Study of a remarkable function associated to convolution averages

Authors
Even, C
Citation
C. Even, Study of a remarkable function associated to convolution averages, ANN I FOUR, 49(2), 1999, pp. 687
Citations number
7
Categorie Soggetti
Mathematics
Journal title
ANNALES DE L INSTITUT FOURIER
ISSN journal
03730956 → ACNP
Volume
49
Issue
2
Year of publication
1999
Database
ISI
SICI code
0373-0956(1999)49:2<687:SOARFA>2.0.ZU;2-K
Abstract
In this article we study the generating series of alternating weights of a convolution-preserving average induced by diffusion. We prove that it is a meromorphic function, naturally associated to a particular compact operator . This function is equal to d(-z)/d(z), whenever the Fredholm determinant d (z) of this operator exists, and we precise it in other cases.