The heat semigroup and kernel associated with certain non-commutative harmonic oscillators

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概要

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• Kyushu University 21st Century COE Program Development of Dynamic Mathematics with High Functionality九州大学21世紀COEプログラム「機能数理学の構築と展開」A probabilistic construction of the heat semigroup and kernel associatedwith certain non-commutative harmonic oscillators is given. As an application,the unitarily equivalence of the non-commutative harmonic oscillators withthe ordinary ones is shown.

• 九州大学の論文

著者

• TANIGUCHI Setsuo

  Faculty of Mathematics Kyushu University

関連論文

• A WIENER INTEGRAL APPROACH TO NON-COMMUTATIVE HARMONIC OSCILLATORS
• On the Jacobi field approach to stochastic oscillatory integrals with quadratic phase function
• The heat semigroup and kernel associated with certain non-commutative harmonic oscillators

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