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三亚国际数学论坛:Recent Advances in Convex Geometry and Geometric Functional Analysis
三亚国际数学论坛 Convex Geometry Geometric Functional Analysis
2017/11/24
Convexity is omnipresent in mathematics and the mathematical sciences. During the past ten years, there has been intensive research in convex geometry. Methods and techniques from different fields hav...
Arithmetic, geometric and harmonic mean for accretive-dissipative matrices
Lowner order Arithmetic Geometric and Harmonic mean Accretivedissipative matrix
2012/6/15
The concept of L\"{o}wner (partial) order for general complex matrices is introduced. After giving the definition of arithmetic, geometric and harmonic mean for accretive-dissipative matrices, we stud...
Geometric regularization on Riemannian and Lorentzian manifolds
Regularization of distributions complete Riemannian manifolds globally hyperbolic Lorentz manifolds algebras of generalized functions
2011/8/22
Abstract: We investigate regularizations of distributional sections of vector bundles by means of nets of smooth sections that preserve the main regularity properties of the original distributions (si...
On the equivariant implicit function theorem with low regularity and applications to geometric variational problems
equivariant implicit function theorem low regularity and applications variational problems
2010/12/14
We prove an implicit function theorem for functions on infinite dimensional Banach manifolds, invariant under the (local) action of a finite dimensional Lie group. Motivated by some geometric variatio...