Closing lemmas and shifts for piecewise smooth vector fields
Xingping Sun | Southwest Missouri State University - Estados Unidos
Grant number: | 14/14380-2 |
Support type: | Scholarships in Brazil - Doctorate |
Effective date (Start): | September 01, 2014 |
Effective date (End): | July 31, 2017 |
Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Analysis |
Cooperation agreement: | Coordination of Improvement of Higher Education Personnel (CAPES) |
Principal researcher: | Valdir Antonio Menegatto |
Grantee: | Rafaela Neves Bonfim |
Home Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
Abstract This project seeks characterizations for positive definite and stritcly positive definite isotropic matrix-valued functions on (real and complex) spheres and other manifolds, similar to the classical characterization obtained by I. J. Schoenberg in the forties for scalar positive definite and stritcly positive definite isotropic functions on spheres.\ In the strict case the investigation may consider connections between results involving different dimensions. The project also intends to cover a bifurcation into scalar positive definite and strictly positive definite functions on sphere that depend upon parameters, as previously investigated by O. Musin in the late nineties. (AU) | |
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