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Revista mexicana de física E
versão impressa ISSN 1870-3542
Rev. mex. fís. E vol.52 no.1 México Jun. 2006
Enseñanza
Some integrals involving a class of filtering functions†
E. Capelas de Oliveira**
Grupo de Física-Matemática, Faculdade de Ciências, Universidade de Lisboa, 1649-003 Lisboa, Portugal, e-mail: ecapelas@cii.fc.ul.pt.
** Permanent Address:
Departamento de Matemática Aplicada, Universidade Estadual de Campinas,
13083-970 Campinas (SP) Brasil.
e-mail: capelas@ime.unicamp.br.
Recibido el 28 de mayo de 2004;
Aceptado el 9 de febrero de 2006.
Abstract
We discuss some properties of the function sin πχ / πχ which is (sometimes) indicated by the symbol sinc χ. This function is associated with problems involving filtering or interpolating functions. Several integrals are presented and a general rule is discussed.
Keywords: Residue theorem; filtering function; interpolating function.
Resumen
Algunas propiedades de la función sin πχ / πχ comúnmente llamada sinc χ, son discutidas. Tal función surge en problemas que involucran funciones de filtro o de interpolación. Algunas integrales son presentadas y una regla general es discutida.
Descriptores: Teorema de los residuos; función filtro; función interpolación.
PACS: 02.30.Dk; 02.30.Cj
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Nota
† Dedicated in memorian to Prof. Cesare M.G. Lattes and to Prof. Waldyr A. Rodrigues Jr. on his sixtieth birthday.