000			02473nam a22003137a 4500
999			_c58540 _d58540
005			20211206112823.0
008			211026b ||||| |||| 00| 0 eng d
020			_a9780486789996
028			_a:Variety Books Publishers & Distributors _b:B-10 Street No 2 West Vinod Nagar Delhi 110092 _c:IM2885 _d:25/09/2021
082			_a517.8 BRA
100			_aBranges, Louis de
245			_aSquare Summable Power Series _c/ Louis De Branges
260			_aNew York _b: Dover Publications, _c2015
300			_aviii, 104p. _c24cm.
365			_b1009
490			_aDover books on mathematics.
505			_a 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.
520			_a 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.
650			_aMathematics
650			_aAnalytic functions.
650			_aPower series.
650			_aSummability theory.
650			_aMathematics -- Complex Analysis.
650			_aMathematics -- Calculus.
650			_aMathematical Analysis.
700			_aBranges, Louis de
700			_aRovnyak, James
942			_cBOOK