Meromorphic continuation of Minakshisundaram-Pleijel series for semisimple Lie groups (Q1366655)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Meromorphic continuation of Minakshisundaram-Pleijel series for semisimple Lie groups |
scientific article; zbMATH DE number 1060845
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Meromorphic continuation of Minakshisundaram-Pleijel series for semisimple Lie groups |
scientific article; zbMATH DE number 1060845 |
Statements
Meromorphic continuation of Minakshisundaram-Pleijel series for semisimple Lie groups (English)
0 references
16 September 1997
0 references
An explicit meromorphic continuation of the Minakshisundaram-Pleijel zeta function for a compact Riemann surface has been obtained by B. Randol using the Selberg trace formula. Such zeta functions can be defined in the context of a general rank 1 symmetric space from \(\Gamma/G\setminus K\). The author finds, similarly, their continuation to the full complex plane.
0 references
spectral zeta function
0 references
class 1 representation
0 references
spherical function
0 references
Laplacian
0 references
Harish-Chandra \(C\)-function
0 references
semisimple Lie groups
0 references
meromorphic continuation
0 references
Minakshisundaram-Pleijel zeta function
0 references
Selberg trace formula
0 references
0.87738264
0 references
0.8705648
0 references
0.8614999
0 references
0 references
0.8530519
0 references
