29 research outputs found
Persistence of embedded eigenvalues
We consider conditions under which an embedded eigenvalue of a self-adjoint
operator remains embedded under small perturbations. In the case of a simple
eigenvalue embedded in continuous spectrum of multiplicity m < \infty we show
that in favorable situations the set of small perturbations of a suitable
Banach space which do not remove the eigenvalue form a smooth submanifold of
co-dimension m
Lectures on exponential decay of solutions of second-order elliptic equations: bounds on eigenfunctions of n-body schrodinger operations (MN-29)
Mathematical Notes, 29 Originally published in 1983. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905