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In this talk I will recall Richberg's extension theorem of plurisubharmonic functions and discuss its application in Kahler geometry.
Adapting techniques of Misiurewicz, for 1 ≤ r < ∞ we give an explicit construction of Cr maps with positiveresidual entropy. We also establish the behavior of symbolic extension entropy with respect t...
An Extension of Barbashin-Kraso vski-LaSalle Theorem to a Class of Nonautonomous Systems.
In this paper we are concerned with substructuring methods for the second-order elliptic problems in three-dimensional domains. We 痳st design a simple and completely explicit nearly harmonic extensi...
We present two new conditions to extend the Ricci flow on a compact manifold over a finite time, which are improvements of some known extension theorems.
In the present paper the smoothness loss of an extension of solutions to convolution equations is studied. Also examples for some kinds of convolvers are given.
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...
In this article, we review the Weyl correspondence of bigraded spherical harmonics and use it to extend the Hecke-Bochner identities for the spectral projections $f\times\varphi_k^{n-1}$ for function ...
The Linnik phenomenon concerning the repelling effect of Siegel's zeros is extended to L-functions in a family wider than hitherto considered.
Based onthe modified Sawada-Kotera equation, we introduce a 3×3 matrix spectral problem with two potentials and derive a hierarchyof new nonlinear evolution equations. The second member in thehierarch...
In this paper, we first investigate the integral curvature condition to extend the mean curvature flow of submanifolds in a Riemannian manifold with codimension d 1, which generalizes the extension t...
In the paper, by introducing two pairs of conjugate exponents(p,q) and (r,s), we establish a new generalizations of the Hilbert-type ineqaulity with a best constant. As application, the reverse and it...
Abstract: An abstract $\nu$-metric was introduced by Ball and Sasane, with a view towards extending the classical $\nu$-metric of Vinnicombe from the case of rational transfer functions to more genera...
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...
Abstract: This paper deals with maximum entropy completion of partially specified block-circulant matrices. Since positive definite symmetric circulants happen to be covariance matrices of stationary ...

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