Applications of the Thick Distributional Calculus
Yunyun Yang, Ricardo Estrada
TL;DR
This paper explores various applications of the thick distributional calculus, including homogeneous distributions, point source fields, and higher order derivatives, demonstrating its utility in advanced mathematical analysis.
Contribution
It introduces new applications of the thick distributional calculus to analyze complex distributions and derivatives in mathematical physics.
Findings
Enhanced understanding of homogeneous distributions
Novel applications to point source fields
Development of higher order derivative techniques
Abstract
We give several applications of the thick distributional calculus. We consider homogeneous distributions, point source fields, and higher order derivatives of order
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Holomorphic and Operator Theory · Stochastic processes and financial applications