naa a22 4500 510810691 CHVBK 20180411083441.0 cr unu---uuuuu 180411e20130701xx s 000 0 eng 10.1007/s12220-012-9294-4 doi (NATIONALLICENCE)springer-10.1007/s12220-012-9294-4 Rubin B. Department of Mathematics, Louisiana State University, 70803, Baton Rouge, LA, USA aut Funk, Cosine, and Sine Transforms on Stiefel and Grassmann Manifolds [Elektronische Daten] [B. Rubin] The Funk, cosine, and sine transforms on the unit sphere are indispensable tools in integral geometry and related harmonic analysis. The aim of this paper is to extend basic facts about these transforms to the more general context for Stiefel or Grassmann manifolds. The main topics are composition formulas, the Fourier functional relations for homogeneous distributions, analytic continuation, inversion formulas, and some applications. Mathematica Josephina, Inc., 2012 Funk transform nationallicence Radon transform nationallicence Fourier analysis nationallicence Cosine transform nationallicence Sine transform nationallicence Journal of Geometric Analysis Springer US; http://www.springer-ny.com 23/3(2013-07-01), 1441-1497 1050-6926 23:3<1441 2013 23 12220 https://doi.org/10.1007/s12220-012-9294-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s12220-012-9294-4 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Rubin B. Department of Mathematics, Louisiana State University, 70803, Baton Rouge, LA, USA aut NATIONALLICENCE 773 0- Journal of Geometric Analysis Springer US; http://www.springer-ny.com 23/3(2013-07-01), 1441-1497 1050-6926 23:3<1441 2013 23 12220 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer