Nalazite se na CroRIS probnoj okolini. Ovdje evidentirani podaci neće biti pohranjeni u Informacijskom sustavu znanosti RH. Ako je ovo greška, CroRIS produkcijskoj okolini moguće je pristupi putem poveznice www.croris.hr
izvor podataka: crosbi

On the decomposition of L-2(Gamma\G) in the cocompact case (CROSBI ID 152413)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Muić, Goran On the decomposition of L-2(Gamma\G) in the cocompact case // Journal of lie theory, 18 (2008), 4; 937-949

Podaci o odgovornosti

Muić, Goran

engleski

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

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).

semisimple real groups; lattices; automorphic forms; spectral decomposition

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

Podaci o izdanju

18 (4)

2008.

937-949

objavljeno

0949-5932

Povezanost rada

Matematika

Indeksiranost