BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY
نویسنده
چکیده
The book under review is an excellent introduction to the group theoretical and analytic aspects of the field by one of its pioneers. Before reviewing the book, we will provide an overview of the field. Integral geometry draws together analysis, geometry, and numerical mathematics. It has direct applications in PDEs, group representations, and the applied mathematical field of tomography. The fundamental problem in integral geometry is to determine properties of a function f in the plane or three-dimensional space or other manifolds from knowing the integrals of f over lines, planes, hyperplanes, spheres, or other submanifolds. The history of integral geometry starts in the early 1900s with Radon, Funk, Lorenz, and others. In 1917, Johann Radon [60] proved an inversion formula for what has become known as the classical Radon line transform: if is a line in the plane and f is an integrable function, then
منابع مشابه
BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY
Representations of semisimple Lie algebras in the BGG category í µí²ª, by James E.
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