Properties of the l=1 radial part of the Laplace operator in a special scalar product
Abstract
We develop selfadjoint extensions of the l=1 radial part of the Laplace operator in a special scalar product. The product arises as the transfer of the plain product from R^3 into the set of functions parametrizing one of the two components of the transverse vector field. The similar extensions are treated for the square of inverse operator of the radial part in question.
 Publication:

arXiv eprints
 Pub Date:
 October 2015
 arXiv:
 arXiv:1510.07824
 Bibcode:
 2015arXiv151007824B
 Keywords:

 Mathematics  Spectral Theory;
 47B25 (Primary);
 47A10 (Secondary)
 EPrint:
 20 pages, modified translation of the article in "Zap. Nauch. Sem. POMI"