Banach Spaces of Solutions of the Hemholtz Equation in the Plane.
Berezin and Berezin-Toeplitz quantizations for general function spaces.
The standard Berezin and Berezin-Toeplitz quantizations on a Kähler manifold are based on operator symbols and on Toeplitz operators, respectively, on weighted L2-spaces of holomorphic functions (weighted Bergman spaces). In both cases, the construction basically uses only the fact that these spaces have a reproducing kernel. We explore the possibilities of using other function spaces with reproducing kernels instead, such as L2-spaces of harmonic functions, Sobolev spaces, Sobolev spaces of holomorphic...
Bergman function, Genchev transform and L²-angles, for multidimensional tubes [Book]
Bergman spaces of temperature functions on a cylinder.
Best approximations for the Laguerre-type Weierstrass transform on .
Beurling-Landau-Type Theorems for Non-Uniform Sampling in Shift Invariant Spline Spaces.
Boundary behaviour of holomorphic functions in Hardy-Sobolev spaces on convex domains in ℂⁿ
We study the boundary behaviour of holomorphic functions in the Hardy-Sobolev spaces , where is a smooth, bounded convex domain of finite type in ℂⁿ, by describing the approach regions for such functions. In particular, we extend a phenomenon first discovered by Nagel-Rudin and Shapiro in the case of the unit disk, and later extended by Sueiro to the case of strongly pseudoconvex domains.