3 problems
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The local Plancherel density conjecture for the basic function
Let be a split non-Archimedean local field with ring of integers , and let be an affine spherical variety with a good model over , satisfying the…
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The Sakellaridis–Venkatesh conjecture on the Whittaker-Plancherel derivative
Whittaker-Plancherel derivative conjecture. The Radon–Nikodym derivative should satisfy
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Unitary Adams conjecture for the Plancherel decomposition of Howe duality
Unitary Adams conjecture. There is a direct integral decomposition