Omar El-Fallah,Karim Kellay,Javad Mashreghi,Thomas Ransford's A Primer on the Dirichlet Space (Cambridge Tracts in PDF

By Omar El-Fallah,Karim Kellay,Javad Mashreghi,Thomas Ransford

The Dirichlet area is likely one of the 3 basic Hilbert areas of holomorphic capabilities at the unit disk. It boasts a wealthy and gorgeous concept, but even as continues to be a resource of difficult open difficulties and an issue of energetic mathematical examine. This e-book is the 1st systematic account of the Dirichlet house, assembling effects formerly merely present in scattered examine articles, and bettering upon a number of the proofs. themes handled contain: the Douglas and Carleson formulation for the Dirichlet necessary, reproducing kernels, boundary behaviour and potential, 0 units and specialty units, multipliers, interpolation, Carleson measures, composition operators, neighborhood Dirichlet areas, shift-invariant subspaces, and cyclicity. unique gains contain a self-contained therapy of potential, together with the strong-type inequality. The ebook should be useful to researchers in functionality concept, and with over a hundred routines it's also compatible for self-study by way of graduate students.

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A Primer on the Dirichlet Space (Cambridge Tracts in Mathematics) by Omar El-Fallah,Karim Kellay,Javad Mashreghi,Thomas Ransford


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