Sentence examples for heat operator from inspiring English sources

We consider the generalized Segal Bargmann transform, defined in terms of the heat operator, for a noncompact symmetric space of the complex type.

This extends a result of Ji and Weber [17] where it was shown that under identical conditions the heat operator is subspace-chaotic on these spaces.

We introduce the space of trace polynomials, and use it to give effective computational methods to determine the action of the heat operator, and thus the Segal Bargmann transform.

It is shown that the heat operator in the Hall coherent state transform for a compact Lie group K (J. Funct. Anal. 122 (1994) 103 151) is related with a Hermitian connection associated to a natural one-parameter family of complex structures on T∗K.

The resulting point fields are given by convolutions of two kinds of independent point fields: the so-called boson processes whose generating functionals are represented by the inverses of the Fredholm determinants for operators related to the heat operator and the point fields whose generating functionals are represented by the resolvents of the operators.

We will adopt the spirit of the proof for the heat operator as in [34].

In a joint work with R. Seeley, a calculus of weakly parametric pseudodifferential operators on closed manifolds was introduced and used to obtain complete asymptotic expansions of traces of resolvents and heat operators associated with the Atiyah Patodi Singer problem.

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