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On Jacobi polynomials (P (a,ß) k : a, ß > -1) and Maclaurin spectral functions on rank one symmetric spaces

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posted on 2023-06-09, 07:10 authored by Richard Olu Awonusika, Ali TaheriAli Taheri
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.

History

Publication status

  • Published

File Version

  • Published version

Journal

Journal of Analysis

ISSN

0971-3611

Publisher

Springer Verlag

Issue

1

Volume

25

Page range

139-166

Department affiliated with

  • Mathematics Publications

Research groups affiliated with

  • Analysis and Partial Differential Equations Research Group Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2017-07-13

First Open Access (FOA) Date

2018-06-24

First Compliant Deposit (FCD) Date

2017-07-13

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