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portada A Primer on the Dirichlet Space (Cambridge Tracts in Mathematics) (in English)
Type
Physical Book
Year
2014
Language
English
Pages
226
Format
Hardcover
ISBN13
9781107047525
Edition No.
1
Categories

A Primer on the Dirichlet Space (Cambridge Tracts in Mathematics) (in English)

Omar El-Fallah; Karim Kellay; Javad Mashreghi (Author) · Cambridge University Press · Hardcover

A Primer on the Dirichlet Space (Cambridge Tracts in Mathematics) (in English) - Omar El-Fallah; Karim Kellay; Javad Mashreghi

Physical Book

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Synopsis "A Primer on the Dirichlet Space (Cambridge Tracts in Mathematics) (in English)"

The Dirichlet space is one of the three fundamental Hilbert spaces of holomorphic functions on the unit disk. It boasts a rich and beautiful theory, yet at the same time remains a source of challenging open problems and a subject of active mathematical research. This book is the first systematic account of the Dirichlet space, assembling results previously only found in scattered research articles, and improving upon many of the proofs. Topics treated include: the Douglas and Carleson formulas for the Dirichlet integral, reproducing kernels, boundary behaviour and capacity, zero sets and uniqueness sets, multipliers, interpolation, Carleson measures, composition operators, local Dirichlet spaces, shift-invariant subspaces, and cyclicity. Special features include a self-contained treatment of capacity, including the strong-type inequality. The book will be valuable to researchers in function theory, and with over 100 exercises it is also suitable for self-study by graduate students.

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All books in our catalog are Original.
The book is written in English.
The binding of this edition is Hardcover.

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