A Primer on the Dirichlet Space

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Mathematical Analysis
Cover of the book A Primer on the Dirichlet Space by Omar El-Fallah, Karim Kellay, Javad Mashreghi, Thomas Ransford, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Omar El-Fallah, Karim Kellay, Javad Mashreghi, Thomas Ransford ISBN: 9781107721104
Publisher: Cambridge University Press Publication: January 16, 2014
Imprint: Cambridge University Press Language: English
Author: Omar El-Fallah, Karim Kellay, Javad Mashreghi, Thomas Ransford
ISBN: 9781107721104
Publisher: Cambridge University Press
Publication: January 16, 2014
Imprint: Cambridge University Press
Language: 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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Cambridge University Press

Cover of the book Israel's Security Networks by Omar El-Fallah, Karim Kellay, Javad Mashreghi, Thomas Ransford
Cover of the book How Capitalism Was Built by Omar El-Fallah, Karim Kellay, Javad Mashreghi, Thomas Ransford
Cover of the book Spouted and Spout-Fluid Beds by Omar El-Fallah, Karim Kellay, Javad Mashreghi, Thomas Ransford
Cover of the book Bishops, Clerks, and Diocesan Governance in Thirteenth-Century England by Omar El-Fallah, Karim Kellay, Javad Mashreghi, Thomas Ransford
Cover of the book Big Crisis Data by Omar El-Fallah, Karim Kellay, Javad Mashreghi, Thomas Ransford
Cover of the book Optical Magnetometry by Omar El-Fallah, Karim Kellay, Javad Mashreghi, Thomas Ransford
Cover of the book Gynaecological Oncology for the MRCOG by Omar El-Fallah, Karim Kellay, Javad Mashreghi, Thomas Ransford
Cover of the book Decentralization and Subnational Politics in Latin America by Omar El-Fallah, Karim Kellay, Javad Mashreghi, Thomas Ransford
Cover of the book Birthright Citizens by Omar El-Fallah, Karim Kellay, Javad Mashreghi, Thomas Ransford
Cover of the book Smart Grid (R)Evolution by Omar El-Fallah, Karim Kellay, Javad Mashreghi, Thomas Ransford
Cover of the book An Introduction to Modern Japanese: Volume 1, Grammar Lessons by Omar El-Fallah, Karim Kellay, Javad Mashreghi, Thomas Ransford
Cover of the book Democracy and Authoritarianism in the Postcommunist World by Omar El-Fallah, Karim Kellay, Javad Mashreghi, Thomas Ransford
Cover of the book The Boreal Owl by Omar El-Fallah, Karim Kellay, Javad Mashreghi, Thomas Ransford
Cover of the book Semiconductor Nanolasers by Omar El-Fallah, Karim Kellay, Javad Mashreghi, Thomas Ransford
Cover of the book Gamma-ray Bursts by Omar El-Fallah, Karim Kellay, Javad Mashreghi, Thomas Ransford
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy