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The theory of Hahn meromorphic functions, a holomorphic Fredholm theorem and its applications
Hahn meromorphic functions holomorphic Fredholm theorem its applications Classical Analysis and ODEs
2012/5/9
We introduce a class of functions near zero on the logarithmic cover of the complex plane that have convergent expansions into generalized power series. These power series are general enough to cover ...
Strichartz estimates for Dirichlet-wave equations in two dimensions with applications
Strichartz estimtes Strauss conjecture obstacles
2011/2/21
We establish the Strauss conjecture for nontrapping obstacles when the spatial dimension n is two. As pointed out in [7] this case is more subtle than n = 3 or 4 due to the fact that the arguments of ...
Applications of the Golden Ratio on Riemannian Manifolds
Riemannian manifold Golden Structure induced structures on submanifolds Golden Ratio
2010/2/25
The Golden Ratio is a fascinating topic that continually generates new ideas. The main purpose of the present paper is to point out and find some applications of the Golden Ratio and of Fibonacci numb...
A geometric Kirchoff -Sobolev parametrix for the wave equation and applications
Kirchoff -Sobolev parametrix wave equation applications
2014/4/3
Together with I. Rordnianski we construct a first order, physical space, parametrix for solutions to covariant, tensorial, wave equations on a general Lorentzian manifold. The construction is entirely...