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math.CA2003★ 3 cited
estimates for overdetermined Radon transforms
Luca Brandolini, Allan Greenleaf, Giancarlo Travaglini
We prove several variations on the results of Ricci and Travaglini concerning bounds for convolution with all rotations of a measure supported by a fixed convex curve in the plane.…
math.CA2002
Oscillatory and Fourier Integral operators with degenerate canonical relations
Allan Greenleaf, Andreas Seeger
We mostly survey results concerning the boundedness of oscillatory and Fourier integral operators. This article does not intend to give a broad overview; it mainly focusses o…
math.CA2000
Oscillatory integral operators with low-order degeneracies
Allan Greenleaf, Andreas Seeger
Sharp L^2 estimates for oscillatory integral operators and Fourier integral operators associated with canonical relations having two-sided cusp or one-sided swallowtail singulariti…