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G ALEXOPOULOS Paraboloc Harnack inequalities and Riesz transforms on
H ARAI Harmonic analysis with respect to degenerate Laplacian on strictly
ASH and R BROWN Uniqueness and nonuniqueness for harmonic functions
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assume ball basis Bergman metric Borel measure boundary bounded compact condition conformal factors conformal metrics conjecture converges Corollary CR manifolds cube curvature decomposition defined denote differential dilations equivalent estimate Euclidean exists a constant exponentially small finite formula Fourier transform given Haar measure Harmonic Analysis harmonic function Harnack Heisenberg group Hence holds homogeneous hypoellipticity implies interpolation isospectral isospectral set Japan L2 norm Laplacian Lebesgue Lebesgue measure left invariant Lemma Let G Lie algebra linear Math maximal function maximal operator Moreover nilpotent notation obtain orthogonal orthonormal Paley-Wiener theorem positive constant preprint problem proof of Theorem properties Proposition prove radial functions respect result Riemannian manifold Riesz products satisfying singular integral Sobolev Sobolev inequality solutions space spline square function strictly pseudoconvex domains subset Suppose symmetric Szego kernel Tohoku trigonometric series Univ variables vector fields wavelet weak type zero