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math.DG2023
Equigeodesic vectors on compact homogeneous spaces with equivalent isotropy summands
Brian Grajales, Lino Grama
In this paper, we investigate equigeodesics on a compact homogeneous space We introduce a formula for the identification of equigeodesic vectors only relying on the isotro…
math.AP2023
On the sharpness of Strichartz estimates and spectrum of compact Lie groups
Duván Cardona, Brian Grajales, Michael Ruzhansky
We prove Strichartz estimates on any compact connected simple Lie group. In the diagonal case of Bourgain's exponents we provide a new regularity order in the…
math.AP2023
Control of the Cauchy problem on Hilbert spaces: A global approach via symbol criteria
Duván Cardona, Julio Delgado, Brian Grajales +1
Let and be invariant linear operators with respect to a decomposition of a Hilbert space in subspaces of finite dimension. We gi…