Eigenfunction expansion for the three-dimensional Dirac operator

Authors
Citation
M. Horvath, Eigenfunction expansion for the three-dimensional Dirac operator, J DIFF EQUA, 160(1), 2000, pp. 139-174
Citations number
18
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN journal
00220396 → ACNP
Volume
160
Issue
1
Year of publication
2000
Pages
139 - 174
Database
ISI
SICI code
0022-0396(20000101)160:1<139:EEFTTD>2.0.ZU;2-9
Abstract
We consider any selfadjoint Dirac operator with discrete spectrum defined o n a three-dimensional domain. We show the local uniform convergence of the corresponding eigenfunction expansion ii the function expanded is sufficien tly smooth. Then we derive the Riemann's localization principle for these e xpansions. (C) 2000 Academic Press.