Fundamental Solutions on the Heisenberg Group

dc.contributor	陳瑞堂	zh_TW
dc.contributor.author	羅阡豪	zh_TW
dc.contributor.author	Luo, Qian-Hao	en_US
dc.date.accessioned	2019-09-05T01:06:52Z
dc.date.available	2019-05-30
dc.date.available	2019-09-05T01:06:52Z
dc.date.issued	2019
dc.description.abstract	無中文摘要	zh_TW
dc.description.abstract	This paper is an expository note mainly concentrated on section 2,4,5,6 and 7 of Folland and Stein's work. We first review some definitions and properties of CR manifolds,∂ ̅_b complex and Heisenberg groups. We then derive the explicit form of the Laplacian □_b and deduce the problem of □_b to the operator L_α. The major part of the paper is to find the fundamental solutions for L_α on the Heisenberg group and to compute the constant c_α. Last we analyze the solutions of L_α f=g to finish the paper.	en_US
dc.description.sponsorship	數學系	zh_TW
dc.identifier	G060640004S
dc.identifier.uri	http://etds.lib.ntnu.edu.tw/cgi-bin/gs32/gsweb.cgi?o=dstdcdr&s=id=%22G060640004S%22.&%22.id.&
dc.identifier.uri	http://rportal.lib.ntnu.edu.tw:80/handle/20.500.12235/101589
dc.language	英文
dc.subject	CR manifold	zh_TW
dc.subject	Heisenberg group	zh_TW
dc.subject	fundamental solution	zh_TW
dc.subject	CR manifold	en_US
dc.subject	Heisenberg group	en_US
dc.subject	fundamental solution	en_US
dc.title	Fundamental Solutions on the Heisenberg Group	zh_TW
dc.title	Fundamental Solutions on the Heisenberg Group	en_US

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