Naslov
On the decomposition of L-2(Gamma\G) in the cocompact case

Autori
Muić, Goran

Izvornik
Journal of lie theory (0949-5932) 18 (2008), 4; 937-949

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
semisimple real groups; lattices; automorphic forms; spectral decomposition

Sažetak
Let \Gamma be a discrete cocompact subgroup of a semisiple real group G. By a well-known theorem of Gelfand– Graev– Piatetski Shapiro, the right– regular representation L2(\Gamma\G) decomposes into a direct sum of irreducible unitary representations of G, each appearing with a finite multiplicity. Understanding of the spectral decomposition of L2(\Gamma\G) is very important and was studied by a number of authors. In spite of those efforts, the decomposition of L2(\Gamma\G) is still rather mysterious. In the paper the author proves new results in the direction of understanding spectral decomposition of L2(\Gamma\G). New method applied in the paper is use of types of compact subgroups, and relating them to members of the spectral decomposition of L2(\Gamma\G).

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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