Square Summable Power Series

Square Summable Power SeriesThis 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

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the distribution of primes

It was developed and tested at Purdue University over a period of five years in classes for advanced undergraduate and beginning graduate students in mathematics

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