Abstract
We present a systematic study of asymptotic behaviour of (generalised) ζ-functions and heat kernels used in noncommutative geometry and clarify their connections with Dixmier traces. We strengthen and complete a number of results from the recent literature and answer (in the affirmative) the question raised by M. Benameur and T. Fack (2006) [1].
Original language | English |
---|---|
Pages (from-to) | 2451-2482 |
Number of pages | 32 |
Journal | Journal of Functional Analysis |
Volume | 260 |
Issue number | 8 |
DOIs | |
Publication status | Published - 15 Apr 2011 |
Keywords
- Dixmier trace
- Heat kernel formulae
- Noncommutative geometry
- Zeta function