Pregled bibliografske jedinice broj: 1045082
Smooth cuspidal automorphic forms and integrable discrete series
Smooth cuspidal automorphic forms and integrable discrete series // Mathematische Zeitschrift, 292 (2019), 895-922 doi:10.1007/s00209-018-2109-y (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1045082 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Smooth cuspidal automorphic forms and integrable discrete series
Autori
Muić, Goran
Izvornik
Mathematische Zeitschrift (0025-5874) 292
(2019);
895-922
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
smooth automorphic forms ; semisimple Lie groups
Sažetak
In this paper we construct smooth cuspidal automorphic forms related to integrable discrete series of a connected semisimple Lie group with finite center for classical and adelic situation as an application of the theory of Schwartz spaces for automorphic forms developed by Casselman. In the classical situation, smooth cuspidal automorphic forms are constructed via an explicit continuous map from the Frech´et space of smooth vectors of a Banach realization inside L^1(G) of an integrable discrete series into the space of smooth vectors of a strong topological dual of an appropriate Schwartz space.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Goran Muić
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
