On the Abscissa of Convergence of Laplace–Stieltjes Integrals in the Euclidean Real Vector Space <inline-formula><math display="inline"><semantics><msup><mi mathvariant="double-struck">R</mi><mi>p</mi></msup></semantics></math></inline-formula>
New estimates for the convergence abscissas of the multiple Laplace–Stieltjes integral are obtained. There is described the relationship between the integrand function, the Lebesgue–Stieltjes measure, and the abscissa of convergence of the multiple Laplace–Stieltjes integral. Since the multiple Lapl...
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MDPI AG
2025-03-01
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| Online Access: | https://www.mdpi.com/2075-1680/14/3/202 |
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| author | Andriy Bandura Oleh Skaskiv Olha Zadorozhna |
| author_facet | Andriy Bandura Oleh Skaskiv Olha Zadorozhna |
| author_sort | Andriy Bandura |
| collection | DOAJ |
| description | New estimates for the convergence abscissas of the multiple Laplace–Stieltjes integral are obtained. There is described the relationship between the integrand function, the Lebesgue–Stieltjes measure, and the abscissa of convergence of the multiple Laplace–Stieltjes integral. Since the multiple Laplace–Stieltjes integral is a direct generalization of the Laplace integral and multiple Dirichlet series, known results about convergence domains for the multiple Dirichlet series are obtained as corollaries of the presented more general statements for the multiple Laplace–Stieltjes integral. |
| format | Article |
| id | doaj-art-dbf13ead42fb4479888d3bd89bbff0d2 |
| institution | DOAJ |
| issn | 2075-1680 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj-art-dbf13ead42fb4479888d3bd89bbff0d22025-08-20T02:42:45ZengMDPI AGAxioms2075-16802025-03-0114320210.3390/axioms14030202On the Abscissa of Convergence of Laplace–Stieltjes Integrals in the Euclidean Real Vector Space <inline-formula><math display="inline"><semantics><msup><mi mathvariant="double-struck">R</mi><mi>p</mi></msup></semantics></math></inline-formula>Andriy Bandura0Oleh Skaskiv1Olha Zadorozhna2Department of Physics and Mathematics, Ivano-Frankivsk National Technical University of Oil and Gas, 76019 Ivano-Frankivsk, UkraineFaculty of Mechanics and Mathematics, Ivan Franko National University of Lviv, 79000 Lviv, UkraineIndependent Researcher, London W5 2TJ, UKNew estimates for the convergence abscissas of the multiple Laplace–Stieltjes integral are obtained. There is described the relationship between the integrand function, the Lebesgue–Stieltjes measure, and the abscissa of convergence of the multiple Laplace–Stieltjes integral. Since the multiple Laplace–Stieltjes integral is a direct generalization of the Laplace integral and multiple Dirichlet series, known results about convergence domains for the multiple Dirichlet series are obtained as corollaries of the presented more general statements for the multiple Laplace–Stieltjes integral.https://www.mdpi.com/2075-1680/14/3/202multiple integalLaplace–Stieltjes integralabscissa of convergencemultiple Dirichlet seriesdomain of convergenceLaplace integral |
| spellingShingle | Andriy Bandura Oleh Skaskiv Olha Zadorozhna On the Abscissa of Convergence of Laplace–Stieltjes Integrals in the Euclidean Real Vector Space <inline-formula><math display="inline"><semantics><msup><mi mathvariant="double-struck">R</mi><mi>p</mi></msup></semantics></math></inline-formula> Axioms multiple integal Laplace–Stieltjes integral abscissa of convergence multiple Dirichlet series domain of convergence Laplace integral |
| title | On the Abscissa of Convergence of Laplace–Stieltjes Integrals in the Euclidean Real Vector Space <inline-formula><math display="inline"><semantics><msup><mi mathvariant="double-struck">R</mi><mi>p</mi></msup></semantics></math></inline-formula> |
| title_full | On the Abscissa of Convergence of Laplace–Stieltjes Integrals in the Euclidean Real Vector Space <inline-formula><math display="inline"><semantics><msup><mi mathvariant="double-struck">R</mi><mi>p</mi></msup></semantics></math></inline-formula> |
| title_fullStr | On the Abscissa of Convergence of Laplace–Stieltjes Integrals in the Euclidean Real Vector Space <inline-formula><math display="inline"><semantics><msup><mi mathvariant="double-struck">R</mi><mi>p</mi></msup></semantics></math></inline-formula> |
| title_full_unstemmed | On the Abscissa of Convergence of Laplace–Stieltjes Integrals in the Euclidean Real Vector Space <inline-formula><math display="inline"><semantics><msup><mi mathvariant="double-struck">R</mi><mi>p</mi></msup></semantics></math></inline-formula> |
| title_short | On the Abscissa of Convergence of Laplace–Stieltjes Integrals in the Euclidean Real Vector Space <inline-formula><math display="inline"><semantics><msup><mi mathvariant="double-struck">R</mi><mi>p</mi></msup></semantics></math></inline-formula> |
| title_sort | on the abscissa of convergence of laplace stieltjes integrals in the euclidean real vector space inline formula math display inline semantics msup mi mathvariant double struck r mi mi p mi msup semantics math inline formula |
| topic | multiple integal Laplace–Stieltjes integral abscissa of convergence multiple Dirichlet series domain of convergence Laplace integral |
| url | https://www.mdpi.com/2075-1680/14/3/202 |
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