A class of solvable non-homogeneous differential operators on the Heisenberg group
نویسندگان
چکیده
منابع مشابه
Non-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 کاملA Class of compact operators on homogeneous spaces
Let $varpi$ be a representation of the homogeneous space $G/H$, where $G$ be a locally compact group and $H$ be a compact subgroup of $G$. For an admissible wavelet $zeta$ for $varpi$ and $psi in L^p(G/H), 1leq p <infty$, we determine a class of bounded compact operators which are related to continuous wavelet transforms on homogeneous spaces and they are called localization operators.
متن کاملa class of compact operators on homogeneous spaces
let $varpi$ be a representation of the homogeneous space $g/h$, where $g$ be a locally compact group and $h$ be a compact subgroup of $g$. for an admissible wavelet $zeta$ for $varpi$ and $psi in l^p(g/h), 1leq p
متن کاملSingular Convolution Operators on the Heisenberg Group
1. Statement of results and outline of method. The purpose of this note is to announce results dealing with convolution operators on the Heisenberg group. As opposed to the well-known situation where the kernels are homogeneous and C°° away from the origin, the kernels we study are homogeneous but have singularities on a hyperplane. Convolution operators with such kernels arise in the study of ...
متن کاملSolvability of dissipative second order left-invariant differential operators on the Heisenberg group
We prove local solvability for large classes of operators of the form
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: Studia Mathematica
سال: 2001
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm148-1-8