Branges, Louis de creator Branges, Louis de Rovnyak, James text New York : Dover Publications 2015 monographic eng

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viii, 104p. 24cm. This text for advanced undergraduate and graduate students introduces Hilbert space and analytic function theory, which is centered around the invariant subspace concept. The book's principal feature is the extensive use of formal power series methods to obtain and sometimes reformulate results of analytic function theory. The presentation is elementary in that it requires little previous knowledge of analysis, but it is designed to lead students to an advanced level of performance. This is achieved chiefly through the use of problems, many of which were proposed by former students. The book's tried-and-true approach was developed from the authors' lecture notes on courses taught at Lafayette College, Bryn Mawr College, and Purdue University. This text for advanced undergraduate and graduate students introduces Hilbert space and analytic function theory, which is centered around the invariant subspace concept. The book's principal feature is the extensive use of formal power series methods to obtain and sometimes reformulate results of analytic function theory. The presentation is elementary in that it requires little previous knowledge of analysis, but it is designed to lead students to an advanced level of performance. This is achieved chiefly through the use of problems, many of which were proposed by former students. The book's tried-and-true approach was developed from the authors' lecture notes on courses taught at Lafayette College, Bryn Mawr College, and Purdue University. / Louis De Branges Mathematics Analytic functions Power series Summability theory Mathematics -- Complex Analysis Mathematics -- Calculus Mathematical Analysis 517.8 BRA 9780486789996 :Variety Books Publishers & Distributors :B-10 Street No 2 West Vinod Nagar Delhi 110092 211026 20211206112823.0