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Lectures on Symplectic Geometry
These notes approximately transcribe a 15-week course on symplectic geometry I taught at UC Berkeley in the Fall of 1997. The course at Berkeley was greatly inspired in content and …
Mathematical Methods in Tomography
The conference was devoted to the discussion of present and future techniques in medical imaging, including 3D x-ray CT, ultrasound and diffraction tomography, and …
Open Quantum Systems I
This is the ?rst in a series of three volumes dedicated to the lecture notes of the Summer School ”Open Quantum Systems” which took place at the Institut Fourier in Grenoble from …
Sobolev Spaces on Riemannian Manifolds
Several books deal with Sobolev spaces on open subsets of R (n), but none yet with Sobolev spaces on Riemannian manifolds, despite the fact that the theory of Sobolev spaces on …
Mathematical Models in the Manufacturing of Glass
This volume presents a review of advanced technological problems in the glass industry and of the mathematics involved. It is amazing that such a seemingly small research area is …
Analytic Functions Smooth up to the Boundary
This research monograph concerns the Nevanlinna factorization of analytic functions smooth, in a sense, up to the boundary. The peculiar properties of such a factorization are …
Tomita's Theory of Modular Hilbert Algebras and its Applications
Tomita-Takesaki Theory in Algebras of Unbounded Operators
These notes are devoted to a systematic study of developing the Tomita-Takesaki theory for von Neumann algebras in unbounded operator algebras called O*-algebras and to its …
Spherical Harmonics and Approximations on the Unit Sphere: An Introduction
These notes provide an introduction to the theory of spherical harmonics in an arbitrary dimension as well as an overview of classical and recent results on some aspects of the …
Elements de Theorie des Matroides
Hodge Cycles, Motives, and Shimura Varieties
This volume collects six related articles. The first is the notes (written by J.S. Milne) of a major part of the seminar "Periodes des Int~grales Abeliennes" given by P. Deligne at …