A representation-theoretic deformation of the Fourier transform and partial derivatives on R^N that interchanges them via F_b while preserving an sl(2) structure and providing a smooth analogue of Dunkl operators.
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Existence of continuous families of finite-energy solutions to positive Kazdan-Warner equations on Z squared and a layer structure with extremal solution for the negative case under a parameter threshold.
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A Generalized Fourier Transform and a Smooth Analogue of Dunkl Operators
A representation-theoretic deformation of the Fourier transform and partial derivatives on R^N that interchanges them via F_b while preserving an sl(2) structure and providing a smooth analogue of Dunkl operators.
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On finite-energy solutions of Kazan-Warner equations on the lattice graph
Existence of continuous families of finite-energy solutions to positive Kazdan-Warner equations on Z squared and a layer structure with extremal solution for the negative case under a parameter threshold.