2004/12/06 by Didier Robert, Robert, Didier
Computer Science · Mathematics · Physics and Astronomy · #Matrix Theory and Algorithms #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics #math-ph #math.AP #math.MP #msc:30 #msc:35
paper · pdf · doi:10.48550/arxiv.math-ph/0412015
arxiv created 2004/12/06 · arxiv updated 2009/12/01
In this paper we consider generalized eigenvalue problems for a family of operators with a polynomial dependence on a complex parameter. This problem is equivalent to a genuine non self-adjoint operator. We discuss here existence of non trivial eigenstates for models coming from analytic theory of smoothness for P.D.E. We shall review some old results and present recent improvements on this subject.