One Problem Connected with the Helgason Support Problem

• Date: 2015
• Main Authors: Volchkov, V. V., Savost’yanova, I. M., Волчков, В. В., Волчков, Вит. В., Савостьянова, И. М.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2015
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2058
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We solve the problem of description of the set of continuous functions in annular subdomains of the n-dimensional sphere with zero integrals over all (n - 1)-dimensional spheres covering the inner spherical cap. As an application, we establish a spherical analog of the Helgason support theorem and n...