A Primer on the Dirichlet Space (Cambridge Tracts in - download pdf or read online

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

ISBN-10: 1107047528

ISBN-13: 9781107047525

The Dirichlet area is among the 3 basic Hilbert areas of holomorphic capabilities at the unit disk. It boasts a wealthy and lovely conception, but whilst is still a resource of tough open difficulties and an issue of lively mathematical examine. This publication is the 1st systematic account of the Dirichlet house, assembling effects formerly simply present in scattered study articles, and enhancing upon a few of the proofs. subject matters handled contain: the Douglas and Carleson formulation for the Dirichlet imperative, reproducing kernels, boundary behaviour and capability, 0 units and forte units, multipliers, interpolation, Carleson measures, composition operators, neighborhood Dirichlet areas, shift-invariant subspaces, and cyclicity. unique gains comprise a self-contained therapy of skill, together with the strong-type inequality. The e-book should be worthy to researchers in functionality concept, and with over a hundred workouts it's also appropriate for self-study by means 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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