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The mathematical legacy of Leon Ehrenpreis - copertina
The mathematical legacy of Leon Ehrenpreis - copertina
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The mathematical legacy of Leon Ehrenpreis
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The mathematical legacy of Leon Ehrenpreis - copertina
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Leon Ehrenpreis has been one of the leading mathematicians in the twentieth century. His contributions to the theory of partial differential equations were part of the golden era of PDEs, and led him to what is maybe his most important contribution, the Fundamental Principle, which he announced in 1960, and fully demonstrated in 1970. His most recent work, on the other hand, focused on a novel and far reaching understanding of the Radon transform, and offered new insights in integral geometry. Leon Ehrenpreis died in 2010, and this volume collects writings in his honor by a cadre of distinguished mathematicians, many of which were his collaborators.
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Dettagli

2012
20 aprile 2012
Libro universitario
402 p., Rilegato
9788847019461
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Indice


Part I Introduction to the Volume Leon Ehrenpreis: Some Old Souvenirs. Leon Ehrenpreis, a Unique Mathematician. Leon Ehrenpreis, Recollections from the Recent Decades. Part II Invited Papers Analyticity on Curves. On Local Injectivity for Generalized Radon Transforms. Deconvolution for the Pompeiu Problem on the Heisenberg Group, I. Theta Functions Wronskians and Weierstrass Points for Linear Spaces of Meromorphic Functions. The Admissibility Theorem for the Spatial X-Ray Transform over the Two-Element Field. Microlocal Analysis of Fixed Singularities of WKB Solutions of a Schrödinger Equation with a Merging Triplet of Two Simple Poles and a Simple Turning Point. Contents Geometric Properties of Boundary Orbit Accumulation Points. Microlocal Analysis of Elliptical Radon Transforms with Foci on a Line. Mathematics of Hybrid Imaging: A Brief Review. On Fermat-Type Functional and Partial Differential Equations. An Analogue of the Galois Correspondence for Foliations. A Quantitative Version of Carathéodory’s Theorem for Convex Sets. Geometric Path Integrals. A Language for Multiscale Biology and Systems Robustness. Bounded Cohomology for Solutions of Systems of Differential Equations: Applications to Extension Problems. On Two Lacunary Series and Modular Curves. PT Symmetry andWeyl Asymptotics. Complex Gradient Systems. Coleff–Herrera Currents Revisited. Right Inverses for P(D)in Spaces of Real Analytic Functions. Averaging Residue Currents and the Stückrad–Vogel Algorithm. A Letter of Leon Ehrenpreis to Bernard Malgrange.

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