8 papers
Complete Nevanlinna-Pick property of -Invariant Reproducing Kernels
Miroslav Engliš, Somnath Hazra, Paramita Pramanick
Let be a Cartan domain and be a -invariant kernel on . In this article, we first obtain a necessary cond…
Besov-Bergman spaces of -harmonic functions
Petr Blaschke, Miroslav Engliš
We~show that the weighted Bergman spaces of M-harmonic functions (functions annihilated by the invariant Laplacian on the unit ball of the complex n-space), as~well as their analyt…
Uniqueness of -harmonic Moebius invariant inner products on the ball
Petr Blaschke, Miroslav Engliš
We~prove uniqueness of the Moebius invariant semi-inner product on hyperbolic-harmonic functions on the unit ball of the real n-space, i.e. on functions annihilated by the hyperbol…
A~Moebius invariant space of -harmonic functions on the ball
Petr Blaschke, Miroslav Engliš, El-Hassan Youssfi
We~describe a Dirichlet-type space of -harmonic functions, i.e. functions annihilated by the hyperbolic Laplacian on~the unit ball of the real -space, as~the analytic continu…
Reproducing kernel functions and asymptotic expansions on Jordan-Kepler manifolds
Miroslav Engliš, Harald Upmeier
We study the complex geometry of generalized Kepler manifolds, defined in Jordan theoretic terms, introduce Hilbert spaces of holomorphic functions defined by radial measures, and…
Bergman kernels, TYZ expansions and Hankel operators on the Kepler manifold
Hélène Bommier-Hato, Miroslav Engliš, El-Hassan Youssfi
For a class of invariant measures on the Kepler manifold possessing finite moments of all orders, we describe the reproducing kernels of the associated Bergman spaces, d…