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Improvement of eigenfunction estimates on manifolds of nonpositive curvature

Improvement of eigenfunction estimates on manifolds of nonpositive curvature

Abstract Let ( M , g ) be a compact, boundaryless manifold of dimension n with the property that either (i) n = 2 and ( M , g ) has no conjugate points, or (ii) the sectional curvatures of ( M , g ) are nonpositive. Let Δ be …