Some estimations on the Szegö kernel function

Szegö kernel of a symplectic quotient

The object of this paper is the relation between the Szegö kernel of an ample line bundle on a complex projective manifold, M , and the Szegö kernel of the induced polarization on the quotient of M by the holomorphic action of a compact Lie group, G. Let M be an n-dimensional complex projective manifold and L an ample line bundle on it. Suppose a connected compact Lie group G acts on M as a gro...

Generalized holomorphic Szegö kernel in 3D spheroids

Monogenic orthogonal polynomials over 3D prolate spheroids were previously introduced and shown to have some remarkable properties. In particular, the underlying functions take values in the quaternions (identified with R), and are generally assumed to be nullsolutions of the well known Moisil-Théodoresco system. In this paper, we show that these polynomial functions play an important role in d...

On the Kernel Function

In this article we study some properties of the kernel o radical function and some similar functions. The methods used are very elementary. Mathematics Subject Classification: 11A99, 11B99

Szegö on Jacobi Polynomials

One of the interesting features in the development of analysis in the twentieth century is the remarkable growth, in various directions, of the theory of orthogonal functions. Two brilliant achievements on the threshold of this century—Fejér's paper on Fourier series and Fredholm's papers on integral equations—have been acting as a powerful inspiring source of attraction, inviting analysts to d...

Some of the Recent publications on dose estimations in CT