HOW TO EXPRESS BASIS CONDITIONS AND CONDITIONS FOR THE EQUICONVERGENCE WITH TRIGONOMETRIC SERIES OF EXPANSIONS RELATED TO NONSELF-ADJOINT DIFFERENTIAL-OPERATORS

Authors
ILIN VA
Citation
Va. Ilin, HOW TO EXPRESS BASIS CONDITIONS AND CONDITIONS FOR THE EQUICONVERGENCE WITH TRIGONOMETRIC SERIES OF EXPANSIONS RELATED TO NONSELF-ADJOINT DIFFERENTIAL-OPERATORS, Computers & mathematics with applications, 34(5-6), 1997, pp. 641-647
Citations number
21
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Interdisciplinary Applications
Journal title
Computers & mathematics with applications → ACNP
ISSN journal
08981221
Volume
34
Issue
5-6
Year of publication
1997
Pages
641 - 647
Database
ISI
SICI code
0898-1221(1997)34:5-6<641:HTEBCA>2.0.ZU;2-1
Abstract
We established that neither conditions for the basis property of the s ystem of root functions of a non-self-adjoint differential operator, n or conditions for the equiconvergence of the expansion in root functio ns with the trigonometric series can be formulated, in terms of any ty pe of boundary conditions (or even for a specific form of them). We pr opose to express these conditions in terms of the first components of asymptotic expansions for the eigenvalues lambda(n), and for the root functions by powers of lambda(n)(-1/2).