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  1. Newsgroups: sci.math
  2. Path: sparky!uunet!spool.mu.edu!sol.ctr.columbia.edu!eff!snorkelwacker.mit.edu!galois!riesz!jbaez
  3. From: jbaez@riesz.mit.edu (John C. Baez)
  4. Subject: Re: Lebesgue integral (was: Couple of questions
  5. Message-ID: <1992Sep10.173619.24343@galois.mit.edu>
  6. Sender: news@galois.mit.edu
  7. Nntp-Posting-Host: riesz
  8. Organization: MIT Department of Mathematics, Cambridge, MA
  9. References: <1992Sep9.102457.15049@news.columbia.edu> <1992Sep9.174910.12677@galois.mit.edu> <18neu6INN32k@function.mps.ohio-state.edu>
  10. Date: Thu, 10 Sep 92 17:36:19 GMT
  11. Lines: 7
  12.  
  13. In article <18neu6INN32k@function.mps.ohio-state.edu> edgar@function.mps.ohio-state.edu (Gerald Edgar) writes:
  14.  
  15. >I have been told that the Lebesgue integral is not needed in physics--
  16. >presumably Riemann integral is enough.  Do you agree?
  17.  
  18. Last I heard, the Hilbert space of a free particle was L^2(R^3), the
  19. space of all functions whose absolute value squared is LEBSEGUE integrable.
  20.