Add to ORKGA Paley-Wiener Theorem for all connected, simply-connected two and three-step nilpotent Lie groups is proved. If f $\epsilon \ L\sbsp{c}{\infty}({G}),$ where G is a connected, simply-connected two or three-step nilpotent Lie group such that the operator-valued Fourier transform $\\varphi(\pi)$ = 0 for all $\pi$ in E, a subset of G of positive Plancherel measure, then it is shown that f = 0 a. e. on G. The proof uses representation-theoretic methods from Kirillov theory for nilpotent Lie groups, and uses an integral formula for the operator-valued Fourier transform $\\varphi(\pi)$. It is also shown by example that the condition that G be simply-connected is necessary
We formulate and prove a version of Paley-Wiener theorem for the inverse Fourier transform on non-co...
AbstractLet G be a locally compact abelian group. The Schwartz-Bruhat space of functions on G is the...
We generalize a Paley-Wiener theorem to homogeneous line bundles $L_\chi$ on a compact symmetric spa...
A Paley-Wiener-type theorem is proved for connected and simply connected Lie groups
AbstractA Paley-Wiener theorem for all connected, simply-connected two- and three-step nilpotent Lie...
This dissertation arose from efforts to prove the following conjecture, which generalizes to nilpote...
The classical Szasz-Muntz theorem says that for $f\ \in\ L\sp2(\lbrack 0, 1\rbrack )$ and $\{n\sb{k}...
. We study weak analogues of the Paley-Wiener Theorem for both the scalarvalued and the operator-val...
One of the important questions related to any integral transform on a manifold M or on a homogeneous...
AbstractThis paper concerns itself with the problem of generalizing to nilpotent Lie groups a weak f...
In this doctoral thesis, the C*-algebras of the connected real two-step nilpotent Lie groups and the...
AbstractThe authors consider irreducible representations π ϵ N̂ of a nilpotent Lie group and define ...
Abstract. We generalize the classical Paley-Wiener theorem to special types of connected, simply con...
In this work on g=Fn,2 , free 2-step nilpotent Lie algebra on n generators, we use the group of a...
The adapted Fourier transform, so-called nilpotent Fourier transform, was first introduced by D. Arn...
We formulate and prove a version of Paley-Wiener theorem for the inverse Fourier transform on non-co...
AbstractLet G be a locally compact abelian group. The Schwartz-Bruhat space of functions on G is the...
We generalize a Paley-Wiener theorem to homogeneous line bundles $L_\chi$ on a compact symmetric spa...
A Paley-Wiener-type theorem is proved for connected and simply connected Lie groups
AbstractA Paley-Wiener theorem for all connected, simply-connected two- and three-step nilpotent Lie...
This dissertation arose from efforts to prove the following conjecture, which generalizes to nilpote...
The classical Szasz-Muntz theorem says that for $f\ \in\ L\sp2(\lbrack 0, 1\rbrack )$ and $\{n\sb{k}...
. We study weak analogues of the Paley-Wiener Theorem for both the scalarvalued and the operator-val...
One of the important questions related to any integral transform on a manifold M or on a homogeneous...
AbstractThis paper concerns itself with the problem of generalizing to nilpotent Lie groups a weak f...
In this doctoral thesis, the C*-algebras of the connected real two-step nilpotent Lie groups and the...
AbstractThe authors consider irreducible representations π ϵ N̂ of a nilpotent Lie group and define ...
Abstract. We generalize the classical Paley-Wiener theorem to special types of connected, simply con...
In this work on g=Fn,2 , free 2-step nilpotent Lie algebra on n generators, we use the group of a...
The adapted Fourier transform, so-called nilpotent Fourier transform, was first introduced by D. Arn...
We formulate and prove a version of Paley-Wiener theorem for the inverse Fourier transform on non-co...
AbstractLet G be a locally compact abelian group. The Schwartz-Bruhat space of functions on G is the...
We generalize a Paley-Wiener theorem to homogeneous line bundles $L_\chi$ on a compact symmetric spa...