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On Jacobi polynomials (P (a,ß) k : a, ß > -1) and Maclaurin spectral functions on rank one symmetric spaces
journal contribution
posted on 2023-06-09, 07:10 authored by Richard Olu Awonusika, Ali TaheriAli TaheriThe 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.
History
Publication status
- Published
File Version
- Published version
Journal
Journal of AnalysisISSN
0971-3611Publisher
Springer VerlagExternal DOI
Issue
1Volume
25Page range
139-166Department affiliated with
- Mathematics Publications
Research groups affiliated with
- Analysis and Partial Differential Equations Research Group Publications
Full text available
- Yes
Peer reviewed?
- Yes