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math.CA2020
Existence of extremizers for Fourier restriction to the moment curve
Chandan Biswas, Betsy Stovall
We show that the restriction and extension operators associated to the moment curve possess extremizers and that -normalized extremizing sequences of these operators are preco…
math.CA2020
Compactness of a restricted X-ray transform
Chandan Biswas
We show that the X-ray transform with directions restricted along the moment curve possesses extremizers and that -normalized extremizing sequences are precompact modulo symme…