This text is for a beginning graduate course in real variables and functional analysis. It assumes that the student has seen the basics of real variable theory and point set topology. Contents: 1) The topology of metric spaces. 2) Hilbert Spaces and Compact operators. 3) The Fourier Transform. 4) Measure theory. 5) The Lebesgue integral. 6) The Daniell integral. 7) Wiener measure, Brownian motion and white noise. 8) Haar measure. 9) Banach algebras and the spectral theorem. 10) The spectral theorem. 11) Stone's theorem. 12) More about the spectral theorem. 13) Scattering theory.
About Professor Shlomo Sternberg
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Author  :  Professor Shlomo Sternberg 
Publisher  :  Orange Grove Books 
Data Published  :  15 September 2009 
ISBN  :  1616100788 
EAN  :  9781616100780 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  394 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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