Sökning: onr:"swepub:oai:DiVA.org:umu-223630" > On the convolution ...
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000 | 02842naa a2200361 4500 | |
001 | oai:DiVA.org:umu-223630 | |
003 | SwePub | |
008 | 240425s2024 | |||||||||||000 ||eng| | |
024 | 7 | a https://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-2236302 URI |
024 | 7 | a https://doi.org/10.1016/j.jmaa.2024.1283872 DOI |
040 | a (SwePub)umu | |
041 | a engb eng | |
042 | 9 SwePub | |
072 | 7 | a ref2 swepub-contenttype |
072 | 7 | a art2 swepub-publicationtype |
100 | 1 | a Chuaqui, Martinu Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Casilla 306, Santiago 22, Chile4 aut |
245 | 1 0 | a On the convolution of convex 2-gons |
264 | 1 | b Elsevier,c 2024 |
338 | a electronic2 rdacarrier | |
520 | a We study the convolution of functions of the form [Formula presented] which map the open unit disk of the complex plane onto polygons of 2 edges when α∈(0,1). Inspired by a work of Cima, we study the limits of convolutions of finitely many fα and the convolution of arbitrary unbounded convex mappings. The analysis for the latter is based on the notion of angle at infinity, which provides an estimate for the growth at infinity and determines whether the convolution is bounded or not. A generalization to an arbitrary number of factors shows that the convolution of n randomly chosen unbounded convex mappings has a probability of 1/n! of remaining unbounded. We provide the precise asymptotic behavior of the coefficients of the functions fα. | |
650 | 7 | a NATURVETENSKAPx Matematikx Matematisk analys0 (SwePub)101012 hsv//swe |
650 | 7 | a NATURAL SCIENCESx Mathematicsx Mathematical Analysis0 (SwePub)101012 hsv//eng |
653 | a 2-gons | |
653 | a Convex mappings | |
653 | a Convolution | |
700 | 1 | a Hernández, Rodrigou Facultad de Ingeniería y Ciencias, Universidad Adolfo Ibáñez, Av. Padre Hurtado 750, Viña del Mar, Chile4 aut |
700 | 1 | a Llinares, Adriánu Umeå universitet,Institutionen för matematik och matematisk statistik,Departamento de Análisis Matemático y Matemática Aplicada, Universidad Complutense de Madrid, Madrid, Spain4 aut0 (Swepub:umu)adll0001 |
700 | 1 | a Mas, Alejandrou Departamento de Análisis Matemático, Universidad de Valencia, Burjassot, Spain4 aut |
710 | 2 | a Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Casilla 306, Santiago 22, Chileb Facultad de Ingeniería y Ciencias, Universidad Adolfo Ibáñez, Av. Padre Hurtado 750, Viña del Mar, Chile4 org |
773 | 0 | t Journal of Mathematical Analysis and Applicationsd : Elsevierg 538:2q 538:2x 0022-247Xx 1096-0813 |
856 | 4 | u https://umu.diva-portal.org/smash/get/diva2:1854425/FULLTEXT01.pdfx primaryx Raw objecty fulltext:print |
856 | 4 8 | u https://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-223630 |
856 | 4 8 | u https://doi.org/10.1016/j.jmaa.2024.128387 |
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