Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

On the product formula on noncompact Grassmannians

100%

Graczyk P., Sawyer P.

Colloquium Mathematicum

2013

tom 133

nr 2

145-167

We study the absolute continuity of the convolution $δ_{e^X}^{♮} * δ_{e^Y}^{♮}$ of two orbital measures on the symmetric space SO₀(p,q)/SO(p)×SO(q), q > p. We prove sharp conditions on X,Y ∈ 𝔞 for the existence of the density of the convolution measure. This measure intervenes in the product formula for the spherical functions. We show that the sharp criterion developed for SO₀(p,q)/SO(p)×SO(q) also serves for the spaces SU(p,q)/S(U(p)×U(q)) and Sp(p,q)/Sp(p)×Sp(q), q > p. We moreover apply our results to the study of absolute continuity of convolution powers of an orbital measure $δ_{e^X}^♮$.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Graczyk P.

1 Sawyer P.

1 2013

Wyniki wyszukiwania

On the product formula on noncompact Grassmannians