Get A Primer on the Dirichlet Space (Cambridge Tracts in PDF

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

The Dirichlet area is among the 3 basic Hilbert areas of holomorphic services at the unit disk. It boasts a wealthy and gorgeous concept, but even as is still a resource of not easy open difficulties and an issue of lively mathematical learn. This ebook is the 1st systematic account of the Dirichlet house, assembling effects formerly purely present in scattered study articles, and bettering upon some of the proofs. subject matters taken care of comprise: the Douglas and Carleson formulation for the Dirichlet critical, reproducing kernels, boundary behaviour and ability, 0 units and distinctiveness units, multipliers, interpolation, Carleson measures, composition operators, neighborhood Dirichlet areas, shift-invariant subspaces, and cyclicity. designated good points comprise a self-contained remedy of ability, together with the strong-type inequality. The ebook can be useful to researchers in functionality idea, and with over a hundred workouts it's also appropriate 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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