### Abstract

The major purpose of this paper is to investigate some small time asymptotic properties of certain diffusion equations of the form where Δ is in a class of second order hypoelliptic differential operators on a connected m-dimensional manifold M, and where Γ_{x}(y) is the Dirac Γ-function in the variable y ∈ M supported at the point x ∈ M.

Original language | English (US) |
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Pages (from-to) | 379-399 |

Number of pages | 21 |

Journal | Pacific Journal of Mathematics |

Volume | 136 |

Issue number | 2 |

State | Published - 1989 |

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### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

**Off diagonal asymptotics of hypoelliptic diffusion equations and singular Riemannian geometry.** / Taylor, Thomas.

Research output: Contribution to journal › Article

*Pacific Journal of Mathematics*, vol. 136, no. 2, pp. 379-399.

}

TY - JOUR

T1 - Off diagonal asymptotics of hypoelliptic diffusion equations and singular Riemannian geometry

AU - Taylor, Thomas

PY - 1989

Y1 - 1989

N2 - The major purpose of this paper is to investigate some small time asymptotic properties of certain diffusion equations of the form where Δ is in a class of second order hypoelliptic differential operators on a connected m-dimensional manifold M, and where Γx(y) is the Dirac Γ-function in the variable y ∈ M supported at the point x ∈ M.

AB - The major purpose of this paper is to investigate some small time asymptotic properties of certain diffusion equations of the form where Δ is in a class of second order hypoelliptic differential operators on a connected m-dimensional manifold M, and where Γx(y) is the Dirac Γ-function in the variable y ∈ M supported at the point x ∈ M.

UR - http://www.scopus.com/inward/record.url?scp=84972551062&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84972551062&partnerID=8YFLogxK

M3 - Article

VL - 136

SP - 379

EP - 399

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

SN - 0030-8730

IS - 2

ER -