Square Summable Power Series

Nonfiction, Science & Nature, Mathematics
Cover of the book Square Summable Power Series by Louis de Branges, James Rovnyak, Dover Publications
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Author: Louis de Branges, James Rovnyak ISBN: 9780486801360
Publisher: Dover Publications Publication: December 8, 2014
Imprint: Dover Publications Language: English
Author: Louis de Branges, James Rovnyak
ISBN: 9780486801360
Publisher: Dover Publications
Publication: December 8, 2014
Imprint: Dover Publications
Language: English

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.

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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.

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