MathOverflow is a question and answer site for professional mathematicians. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

Is there a recently published book on the Classical Moment Problems and related theory?

I have seen a couple of old books by Tamarkin and a few other books by Russian authors. Want to know what else can be a good reference.

share|cite|improve this question
FYI, any question which admits many different answers and no good way to determine which is "right" should be Community Wiki (see the FAQ). Textbook recommendations fall into this category. For future reference. – David White Mar 5 '13 at 21:55
up vote 5 down vote accepted

The classic reference and still one of the best places to learn about this stuff is Akhiezer's book The classical moment problem and some related problems in analysis, (English translation 1965). This isn't a recently published book, but it is in my view the gold standard.

A much more recent book Unbounded selfadjoint operators on Hilbert spaces by K Schmudgen (Springer 2012) has a whole chapter on the classical moment problem. However, this chapter refers quite often to Akhiezer and to Barry Simon's article mention by Alexandre Eremenko.

Another beautiful source, though much older, is Widder's classic The Laplace Transform. The book has a chapter on the moment problem, but the connection with selfadjoint operators is not touched. It contains however beautiful morsels of classical real analysis I could not find anywhere else.

share|cite|improve this answer
Thanks a lot Liviu! – Mohan Apr 15 '13 at 10:38

There is a book-size paper: MR1627806 Simon, Barry The classical moment problem as a self-adjoint finite difference operator. Adv. Math. 137 (1998), no. 1, 82–203.

share|cite|improve this answer
Thanks Alexandre! – Mohan Apr 15 '13 at 10:38

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.