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Symmetric hyperbolic systems in algebras of generalized functions and distributional limits
Symmetric hyperbolic systems distributional limits Analysis of PDEs
2011/9/23
Abstract: We study existence, uniqueness, and distributional aspects of generalized solutions to the Cauchy problem for first-order symmetric (or Hermitian) hyperbolic systems of partial differential ...
Classes of generalized functions with finite type regularities
Classes of generalized finite type regularities
2011/1/18
We introduce and analyze spaces and algebras of gen-eralized functions which correspond to Sobolev, Zygmund and Hölder spaces of functions. The main scope of the paper is the characteri-
zation ...
Measurement error and convolution in generalized functions spaces
Measurement error convolution generalized functions spaces
2010/12/9
This paper considers convolution equations that arise from problems such as deconvolution and non-parametric regression with errors in variables. The equations are examined in spaces of generalized fu...