The kernel functions of Szegö type on Riemann surfaces
نویسندگان
چکیده
منابع مشابه
Meromorphic Functions on Certain Riemann Surfaces
1. Throughout the paper we shall denote by R a Riemann surface. For a domain Í2 in P, we represent by AB(Q) the class of all the singlevalued bounded analytic functions on the closure Ü. For a meromorphic function / on a domain ß, we use the notation viw\f, Q.) to express the number of times that/ attains w in ß. Definition 1. We say that REWIb if the maximum principle suplen \fip)\ =sup3,ean \...
متن کاملFunctions of Uniformly Bounded Characteristic on Riemann Surfaces
A characteristic function T(D, w, f) of Shimizu and Ahlfors type for a function / meromorphic in a Riemann surface R is defined, where D is a regular subdomain of R containing a reference point w G R. Next we suppose that R has the Green functions. Letting T(w,f) = Mthdir T{D,w,f), we define / to be of uniformly bounded characteristic in R, f G UBC(i?) in notation, if sup^g/j T(w, f) < oo. We s...
متن کاملSzegö 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...
متن کاملLocal Self-concordance of Barrier Functions Based on Kernel-functions
Many efficient interior-point methods (IPMs) are based on the use of a self-concordant barrier function for the domain of the problem that has to be solved. Recently, a wide class of new barrier functions has been introduced in which the functions are not self-concordant, but despite this fact give rise to efficient IPMs. Here, we introduce the notion of locally self-concordant barrier functio...
متن کاملCorrelation Functions for Some Conformal Theories on Riemann Surfaces
We discuss the geometrical connection between 2D conformal field theories, random walks on hyperbolic Riemann surfaces and knot theory. For the wide class of CFT’s with monodromies being the discrete subgroups of SL(2,R I ) the determination of four–point correlation functions are related to construction of topological invariants for random walks on multipunctured Riemann surfaces.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Kodai Mathematical Journal
سال: 1972
ISSN: 0386-5991
DOI: 10.2996/kmj/1138846634