𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Kelvin transforms and harmonic polynomials on the Heisenberg group

✍ Scribed by Adam Korányi

Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
357 KB
Volume
49
Category
Article
ISSN
0022-1236

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Tauberian theorem for m-spherical transf
Tauberian theorem for m-spherical transforms on the Heisenberg group
✍ Der-Chen Chang; Wayne M. Eby 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 304 KB

## Abstract In this paper we prove a Tauberian type theorem for the space __L__ $ ^1 \_{\bf m} $(H~__n__~ ). This theorem gives sufficient conditions for a __L__ $ ^1 \_{\bf 0} $(H~__n__~ ) submodule __J__ ⊂ __L__ $ ^1 \_{\bf m} $(H~__n__~ ) to make up all of __L__ $ ^1 \_{\bf m} $(H~__n__~ ). As a

Harmonic Analysis on the Quotient Spaces
Harmonic Analysis on the Quotient Spaces of Heisenberg Groups, II
✍ J.H. Yang 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 271 KB

This article is a continuation of a previous article by the author [Harmonic analysis on the quotient spaces of Heisenberg groups, Nagoya Math. J. 123 (1991), 103-117]. In this article, we construct an orthonormal basis of the irreducible invariant component \(H_{\Omega}^{(i)}\left[\begin{array}{c}A

The Spherical Transform of a Schwartz Fu
The Spherical Transform of a Schwartz Function on the Heisenberg Group
✍ Chal Benson; Joe Jenkins; Gail Ratcliff 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 513 KB

Suppose that K/U(n) is a compact Lie group acting on the (2n+1)-dimensional Heisenberg group H n . We say that (K, H n ) is a Gelfand pair if the convolution algebra L 1 K (H n ) of integrable K-invariant functions on H n is commutative. In this case, the Gelfand space 2(K, H n ) is equipped with th

Solvability on the Heisenberg group
Solvability on the Heisenberg group
✍ G. Eremiev Karadzhov 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 184 KB

## Abstract We solve in various spaces the linear equations __L~α~g__ = __f__ , where __L~α~__ belongs to a class of transversally elliptic second order differential operators on the Heisenberg group with double characteristics and complex‐valued coefficients, not necessarily locally solvable. (© 2

On the interplay between the Hilbert tra
On the interplay between the Hilbert transform and conjugate harmonic functions
✍ Fred Brackx; Bram De Knock; Hennie De Schepper; David Eelbode 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 148 KB

As is well-known, there is a close and well-deÿned connection between the notions of Hilbert transform and of conjugate harmonic functions in the context of the complex plane. This holds e.g. in the case of the Hilbert transform on the real line, which is linked to conjugate harmonicity in the upper

Geodesic graphs on the 13–dimensional gr
Geodesic graphs on the 13–dimensional group of Heisenberg type
✍ Z. Dušek; O. Kowalski 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 155 KB

## Abstract A __g.o. space__ is a homogeneous Riemannian manifold __M__ = (__G/H, g__) on which every geodesic is an orbit of a one–parameter subgroup of the group __G__. (__G__ acts transitively on __M__ as a group of isometries.) Each g.o. space gives rise to certain rational maps called “geodesi