Introduction to functional analysis

2008/2009, sem. 2

Prof. Boris Tsirelson, School of Mathematical Sciences.
Time and place
Tuesday 12-13 Schreiber 007; Thursday 17-19 Schreiber 007.
Ronen Eldan
Introduction to Hilbert spaces and operator theory.

Lecture notes

  1. Fourier transform as a unitary equivalence
    PDF or Postscript.
    Correction: Corollary 1e4 is wrong (sorry); ignore it please.
  2. Functions of the differentiation operator
    PDF or Postscript.
  3. Self-adjoint operators (unbounded)
    PDF or Postscript.
  4. Distributions (generalized functions)
    PDF or Postscript.
  5. -
  6. Lebesgue integration (a summary)
    PDF or Postscript.

Some exams