A Hamiltonian Path Integral for a Degenerate Parabolic Pseudo-Differential Operator

A Hamiltonian Path Integral for a Degenerate Parabolic Pseudo-Differential Operator
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简并抛物型伪微分算子的哈密顿路径积分

DOI:
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发表时间:
1996
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通讯作者:
Naoto Kumano
Naoto Kumano
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文献类型:
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作者:
Naoto Kumano

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m(> 0)阶退化抛物型伪微分算子的基本解的符号可以用哈密顿路径积分来描述。该Hamilton路径积分在符号类SS2 m λ,ρ,δ的拓扑中和符号类S0的弱拓扑中收敛。
The symbol of the fundamental solution for a degen- erate parabolic pseudo-differential operator of order m (> 0) can be described in terms of a Hamiltonian path integral. This Hamiltonian path integral converges in the topology of the symbol class S S 2m λ,ρ,δ and in the weak topology of the symbol class S 0 .