On the Heat Kernel of a Left Invariant Elliptic Operator

Ovidiu Calin; Der Chen Chang; Yutian Li

doi:10.1007/978-0-8176-8379-5_10

On the Heat Kernel of a Left Invariant Elliptic Operator

Ovidiu Calin, Der Chen Chang^*, Yutian Li

^*Corresponding author for this work

Department of Mathematics

Research output: Chapter in book/report/conference proceeding › Chapter › peer-review

1 Citation (Scopus)

Abstract

The goal of this chapter is to find the heat kernel of a left invariant operator on a Lie group, by using a geometric method involving Hamiltonian formalism.

Original language	English
Title of host publication	Excursions in Harmonic Analysis
Subtitle of host publication	The February Fourier Talks at the Norbert Wiener Center
Editors	Travis D Andrews, Radu Balan, John J. Benedetto, Wojciech Czaja, Kasso A. Okoudjou
Publisher	Birkhäuser Boston - Springer
Pages	197-209
Number of pages	13
Volume	2
Edition	1st
ISBN (Electronic)	9780817683795
ISBN (Print)	9780817683788
DOIs	https://doi.org/10.1007/978-0-8176-8379-5_10
Publication status	Published - 23 Nov 2012

Publication series

Name	Applied and Numerical Harmonic Analysis
ISSN (Print)	2296-5009
ISSN (Electronic)	2296-5017

Scopus Subject Areas

Mathematics(all)

User-Defined Keywords

Curvature
Geodesic
Heat kernel
Lie group

Access to Document

10.1007/978-0-8176-8379-5_10

Cite this

Calin, O., Chang, D. C., & Li, Y. (2012). On the Heat Kernel of a Left Invariant Elliptic Operator. In T. D. Andrews, R. Balan, J. J. Benedetto, W. Czaja, & K. A. Okoudjou (Eds.), Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center (1st ed., Vol. 2, pp. 197-209). (Applied and Numerical Harmonic Analysis). Birkhäuser Boston - Springer. https://doi.org/10.1007/978-0-8176-8379-5_10

Calin, Ovidiu ; Chang, Der Chen ; Li, Yutian. / On the Heat Kernel of a Left Invariant Elliptic Operator. Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center. editor / Travis D Andrews ; Radu Balan ; John J. Benedetto ; Wojciech Czaja ; Kasso A. Okoudjou. Vol. 2 1st. ed. Birkhäuser Boston - Springer, 2012. pp. 197-209 (Applied and Numerical Harmonic Analysis).

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title = "On the Heat Kernel of a Left Invariant Elliptic Operator",

abstract = "The goal of this chapter is to find the heat kernel of a left invariant operator on a Lie group, by using a geometric method involving Hamiltonian formalism.",

keywords = "Curvature, Geodesic, Heat kernel, Lie group",

author = "Ovidiu Calin and Chang, {Der Chen} and Yutian Li",

note = "Funding Information: Acknowledgment This research project is partially supported by an NSF grant DMS-1203845 and Hong Kong RGC competitive earmarked research grants #600607, #601410.",

year = "2012",

month = nov,

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doi = "10.1007/978-0-8176-8379-5_10",

language = "English",

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publisher = "Birkh{\"a}user Boston - Springer",

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Calin, O, Chang, DC & Li, Y 2012, On the Heat Kernel of a Left Invariant Elliptic Operator. in TD Andrews, R Balan, JJ Benedetto, W Czaja & KA Okoudjou (eds), Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center. 1st edn, vol. 2, Applied and Numerical Harmonic Analysis, Birkhäuser Boston - Springer, pp. 197-209. https://doi.org/10.1007/978-0-8176-8379-5_10

On the Heat Kernel of a Left Invariant Elliptic Operator. / Calin, Ovidiu; Chang, Der Chen; Li, Yutian.
Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center. ed. / Travis D Andrews; Radu Balan; John J. Benedetto; Wojciech Czaja; Kasso A. Okoudjou. Vol. 2 1st. ed. Birkhäuser Boston - Springer, 2012. p. 197-209 (Applied and Numerical Harmonic Analysis).

Research output: Chapter in book/report/conference proceeding › Chapter › peer-review

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T1 - On the Heat Kernel of a Left Invariant Elliptic Operator

AU - Calin, Ovidiu

AU - Chang, Der Chen

AU - Li, Yutian

N1 - Funding Information: Acknowledgment This research project is partially supported by an NSF grant DMS-1203845 and Hong Kong RGC competitive earmarked research grants #600607, #601410.

PY - 2012/11/23

Y1 - 2012/11/23

N2 - The goal of this chapter is to find the heat kernel of a left invariant operator on a Lie group, by using a geometric method involving Hamiltonian formalism.

AB - The goal of this chapter is to find the heat kernel of a left invariant operator on a Lie group, by using a geometric method involving Hamiltonian formalism.

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DO - 10.1007/978-0-8176-8379-5_10

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SN - 9780817683788

VL - 2

T3 - Applied and Numerical Harmonic Analysis

SP - 197

EP - 209

BT - Excursions in Harmonic Analysis

A2 - Andrews, Travis D

A2 - Balan, Radu

A2 - Benedetto, John J.

A2 - Czaja, Wojciech

A2 - Okoudjou, Kasso A.

PB - Birkhäuser Boston - Springer

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Calin O, Chang DC, Li Y. On the Heat Kernel of a Left Invariant Elliptic Operator. In Andrews TD, Balan R, Benedetto JJ, Czaja W, Okoudjou KA, editors, Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center. 1st ed. Vol. 2. Birkhäuser Boston - Springer. 2012. p. 197-209. (Applied and Numerical Harmonic Analysis). doi: 10.1007/978-0-8176-8379-5_10

On the Heat Kernel of a Left Invariant Elliptic Operator

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