Approximation properties of local smoothing kernels
Eduard A. Nigsch
TL;DR
This paper investigates the properties of smoothing kernels used in constructing diffeomorphism-invariant Colombeau-type generalized function algebras, focusing on their local behavior and approximation capabilities.
Contribution
It provides new insights into the approximation properties of local smoothing kernels within the framework of generalized function algebras.
Findings
Characterization of local smoothing kernels
Analysis of their approximation properties
Implications for diffeomorphism-invariant generalized functions
Abstract
We study some properties of smoothing kernels and their local expression as they appear in the construction of Colombeau-type generalized function algebras which are diffeomorphism invariant.
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Taxonomy
TopicsMathematical and Theoretical Analysis · Mathematical Analysis and Transform Methods · Advanced Topology and Set Theory