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Some New Techniques And Their Applications In The Theory Of Distributions, Kevin Kellinsky-Gonzalez
Some New Techniques And Their Applications In The Theory Of Distributions, Kevin Kellinsky-Gonzalez
LSU Doctoral Dissertations
This dissertation is a compilation of three articles in the theory of distributions. Each essay focuses on a different technique or concept related to distributions.
The focus of the first essay is the concept of distributional point values. Distribu- tions are sometimes called generalized functions, as they share many similarities with ordi- nary functions, with some key differences. Distributional point values, among other things, demonstrate that distributions are even more akin to ordinary functions than one might think.
The second essay concentrates on two major topics in analysis, namely asymptotic expansions and the concept of moments. There are many variations …