On Jacobi polynomials (P (α,β) k : α, β > −1) and Maclaurin spectral functions on rank one symmetric spaces

Awonusika, Richard Olu and Taheri, Ali (2017) On Jacobi polynomials (P (α,β) k : α, β > −1) and Maclaurin spectral functions on rank one symmetric spaces. Journal of Analysis, 25 (1). pp. 139-166. ISSN 0971-3611

[img] PDF - Published Version
Restricted to SRO admin only until 24 June 2018.

Download (674kB)
[img] PDF - Accepted Version
Restricted to SRO admin only

Download (443kB)

Abstract

The Maclaurin spectral functions associated with the development of the heat kernel on compact rank one symmetric spaces are analysed. Relations with various invariants most notably the heat trace, the Minakshisundaram–Pleijel heat coefficients and the spectral residues are carefully examined and a precise formulation as well as asymptotics (t & 0) in terms of the celebrated Jacobi theta functions is represented. A natural class of polynomials and power series encoding structural properties of the heat kernel are introduced and further studied.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Research Centres and Groups: Analysis and Partial Differential Equations Research Group
Subjects: Q Science > QA Mathematics
Depositing User: Billy Wichaidit
Date Deposited: 13 Jul 2017 15:19
Last Modified: 05 Oct 2017 10:21
URI: http://sro.sussex.ac.uk/id/eprint/69244

View download statistics for this item

📧 Request an update