Finiterank approximations of spectral zeta residues
Abstract
We use the asymptotic expansion of the heat trace to express all residues of spectral zeta functions as regularized sums over the spectrum. The method extends to those spectral zeta functions that are localized by a bounded operator.
 Publication:

Letters in Mathematical Physics
 Pub Date:
 March 2019
 DOI:
 10.1007/s1100501811175
 arXiv:
 arXiv:1708.05046
 Bibcode:
 2019LMaPh.109..565S
 Keywords:

 Mathematics  Spectral Theory;
 Mathematical Physics;
 Mathematics  Functional Analysis;
 58J42;
 58B34;
 35P20
 EPrint:
 12 pages, highly simplified, improved convergence