Theory of Functions of a Real Variable (Paperback) (ISBN-13: 9781616100780)

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.

Author: Shlomo Sternberg
ISBN-10: 1616100788
ISBN-13: 9781616100780
Publisher: Orange Grove Texts Plus
Language: English
Published: 09/24/2009
Pages: 393
Format: Paperback
Weight: 2.01lbs
Size: 11.00h x 8.50w x 0.81d