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Diophantine Approximation and Dirichlet Series (Paperback, 2nd ed. 2020): Herve Queffelec, Martine Queffelec Diophantine Approximation and Dirichlet Series (Paperback, 2nd ed. 2020)
Herve Queffelec, Martine Queffelec
R3,369 Discovery Miles 33 690 Ships in 10 - 15 working days

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.

Introduction to Banach Spaces: Analysis and Probability (Hardcover): Daniel Li, Herve Queffelec Introduction to Banach Spaces: Analysis and Probability (Hardcover)
Daniel Li, Herve Queffelec; Translated by Daniele Gibbons, Greg Gibbons
R2,776 Discovery Miles 27 760 Ships in 12 - 19 working days

This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. Four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition.

Introduction to Banach Spaces: Analysis and Probability: Volume 1 (Hardcover): Daniel Li, Herve Queffelec Introduction to Banach Spaces: Analysis and Probability: Volume 1 (Hardcover)
Daniel Li, Herve Queffelec; Translated by Daniele Gibbons, Greg Gibbons
R2,783 Discovery Miles 27 830 Ships in 12 - 19 working days

This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. In volume 2, four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition.

Introduction to Banach Spaces: Analysis and Probability 2 Volume Hardback Set (Series Numbers 166-167) (Hardcover): Daniel Li,... Introduction to Banach Spaces: Analysis and Probability 2 Volume Hardback Set (Series Numbers 166-167) (Hardcover)
Daniel Li, Herve Queffelec; Translated by Daniele Gibbons, Greg Gibbons
R4,654 Discovery Miles 46 540 Ships in 12 - 19 working days

This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. In volume 2, four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition.

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