Concepedia

Nonlocal inversion formulas for the X-ray transform

Allan Greenleaf, Günther Uhlmann

Duke Mathematical Journal · 1989 · 151 citations · 18 references

DOI

Concepts

Abstract

Etude de la reconstruction d'une fonction f(x) sur R n a partir de ses integrales sur des plans k-dimensionnels. Cas de k=1

References

18

Fourier integral operators. I

Lars Hörmander · Acta Mathematica · 1971 · 2.4K citations · Full text

, , +9

The spectrum of positive elliptic operators and periodic bicharacteristics

J. J. Duistermaat, Victor Guillemin · Inventiones mathematicae · 1975 · 616 citations

, , +12

On the iteration of closed geodesics and the sturm intersection theory

Raoul Bott · Communications on Pure and Applied Mathematics · 1956 · 281 citations

, , +6

Hilbert integrals, singular integrals, and Radon transforms I

D. H. Phong, E. M. Stein · Acta Mathematica · 1986 · 212 citations · Full text

, , +10

Lagrangian Intersection and the Cauchy Problem

Richard Melrose, Günther Uhlmann · Communications on Pure and Applied Mathematics · 1979 · 202 citations

, , +11