Christopher E. Heil

• Office Hours: N/A.
  
  
• Course Syllabus
  
  
• Some related supplementary materials:
  • General Reading List
  • Short Reviews:
    • Lebesgue measure
    • Banach and Hilbert spaces
  • Long Reviews:
    • Metrics, norms, inner products, and topology
    • Lebesgue measure
    • Operator theory and functional analysis (incomplete)
    • Borel and Radon measures on the real line (abstract measure theory)
    • A Basis Theory Primer (Chapter 1 is a review of theorems from functional analysis)
  
  
  
• LECTURE NOTES:
  • Chapter 1: The Fourier transform on L^1.
    • Hints for selected exercises.
  • Chapter 2: The Fourier transform on L^2 (updated 9/13/06).
  • Chapter 3: Distibutions (updated 10/13/06).
    • Appendix: Details on topological vector spaces.
  • Chapter 4: Measures (updated 11/3/06).
  • Chapter 5: Time-frequency analysis (updated 11/17/06).
  • Chapter 6: Discrete time-frequency analysis (updated 12/4/06).
  
  
  
• HOMEWORK:
  • Homework 1 (due September 11, 2006; revised 9/6/06).
  • Homework 2 (due September 29, 2006).
  • Homework 3 (due October 25, 2006).
  • Homework 4 (due November 13, 2006).
  • Final Exam (due December 13, 2006).

  ---

  
  To contact me, please send email to:     h e i l @ m a t h . g a t e c h . e d u