ACTA issues

The Radon transform for double fibrations of semisimple symmetric spaces

Satoshi Ishikawa

Acta Sci. Math. (Szeged) 87:1-2(2021), 165-206

Abstract. We present the injectivity and support results of the Radon transform for the double fibrations of semisimple symmetric spaces in the setting of the inclusion incidence relation which generalizes the setting of our previous result in [Ish2]. We also generalize the projection slice theorem which relates the Radon transform with the Fourier transforms on semisimple symmetric spaces.

DOI: 10.14232/actasm-020-164-4

AMS Subject Classification (1991): 44A12, 43A85

Keyword(s): Radon transform, symmetric space, Fourier transform

received 13.1.2020, revised 19.3.2021, accepted 20.3.2021. (Registered under 164/2020.)