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Injectivity sets for spherical means on ℝnand on symmetric spacesand on symmetric spaces

✍ Scribed by Rama Rawat; A. Sitaram

Book ID
110544193
Publisher
SP Birkhäuser Verlag Boston
Year
2000
Tongue
English
Weight
327 KB
Volume
6
Category
Article
ISSN
1069-5869

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📜 SIMILAR VOLUMES

Injectivity Sets for Spherical Means on
Injectivity Sets for Spherical Means on the Heisenberg Group
✍ E.K Narayanan; S Thangavelu 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 133 KB

In this paper we prove that cylinders of the form R = S R × , where S R is the sphere z ∈ n z = R , are injectivity sets for the spherical mean value operator on the Heisenberg group H n in L p spaces. We prove this result as a consequence of a uniqueness theorem for the heat equation associated to

Riesz Means on Compact Riemannian Symmet
Riesz Means on Compact Riemannian Symmetric Spaces
✍ Luoqing Li 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 521 KB

## Abstract We study approximation properties of the Riesz means on compact symmetric spaces of rank one. To do so we establish equivalences between the Riesz means and Peetre K‐moduli and estimate the weak type and the uniform approximation of the Riesz means at the critical index. The relations b