Basic relative invariants associated to homogeneous cones and applications.
Berezin transform on line bundles over bounded symmetric domains.
Berezin transforms and group representations.
Berezin--Toeplitz quantization on the Schwartz space of bounded symmetric domains.
Besov spaces on symmetric manifolds—the atomic decomposition
We give the atomic decomposition of the inhomogeneous Besov spaces defined on symmetric Riemannian spaces of noncompact type. As an application we get a theorem of Bernstein type for the Helgason-Fourier transform.
BGG sequences on spheres
BGG sequences on flat homogeneous spaces are analyzed from the point of view of decomposition of appropriate representation spaces on irreducible parts with respect to a maximal compact subgroup, the so called -types. In particular, the kernels and images of all standard invariant differential operators (including the higher spin analogs of the basic twistor operator), i.e. operators appearing in BGG sequences, are described.
Bochner and Schoenberg theorems on symmetric spaces in the complex case
Boehmians on manifolds.
Boundaries and the Fatou theorem for subelliptic second order operators on solvable Lie groups
Boundaries for left-invariant sub-elliptic operators on semidirect products of nilpotent and abelian groups.
Boundary Behavior of Harmonic Functions on Symmetric Spaces: Maximal Estimates for Poisson Integrals.
Bounded orbits of flows on homogeneous spaces.