Invariant Bihinear Forms for Heisenberg Group
نویسندگان
چکیده
منابع مشابه
On Fully Nonlinear Cr Invariant Equations on the Heisenberg Group
In this paper we provide a characterization of second order fully nonlinear CR invariant equations on the Heisenberg group, which is the analogue in the CR setting of the result proved in the Euclidean setting by A. Li and the first author in [21]. We also prove a comparison principle for solutions of second order fully nonlinear CR invariant equations defined on bounded domains of the Heisenbe...
متن کاملTHE LAPLACIAN ON p-FORMS ON THE HEISENBERG GROUP
The Novikov-Shubin invariants for a non-compact Riemannian manifold M can be defined in terms of the large time decay of the heat operator of the Laplacian on L p-forms, △p, on M . For the (2n + 1)-dimensional Heisenberg group H2n+1, the Laplacian △p can be decomposed into operators△p,n(k) in unitary representations β̄k which, when restricted to the centre of H, are characters (mapping ω to exp(...
متن کاملHeisenberg-invariant Kummer Surfaces Ii
is the closure of the locus parametrizing H22-invariant quartics with 16 skew lines. The smooth surfaces of this type are parametrized by a non-empty open set N s of N . These surfaces are Kummer surfaces associated to abelian surfaces with a (1,3)–polarization. The action of the Heisenberg group on the Kummer surface corresponds to a level-2 structure on the abelian surface. If A is an abelian...
متن کاملNon-solvability for a Class of Left-invariant Second-order Differential Operators on the Heisenberg Group
We study the question of local solvability for second-order, leftinvariant differential operators on the Heisenberg group Hn, of the form
متن کاملL-spectral Multipliers for the Hodge Laplacian Acting on 1-forms on the Heisenberg Group
Abstract. We prove that, if ∆1 is the Hodge Laplacian acting on differential 1forms on the (2n+1)-dimensional Heisenberg group, and if m is a Mihlin-Hörmander multiplier on the positive half-line, with L-order of smoothness greater than n+ 1 2 , then m(∆1) is L-bounded for 1 < p < ∞. Our approach leads to an explicit description of the spectral decomposition of ∆1 on the space of L-forms in ter...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Tokyo Journal of Mathematics
سال: 1995
ISSN: 0387-3870
DOI: 10.3836/tjm/1270043624