A multiplier theorem for Fourier transforms
نویسندگان
چکیده
منابع مشابه
Fourier transforms and the Funk–Hecke theorem in convex geometry
We apply Fourier transforms to homogeneous extensions of functions on Sn−1. This results in complex integral operators. The real and imaginary parts of these operators provide a pairing of stereological data that leads to new results concerning the determination of convex bodies as well as new settings for known results. Applying the Funk–Hecke theorem to these operators yields stability versio...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1974
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1974-0409829-6