Description
A Comprehensive Course in Analysis by Poincare Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis.
Part 4 focuses on operator theory, especially on a Hilbert space. Central topics are the spectral theorem, the theory of trace class and Fredholm determinants, and the study of unbounded self-adjoint operators. There is also an introduction to the theory of orthogonal polynomials and a long chapter on Banach algebras, including the commutative and non-commutative Gel'fand-Naimark theorems and Fourier analysis on general locally compact abelian groups.
About the Author
Barry Simon, California Institute of Technology, Pasadena, CA, USA.
Book Information
ISBN 9781470411039
Author Barry Simon
Format Hardback
Page Count 749
Imprint American Mathematical Society
Publisher American Mathematical Society
Weight(grams) 1475g
Part 4 focuses on operator theory, especially on a Hilbert space. Central topics are the spectral theorem, the theory of trace class and Fredholm determinants, and the study of unbounded self-adjoint operators. There is also an introduction to the theory of orthogonal polynomials and a long chapter on Banach algebras, including the commutative and non-commutative Gel'fand-Naimark theorems and Fourier analysis on general locally compact abelian groups.
About the Author
Barry Simon, California Institute of Technology, Pasadena, CA, USA.
Book Information
ISBN 9781470411039
Author Barry Simon
Format Hardback
Page Count 749
Imprint American Mathematical Society
Publisher American Mathematical Society
Weight(grams) 1475g
