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A Primer On The Dirichlet Space Omar El-fallah Universite Mohammed V-agdal, Rabat, Morocco by Omar El-Fallah, Karim Kellay, Javad Mashreghi, Thomas Ransford is a nonfiction available to read on EtoBox.
What is A Primer On The Dirichlet Space Omar El-fallah Universite Mohammed V-agdal, Rabat, Morocco about?
Annotation 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
Who reads A Primer On The Dirichlet Space Omar El-fallah Universite Mohammed V-agdal, Rabat, Morocco?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Omar El-Fallah, Karim Kellay, Javad Mashreghi, Thomas Ransford
- Publisher
- Cambridge University Press (Virtual Publishing)
- Published
- 2014
- Language
- EN
- ISBN
- 9781306459310
- Category
- nonfiction
- Subjects
- Mathematics, Poetry, American Poetry
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