Selected Papers II. Vol.2

Ed. by Peter Sarnak and Andrew Majda

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A renowned mathematician who considers himself both applied and theoretical in his approach, Peter Lax has spent most of his professional career at NYU, making significant contributions to both mathematics and computing. He has written several important published works and has received numerous honors including the National Medal of Science, the Lester R. Ford Award, the Chauvenet Prize, the Semmelweis Medal, the Wiener Prize, and the Wolf Prize. Several students he has mentored have become leaders in their fields.
A renowned mathematician who considers himself both applied and theoretical in his approach, Peter Lax has spent most of his professional career at NYU, making significant contributions to both mathematics and computing. He has written several important published works and has received numerous honors including the National Medal of Science, the Lester R. Ford Award, the Chauvenet Prize, the Semmelweis Medal, the Wiener Prize, and the Wolf Prize. Several students he has mentored have become leaders in their fields.
Scattering Theory in Euclidean Space.- The Wave Equation in Exterior Domains.- Exponential Decay of Solutions of the Wave Equation in the Exterior of a Star-Shaped Obstacle.- Scattering Theory.- Decaying Modes for the Wave Equation in the Exterior of an Obstacle.- On the Scattering Frequencies of the Laplace Operator for Exterior Domains.- Commentary on Part V.- Scattering Theory for Automorphic Functions.- Translation Representations for the Solution of the Non-Euclidean Wave Equation.- Scattering Theory for Automorphic Functions.- Translation Representations for the Solution of the Non-Euclidean Wave Equation. II.- The Asymptotic Distribution of Lattice Points in Euclidean and Non-Euclidean Spaces.- A Local Paley-Wiener Theorem for the Radon Transform of L 2 Functions in a Non-Euclidean Setting.- Translation Representations for Automorphic Solutions of the Wave Equation in Non-Euclidean Spaces. I.- Translation Representations for Automorphic Solutions of the Wave Equation in Non-Euclidean Spaces. II.- Translation Representations for Automorphic Solutions of the Wave Equation in Non-Euclidean Spaces. III.- Translation Representation for Automorphic Solutions of the Wave Equation in Non-Euclidean Spaces, IV.- Translation Representations for Automorphic Solutions of the Wave Equation in Non-Euclidean Spaces; the Case of Finite Volume.- Commentary on Part VI.- Functional Analysis.- A Stability Theorem for Solutions of Abstract Differential Equations, and Its Application to the Study of the Local Behavior of Solutions of Elliptic Equations.- A Phragmén-Lindelöf Theorem in Harmonic Analysis and Its Application to Some Questions in the Theory of Elliptic Equations.- Translation Invariant Spaces.- The Time Delay Operator and a Related Trace Formula.- The Translation Representation Theorem.- Trace Formulas for the Schroedinger Operator.- Commentary on Part VII.- Analysis.- Approximation of Measure Preserving Transformations.- On the Factorization of Matrix-Valued Functions.- A Short Path to the Shortest Path.- Change of Variables in Multiple Integrals.- Change of Variables in Multiple Integrals II.- Commentary on Part VIII.- Algebra.- On Matrices Whose Real Linear Combinations are Nonsingular.- Correction to "On Matrices Whose Real Linear Combinations are Nonsingular".- On Sums of Squares.- The Multiplicity of Eigenvalues.- On the Discriminant of Real Symmetric Matrices.- Commentary on Part IX.
Part of a two-volume work, this book features the work of renowned mathematician Peter Lax, with topics ranging from functional analysis, partial differential equations and numerical methods to conservation laws, integrable systems and scattering theory.

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