Theory of Functions of a Real Variable
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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...
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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.
- Format:Paperback
- Pages:393 pages
- Publication:2009
- Publisher:Orange Grove Texts Plus
- Edition:
- Language:
- ISBN10:1616100788
- ISBN13:9781616100780
- kindle Asin:1616100788
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