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Non-holomorphic projections and extension of biholomorphic mappings
Non-holomorphic projections extension of biholomorphic mappings Complex Variables
2012/5/24
We show that biholomorphic mappings between two bounded, pseudoconvex domains with smooth boundary extend smoothly to the boundaries of the domains, under a regularity condition on a family of twisted...
$\mathcal{C}^{\infty}$-hypoellipticity and extension of $CR$ function
CR-hypoelliptic CR-embedding holomorphic extension C∞ wave front set holomorphic wedge extension
2011/9/14
Abstract: Let $M$ be a $CR$ submanifold of a complex manifold $X$. The main result of this article is to show that $CR$-hypoellipticity at $p_0\in{M}$ is necessary and sufficient for holomorphic exten...
On some problems on smooth approximation and smooth extension of Lipschitz functions on Banach-Finsler Manifolds
Riemannian manifolds Finsler manifolds Banach spaces
2011/2/24
Let us consider a Riemannian manifold M (either separable or non-separable). We prove that, for every " > 0, every Lipschitz function f : M ! R can be uniformly approximated by a Lipschitz, C1-smooth ...
Congruences for Andrews' spt-function modulo 32760 and extension of Atkin's Hecke-type partition congruences
Andrews' spt-function Atkin's Hecke-type partition congruences
2010/11/15
New congruences are found for Andrews' smallest parts partition function spt(n). The generating function for spt(n) is related to the holomorphic part alpha(24z) of a certain weak Maass form M(z) of ...
Multi-property-preserving Domain Extension Using Polynomial-Based Modes of Operation
Multi-property-preserving Domain Extension Polynomial-Based Modes
2012/11/30
In this paper, we propose a new double-piped mode of operation for multi-property-preserving domain extension of MACs (message authentication codes), PRFs (pseudorandom functions) and PROs (pseudorand...
Dykstra’s Algorithm as the Nonlinear Extension of Bregman's Optimization Method
Bregman projection convex programming Dykstra's algorithm
2009/1/22
We show that Dykstra's algorithm with Bregman projections, which finds the Bregman projection of a point onto the nonempty intersection of finitely many closed convex sets, is actually the nonlinear e...
An Extension of Ozaki and Nunokawa's Univalence Criterion
Univalent functions Univalence criteria
2010/1/22
In this paper we obtain a sufficient condition for the analyticity and the univalence of the functions defined by an integral operator. In a particular case we find the well known condition for unival...