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Extension of Symmetric Spaces and Restriction of Weyl Groups and Invariant Polynomials
Invariant polynomials Extension of symmetric spaces Spherical Fourier transform
2011/1/17
Polynomial invariants are fundamental objects in analysis on Lie groups and symmetric spaces. Invariant differential operators on symmetric spaces are described by Weyl group invariant poly-nomial.
Restriction estimates for the paraboloid over finite fields
Restriction estimates paraboloid over finite fields
2010/12/7
We prove certain endpoint restriction estimates for the paraboloid over finite fields in
three and higher dimensions. Working in the bilinear setting, we are able to pass from esti-
mates for charac...