Convolutions with probability densities and applications to PDEs
dc.contributor.author | Gal, Sorin | |
dc.date.accessioned | 2022-06-13T14:40:23Z | |
dc.date.available | 2022-06-13T14:40:23Z | |
dc.date.issued | 2017-09-13 | |
dc.description.abstract | In this article we introduce several new convolution operators, generated by some known probability densities. By using the inverse Fourier transform and taking inverse steps (in the analogues of the classical procedures used for example in the heat or Laplace equations), we deduce the initial and final value problems satisfied by the new convolution integrals. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 9 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Gal, S. G. (2017). Convolutions with probability densities and applications to PDEs. Electronic Journal of Differential Equations, 2017(216), pp. 1-9. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/15910 | |
dc.language.iso | en | |
dc.publisher | Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Probability density | |
dc.subject | Convolution integral | |
dc.subject | Fourier transform | |
dc.subject | Initial value problem | |
dc.subject | Final value problem | |
dc.title | Convolutions with probability densities and applications to PDEs | |
dc.type | Article |