Theory of Functions of a Real Variable
Shlomo Sternberg
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.
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.
Categories:
Year:
2005
Publisher:
Orange Grove Texts Plus
Language:
english
Pages:
393
ISBN 10:
1616100788
ISBN 13:
9781616100780
File:
PDF, 1.45 MB
IPFS:
,
english, 2005
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