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Spectral Analysis of Differential Operators
This is the first monograph devoted to the Sturm oscillatory theory for infinite systems of differential equations and its relations with the spectral theory. It aims to study a theory of self-adjoint problems for such systems, based on an elegant method of binary relations. Another topic investigated in the book is the behavior of discrete eigenvalues which appear in spectral gaps of the Hill operator and almost periodic SchrAdinger operators due to local perturbations of the potential (e.g., modeling impurities in crystals). The book is based on results that have not been presented in other monographs. The only prerequisites needed to read it are basics of ordinary differential equations and operator theory. It should be accessible to graduate students, though its main topics are of interest to research mathematicians working in functional analysis, differential equations and mathematical physics, as well as to physicists interested in spectral theory of differential operators."
Topics in Operator Theory
This is the second volume of a collection of original and review articles on recent advances and new directions in a multifaceted and interconnected area of mathematics and its applications. It encompasses many topics in theoretical developments in operator theory and its diverse applications in applied mathematics, physics, engineering, and other disciplines. The purpose is to bring in one volume many important original results of cutting edge research as well as authoritative review of recent achievements, challenges, and future directions in the area of operator theory and its applications.
Recent Advances in Harmonic Analysis and Partial Differential Equations
This volume is based on the AMS Special Session on Harmonic Analysis and Partial Differential Equations and the AMS Special Session on Nonlinear Analysis of Partial Differential Equations, both held March 12-13, 2011, at Georgia Southern University, Statesboro, Georgia, as well as the JAMI Conference on Analysis of PDEs, held March 21-25, 2011, at Johns Hopkins University, Baltimore, Maryland. These conferences all concentrated on problems of current interest in harmonic analysis and PDE, with emphasis on the interaction between them. This volume consists of invited expositions as well as research papers that address prospects of the recent significant development in the field of analysis an...
Analysis and Geometry on Graphs and Manifolds
A contemporary exploration of the interplay between geometry, spectral theory and stochastics which is explored for graphs and manifolds.
Covariant Schrödinger Semigroups on Riemannian Manifolds
This monograph discusses covariant Schrödinger operators and their heat semigroups on noncompact Riemannian manifolds and aims to fill a gap in the literature, given the fact that the existing literature on Schrödinger operators has mainly focused on scalar Schrödinger operators on Euclidean spaces so far. In particular, the book studies operators that act on sections of vector bundles. In addition, these operators are allowed to have unbounded potential terms, possibly with strong local singularities. The results presented here provide the first systematic study of such operators that is sufficiently general to simultaneously treat the natural operators from quantum mechanics, such as ma...
CMUC
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Mathematical Reviews
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Ordinary Differential Operators
In 1910 Herman Weyl published one of the most widely quoted papers of the 20th century in Analysis, which initiated the study of singular Sturm-Liouville problems. The work on the foundations of Quantum Mechanics in the 1920s and 1930s, including the proof of the spectral theorem for unbounded self-adjoint operators in Hilbert space by von Neumann and Stone, provided some of the motivation for the study of differential operators in Hilbert space with particular emphasis on self-adjoint operators and their spectrum. Since then the topic developed in several directions and many results and applications have been obtained. In this monograph the authors summarize some of these directions discuss...
Crimes et délits cocasses
Rire du pire. Crimes et délits cocasses est la face cachée burlesque d'un travail des plus sérieux. Chargée de mission auprès d'un prestigieux centre de recherche, Pauline Arrighi a les yeux rivés sur l'actualité criminelle mondiale. Là, elle mène une veille parallèle sur la face cocasse du crime. Elle a aussi recueilli plus de 300 récits de crimes et délits réels survenus dans le monde entier entre 2005 et 2010. On y trouve des braqueurs de banque déguisés en squelette qui conduisent une voiture orange, des requins farcis à la cocaïne, des contrefaçons de crayons à papier, des parents qui vendent leur enfant pour s'acheter un téléphone portable ou encore des cannibales qui s'approvisionnent en chair fraîche grâce au site eBay. De brefs articles mordants, un peu de sang et beaucoup de sidération. On frémit et on rit. C'est violent, absurde, drôle et sordide à la fois. Le sang coule, les années de prison s'accumulent, mais le lecteur s'amuse et c'est bien l'essentiel.
