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We prove a spectral Paley-Wiener theorem for the Heisenberg group by means of a support theorem for the twisted spherical means on $ℂ^{n} .$ If $f (z) e^{\frac{1}{4} {| z |}^{2}}$ is a Schwartz class function we show that $f$ is supported in a ball of radius $B$ in $ℂ^{n}$ if and only if $f \times μ_{r} (z) = 0$ for $r > B + | z |$ for all $z \in ℂ^{n} .$ This is an analogue of Helgason’s support theorem on Euclidean and hyperbolic spaces. When $n = 1$ we show that the two conditions $f \times μ_{r} (z) = μ_{r} \times f (z) = 0$ for $r > B + | z |$ imply a support theorem for a large class of functions with exponential growth. Surprisingly enough,this latter...

Anwendungen der differentialtopologischen Berechnung der totalen Krümmung und totalen Absolutkrümmung in der sphärischen Differentialgeometrie.

Eberhard Teufel (1980)

Manuscripta mathematica

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... Minimizing Currents.

50 years sets with positive reach -- a survey.

A certain inversion problem for the ray transform with incomplete data.

A generalization of Steiner Symmetrization for immersed surfaces and its applications.

A Heat Semigroup Approach to Concentration on the Sphere and on a Compact Riemannian Manifold.

A perturbed integral geometry problem in a three-dimensional space.

A remark on mixed curvature measures for sets with positive reach.

A spectral Paley-Wiener theorem for the Heisenberg group and a support theorem for the twisted spherical means on $ℂ^{n}$

A sufficient condition for the convexity of the area of an isoptic curve of an oval

A Variational Proof of the Gauss-Bonnet Formula.

An integral formula for non-Codazzi tensors

An integral formula for submanifolds and its application

An integral formula in differential geometry via mixed exterior algebra.

An integral formula related to inner isoptics

An integral geometry problem along geodesics and a computational approach.

An integral geometry problem in a nonconvex domain.

Anwendungen der differentialtopologischen Berechnung der totalen Krümmung und totalen Absolutkrümmung in der sphärischen Differentialgeometrie.

Bornes universelles pour des invariants géométriques

Branched ...-structures on surfaces with prescribed real holonomy.

Calibrated geometries in Grassmann manifolds.

Currently displaying 1 – 20 of 183