Download E-books The Theory of H(b) Spaces: Volume 1 (New Mathematical Monographs) PDF

By Emmanuel Fricain, Javad Mashreghi

An H(b) area is outlined as a set of analytic features that are within the photo of an operator. the speculation of H(b) areas bridges classical matters: complicated research and operator conception, which makes it either beautiful and significant. the 1st quantity of this entire therapy is dedicated to the initial matters required to appreciate the root of H(b) areas, resembling Hardy areas, Fourier research, crucial illustration theorems, Carleson measures, Toeplitz and Hankel operators, a number of kinds of shift operators, and Clark measures. the second one quantity makes a speciality of the vital conception. either books are available to graduate scholars in addition to researchers: every one quantity includes quite a few workouts and tricks, and figures are incorporated all through to demonstrate the speculation. jointly, those volumes offer every little thing the reader must comprehend and relish this gorgeous department of arithmetic.

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