A framework derives piecewise polynomial measures from orbital integrals on Lie groups via apolar inner product transformations on polynomials, with a moments formula for the unitary group.
Faraut, Horn's problem and Fourier analysis
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On measures derived from orbital integrals
A framework derives piecewise polynomial measures from orbital integrals on Lie groups via apolar inner product transformations on polynomials, with a moments formula for the unitary group.