Abstract
In his lectures on "Forms of higher degree ", Igusa [10] gave a simple proof of a Poisson formula due to Yamazaki [19] associated with coefficients of Dirichlet series with functional equations involving a single /'-factor, by introducing an operator of order 2 in a function space, via the Mellin transform. Our object here is to show that this Poisson formula can be generalised a little, so as to bring within its ambit, functional equations c,f Dirichlet series involving multiple Ffactors (and, in particular, those associated with Mellin transforms of non-analytic automorphic functions). We also indicate an adelic interpretation of certain Poisson formulae above just to highlight the fact that such a h~rmula in adelic form constitutes an important step in the proof of theorem 5 in w 3 of [7] on a global representation of (G/-~a.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Proceedings of the Indian Academy of Sciences - Section A
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
