Series expansions among weighted Lebesgue function spaces and applications to positive definite functions on compact two-point homogeneous spaces
Ver/ Abrir
Impacto
Scholar |
Otros documentos de la autoría: Simões Barbosa, Victor; Gregori, Pablo; Peron, Ana P.; Porcu, Emilio
Metadatos
Mostrar el registro completo del ítemcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONMetadatos
Título
Series expansions among weighted Lebesgue function spaces and applications to positive definite functions on compact two-point homogeneous spacesFecha de publicación
2022-07-11Editor
Elsevier Inc.ISSN
0022-247XCita bibliográfica
Barbosa, V. S., Gregori, P., Peron, A. P., & Porcu, E. (2022). Series expansions among weighted Lebesgue function spaces and applications to positive definite functions on compact two-point homogeneous spaces. Journal of Mathematical Analysis and Applications, 516(1), 126487.Tipo de documento
info:eu-repo/semantics/articleVersión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
Geodesically isotropic positive definite functions on compact two-point homogeneous
spaces of dimension d have series representation as members of weighted Lebesgue
spaces Lw
1 ([−1, 1]), where the weight w(x) = ... [+]
Geodesically isotropic positive definite functions on compact two-point homogeneous
spaces of dimension d have series representation as members of weighted Lebesgue
spaces Lw
1 ([−1, 1]), where the weight w(x) = wα,β(x) = (1 − x)α(1 + x)β is the one
related to the Jacobi orthogonal polynomials P(α,β)(x) in [−1, 1], and the exponents
α and β are related to the dimension d. We derive some recurrence relations among
the coefficients of the series representations under different exponents, and we apply
them to prove inheritance of positive definiteness between dimensions. Additionally,
we give bounds on the curvature at the origin of such positive definite functions
with compact support, extending the existing solutions from d-dimensional spheres
to compact two-point homogeneous spaces. [-]
Publicado en
Journal of Mathematical Analysis and Applications, Vol. 516, Issue 1 (December 2022)Entidad financiadora
Agencia Estatal de Investigación (España) | Conselho Nacional de Desenvolvimento Científico e Tecnológico-CNPq (Brazil) | FAPESP, Brazil | Khalifa University of Science and Technology (Abu Dhabi, UAE)
Código del proyecto o subvención
PID2019-107392RB-I00 | 203033/2019-1 | 2021/04269-0 | FSU-2021-016
Derechos de acceso
© 2022 The Author(s).
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Aparece en las colecciones
- MAT_Articles [762]