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A constructive implementation of the Cartan-Kähler theory of exterior differential systems

✍ Scribed by David Hartley; Robin W. Tucker

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
733 KB
Volume
12
Category
Article
ISSN
0747-7171

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✦ Synopsis

An efficient algorithm for the construction of a regular chain of involutlve integral elements for a general exterior differential system is presented, It is based upon the existence theorems of the Gartan-Kb..~ler theory~ and may be used to analyse partial differential equations by formulating them as exterior differential systems.

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Construction of self-adjoint Berezin–Toe
Construction of self-adjoint Berezin–Toeplitz operators on Kähler manifolds and a probabilistic representation of the associated semigroups
✍ Bernhard G. Bodmann 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 269 KB

We investigate a class of operators resulting from a quantization scheme attributed to Berezin. These so-called Berezin-Toeplitz operators are defined on a Hilbert space of square-integrable holomorphic sections in a line bundle over the classical phase space. As a first goal we develop self-adjoint