ago Harald Bohr identified a deep problem about the convergence of Dirichlet series, and introduced an ingenious idea relating Dirichlet series and holomorphic functions in high dimensions. Elaborating on this work, almost twnety years later Bohnenblust and Hille solved the problem posed by Bohr. In recent years there has been a substantial revival of interest in the research area opened up by these early contributions. This involves the intertwining of the classical work with modern functional analysis, harmonic analysis, infinite dimensional holomorphy and probability theory as well as analytic number theory. New challenging research problems have crystallized and been solved in recent decades. The goal of this book is to describe in detail some of the key elements of this new research area to a wide audience. The approach is based on three pillars: Dirichlet series, infinite dimensional holomorphy and harmonic analysis.




Sommario

Introduction; Part I. Bohr's Problem and Complex Analysis on Polydiscs: 1. The absolute convergence problem; 2. Holomorphic functions on polydiscs; 3. Bohr's vision; 4. Solution to the problem; 5. The Fourier analysis point of view; 6. Inequalities I; 7. Probabilistic tools I; 8. Multidimensional Bohr radii; 9. Strips under the microscope; 10. Monomial convergence of holomorphic functions; 11. Hardy spaces of Dirichlet series; 12. Bohr's problem in Hardy spaces; 13. Hardy spaces and holomorphy; Part II. Advanced Toolbox: 14. Selected topics on Banach space theory; 15. Infinite dimensional holomorphy; 16. Tensor products; 17. Probabilistic tools II; Part III. Replacing Polydiscs by Other Balls: 18. Hardy–Littlewood inequality; 19. Bohr radii in lp spaces and unconditionality; 20. Monomial convergence in Banach sequence spaces; 21. Dineen's problem; 22. Back to Bohr radii; Part IV. Vector-Valued Aspects: 23. Functions of one variable; 24. Vector-valued Hardy spaces; 25. Inequalities IV; 26. Bohr's problem for vector-valued Dirichlet series; References; List of symbols; Subject index.




Autore

Andreas Defant is Professor of Mathematics at Carl V. Ossietzky Universität Oldenburg, Germany.
Domingo García is Professor of Mathematics at Universitat de València, Spain.
Manuel Maestre is Full Professor of Mathematics at Universitat de València, Spain.
Pablo Sevilla-Peris is Associate Professor of Mathematics at Universitat Politècnica de València, Spain.







Altre Informazioni

ISBN:

9781108476713

Condizione: Nuovo
Collana: New Mathematical Monographs
Dimensioni: 234 x 42 x 157 mm Ø 1140 gr
Formato: Copertina rigida
Illustration Notes:3 b/w illus.
Pagine Arabe: 706






Utilizziamo i cookie di profilazione, anche di terze parti, per migliorare la navigazione, per fornire servizi e proporti pubblicità in linea con le tue preferenze. Se vuoi saperne di più o negare il consenso a tutti o ad alcuni cookie clicca qui. Chiudendo questo banner o proseguendo nella navigazione acconsenti all’uso dei cookie.

X