In this paper we describe the range of the α-cosine transform between real Grassmannians in terms of the decomposition under the action of the special orthogonal group. As one of the steps in the proof we show that the image of certain intertwining operators between maximally degenerate principal series representations is irreducible.
|Title of host publication||Geometric Aspects of Functional Analysis|
|Subtitle of host publication||Israel Seminar 2006-2010|
|Number of pages||21|
|State||Published - 2012|
|Name||Lecture Notes in Mathematics|