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Radon Inversion - Variations on a Theme

Year of Award: 1983

Publication Information: The American Mathematical Monthly, vol. 89, 1982, pp. 377-384 and 420-423

Summary: The Radon transform is used in generalizations of the original problem of recovering a function on the plane from its integrals over all lines in the plane.  These transforms lead to many elegant mathematical problems, several of which are provided here (with separate solutions) for the avid problem-solver.

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About the Author: (from The American Mathematical Monthly, vol. 89, (1982)) Robert S. Strichartz: I graduated from the Bronx High School of Science in 1960, received a B.A. from Dartmouth College in 1963 and a Ph.D. in mathematics form Princeton University (under E.M. Stein) in 1966. I spent a year in France as a NATO Postdoctoral Fellow, then went to MIT as a C.L.E. Moore Instructor, and in 1969 came to Cornell where I am now Professor of Mathematics. My major area of interest is harmonic analysis and its applications to many areas of mathematics. I have been fortunate to have many fine teachers, including Henrietta Mazen, Richard Williamson, Leon Henkin, Mischa Cotlar, A. Besicovitch, Eli Stein, S. Bochner, Harry Furstenberg and Irving Segal, from whom I learned not just the stuff of mathematics, but something of its spirit. What I love most about mathematics is the joy of discovery, when understanding overcomes confusion. What I like least about mathematics is the way clear and somple ideas tend to become muddy and murky and mystifying when committed to the printed page.

 

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Robert S. Strichartz
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Robert S. Strichartz
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Publication Date: 
Wednesday, September 24, 2008
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Summary: 
The Radon transform is used in generalizations of the original problem of recovering a function on the plane from its integrals over all lines in the plane. These transforms lead to many elegant mathematical problems, several of which are provided here (with separate solutions) for the avid problem-solver.

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