Authors
Citation
Me. Taylor, BEALS-CORDES-TYPE CHARACTERIZATIONS OF PSEUDODIFFERENTIAL-OPERATORS, Proceedings of the American Mathematical Society, 125(6), 1997, pp. 1711-1716
Citations number
12
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
ISSN journal
00029939
Volume
125
Issue
6
Year of publication
1997
Pages
1711 - 1716
Database
ISI
SICI code
0002-9939(1997)125:6<1711:BCOP>2.0.ZU;2-4
Abstract
We show that, if U is the representation of SOe(n+1, 1) on L-2(S-n) gi
ven by (2.11), and P is a bounded operator on L-2(S-n), then P belongs
to OPS1,00(S-n) if and only if P(g) = U(g)PU(g)(-1) is a C-infinity f
unction on SOe(n+1,I) with values in the Banach space C(L-2 (S-n)).