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June 1st, 2012, 12:30 PM  #1 
Member Joined: Aug 2011 Posts: 71 Thanks: 0  Lower bound of an eigenvalue
For a given real number c>0 define functions }, as an eigenfunctions of the SturmLiouville operators L_c defined ( in fact, is called the prolate spheroidal wave function). Consider a compact integral operator It is known that are the eigenfunctions of the operator . So, where are eigenvalues of (Note, it is known that .) I would like to find a lower bound for Any references and ideas will be very helpful. Thank you. 
June 13th, 2012, 08:35 PM  #2 
Senior Member Joined: Oct 2010 From: Changchun, China Posts: 492 Thanks: 14  Re: Lower bound of an eigenvalue
Ritz or Galerkin method?


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bound, eigenvalue, lower 
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