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Theory of Functions of a Real Variable

af Shlomo Sternberg
Theory of Functions of a Real Variable af Shlomo Sternberg
Bag om Theory of Functions of a Real Variable

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.

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  • Sprog:
  • Engelsk
  • ISBN:
  • 9781616100780
  • Indbinding:
  • Paperback
  • Sideantal:
  • 393
  • Udgivet:
  • 24. september 2009
  • Størrelse:
  • 216x279x21 mm.
  • Vægt:
  • 912 g.
  • 8-11 hverdage.
  • 30. januar 2025
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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.

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