Singularities of Solutions to Quadratic Vector Equations on the Complex Upper Half-Plane
نویسندگان
چکیده
منابع مشابه
A special subspace of weighted spaces of holomorphic functions on the upper half plane
In this paper, we intend to define and study concepts of weight and weighted spaces of holomorphic (analytic) functions on the upper half plane. We study two special classes of these spaces of holomorphic functions on the upper half plane. Firstly, we prove these spaces of holomorphic functions on the upper half plane endowed with weighted norm supremum are Banach spaces. Then, we investigate t...
متن کاملAn Introduction to Upper Half Plane Polynomials
For example, x1 + · · · + xd ∈ Ud (C). This follows from the fact that the upper half plane is a cone, so if σ1, . . . , σd are in the upper half plane then so is their sum. Another example is x1x2 − 1. If σ1 and σ2 are in the upper half plane then σ1σ2 ∈ C \ (0,∞), so σ1σ2 − 1 is not zero. U1 (C) is easily described. It is all polynomials in one variable whose roots are either real, or lie in ...
متن کاملa study on the effectiveness of textual modification on the improvement of iranian upper-intermediate efl learners’ reading comprehension
این پژوهش به منظور بررسی تأثیر اصلاح متنی بر بهبود توانایی درک مطلب زبان آموزان ایرانی بالاتر از سطح میانی انجام پذیرفت .بدین منظور 115 دانشجوی مرد و زن رشته مترجمی زبان انگلیسی در این پزوهش شرکت نمودند.
On the Solutions of Quadratic Diophantine Equations
We determine a finite set of representatives of the set of local solutions in a maximal lattice modulo the stabilizer of the lattice in question for a quadratic Diophantine equation. Our study is based on the works of Shimura on quadratic forms, especially [AQC] and [IQD]. Indeed, as an application of the result, we present a criterion (in both global and local cases) of the maximality of the l...
متن کاملAn equivalent representation for weighted supremum norm on the upper half-plane
In this paper, rstly, we obtain some inequalities which estimates complex polynomials on the circles.Then, we use these estimates and a Moebius transformation to obtain the dual of this estimates forthe lines in upper half-plane. Finally, for an increasing weight on the upper half-plane withcertain properties and holomorphic functions f on the upper half-plane we obtain an equivalentrepresenta...
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: Communications on Pure and Applied Mathematics
سال: 2016
ISSN: 0010-3640
DOI: 10.1002/cpa.21639