A Primer on the Dirichlet Space (Cambridge Tracts in Mathematics, Series Number 203) free ebook download.

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A Primer on the Dirichlet Space (Cambridge Tracts in Mathematics, Series Number 203) free ebook download

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Mathematics

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Date:	2021	Format:	pdf	Language:	English	ISBN/ASIN:	1107047528
Pages:	226	OCR:		Quality:		ISBN13:
Uploader:	alex21s	Upload Date:	12/31/2022 6:11:44 AM

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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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3164628	Book	https://rapidgator.net/file/90e7b36b8ed8...		0.00	alex21s

Tags: Cambridge Dirichlet Mathematics Number Primer Space Tracts

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