Harmonic analysis and partial differential equations. Brief walk through these domains
In this walk we are going to walk through some domains of harmonic analysis and partial differential equations (PDE). The objective of this article is to motivate students and colleagues to study these beautiful areas of analysis and therefore we emphasize the ideas, some mathematical results and so...
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| Format: | Article |
| Language: | Spanish |
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Universidad Nacional de Trujillo
2024-12-01
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| Series: | Selecciones Matemáticas |
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| Online Access: | https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6162 |
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| _version_ | 1841561232487743488 |
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| author | Alejandro Ortiz Fernández |
| author_facet | Alejandro Ortiz Fernández |
| author_sort | Alejandro Ortiz Fernández |
| collection | DOAJ |
| description | In this walk we are going to walk through some domains of harmonic analysis and partial differential equations (PDE). The objective of this article is to motivate students and colleagues to study these beautiful areas of analysis and therefore we emphasize the ideas, some mathematical results and some historical data. In this “ tourist” tour we will see a panorama of such areas in the 19th and 20 th centuries, a panorama of the Fourier series; we give a vision of the theory of distributions, of the theory of linear partial differential operators and we culminate by given a vision of harmonic analysis and its relationship we the PDE. |
| format | Article |
| id | doaj-art-0489443bf2eb422ab401cfbc01788d52 |
| institution | Kabale University |
| issn | 2411-1783 |
| language | Spanish |
| publishDate | 2024-12-01 |
| publisher | Universidad Nacional de Trujillo |
| record_format | Article |
| series | Selecciones Matemáticas |
| spelling | doaj-art-0489443bf2eb422ab401cfbc01788d522025-01-03T03:50:48ZspaUniversidad Nacional de TrujilloSelecciones Matemáticas2411-17832024-12-01110236739210.17268/sel.mat.2024.02.10Harmonic analysis and partial differential equations. Brief walk through these domainsAlejandro Ortiz Fernández0https://orcid.org/0000-0002-9380-4301Universidad Nacional de Trujillo, Pontificia Universidad Católica del Perú, PerúIn this walk we are going to walk through some domains of harmonic analysis and partial differential equations (PDE). The objective of this article is to motivate students and colleagues to study these beautiful areas of analysis and therefore we emphasize the ideas, some mathematical results and some historical data. In this “ tourist” tour we will see a panorama of such areas in the 19th and 20 th centuries, a panorama of the Fourier series; we give a vision of the theory of distributions, of the theory of linear partial differential operators and we culminate by given a vision of harmonic analysis and its relationship we the PDE.https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6162fouriervariationsdirichletdistributionssingular integralspartial differential equations |
| spellingShingle | Alejandro Ortiz Fernández Harmonic analysis and partial differential equations. Brief walk through these domains Selecciones Matemáticas fourier variations dirichlet distributions singular integrals partial differential equations |
| title | Harmonic analysis and partial differential equations. Brief walk through these domains |
| title_full | Harmonic analysis and partial differential equations. Brief walk through these domains |
| title_fullStr | Harmonic analysis and partial differential equations. Brief walk through these domains |
| title_full_unstemmed | Harmonic analysis and partial differential equations. Brief walk through these domains |
| title_short | Harmonic analysis and partial differential equations. Brief walk through these domains |
| title_sort | harmonic analysis and partial differential equations brief walk through these domains |
| topic | fourier variations dirichlet distributions singular integrals partial differential equations |
| url | https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6162 |
| work_keys_str_mv | AT alejandroortizfernandez harmonicanalysisandpartialdifferentialequationsbriefwalkthroughthesedomains |