Weighted polynomials and weighted pluripotential theory
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چکیده
منابع مشابه
Weighted Polynomials and Weighted Pluripotential Theory
X iv :m at h/ 06 10 33 0v 1 [ m at h. C V ] 1 0 O ct 2 00 6 From miranda Tue Oct 10 09:42:48 2006 Return-Path: ¡[email protected]¿ Received: miranda@localhost) by coxeter.math.toronto.edu (AIX5.2/8.11.6p2/8.11.0/UTMath 1.0) id k9ADgmn118742; Tue, 10 Oct 2006 09:42:48 -0400 Date: Tue, 10 Oct 2006 09:42:48 -0400 From: Miranda Tang ¡[email protected] Message-Id: ¡200610101342.k9ADgmn118742...
متن کاملm at h . C V ] 1 1 O ct 2 00 6 WEIGHTED POLYNOMIALS AND WEIGHTED PLURIPOTENTIAL THEORY
Let E be a compact subset of C and w ≥ 0 a weight function on E with w > 0 on a non-pluripolar subset of E. To (E, w) we associate a canonical circular set Z ⊂ C. We obtain precise relations between the weighted pluricomplex Green function and equilibrium measure of (E, w) and the pluricomplex Green function and equilibrium measure of Z. These results, combined with an appropriate form of the B...
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chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
15 صفحه اولWeighted lattice polynomials
We define the concept of weighted lattice polynomial functions as lattice polynomial functions constructed from both variables and parameters. We provide equivalent forms of these functions in an arbitrary bounded distributive lattice. We also show that these functions include the class of discrete Sugeno integrals and that they are characterized by a remarkable median based decomposition formula.
متن کاملWeighted Interlace Polynomials
The interlace polynomials extend in a natural way to invariants of graphs with vertex-weights, and these weighted interlace polynomials have several novel properties. One novel property is a version of the fundamental three-term formula q(G) = q(G − a) + q(G − b) + ((x − 1) − 1)q(G − a − b) that lacks the last term; consequently the use of vertex-weights allows for interlace polynomial calculat...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2008
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-08-04607-2