2ND ROOT VECTORS FOR MULTIPARAMETER EIGENVALUE PROBLEMS OF FREDHOLM TYPE

Authors
BINDING P KOSIR T
Citation
P. Binding et T. Kosir, 2ND ROOT VECTORS FOR MULTIPARAMETER EIGENVALUE PROBLEMS OF FREDHOLM TYPE, Transactions of the American Mathematical Society, 348(1), 1996, pp. 229-249
Citations number
26
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Transactions of the American Mathematical Society → ACNP
ISSN journal
00029947
Volume
348
Issue
1
Year of publication
1996
Pages
229 - 249
Database
ISI
SICI code
0002-9947(1996)348:1<229:2RVFME>2.0.ZU;2-S
Abstract
A class of multiparameter eigenvalue problems involving (generally) no n self-adjoint and unbounded operators is studied. A basis for the sec ond root subspace, at eigenvalues of Fredholm type, is computed in ter ms of the underlying multiparameter system. A self-adjoint version of this result is given under a weak definiteness condition, and Sturm-Li ouvilie and finite-dimensional examples are considered.