Laguerre calculus and its applications on the Heisenberg group /

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Bibliographic Details
Author / Creator:Berenstein, Carlos A.
Imprint:Providence, R.I. : American Mathematical Society ; [S.l.] : International Press, c2001.
Description:xii, 319 p. : ill. ; 27 cm.
Language:English
Series:AMS/IP studies in advanced mathematics ; v. 22
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/4493475
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Other authors / contributors:Chang, Der-chen E.
Tie, Jingzhi, 1964-
ISBN:0821827618 (alk. paper)
Notes:Includes bibliographical references.
Table of Contents:
  • The Laguerre calculus
  • Estimates for powers of the sub-Laplacian
  • Estimates for the spectrum projection operators of the sub-Laplacian
  • The inverse of the operator $\square_{{\alpha}} = {{\sum}}^n_{{j=1}}({{X^2_j}} - {{X^2_{{j+n}}}}) - 2i{{\alpha}}$T
  • The explicit solution of the $\bar{{\partial}}$-Neumann problem in a non-isotropic Siegel domain
  • Injectivity of the Pompeiu transform in the isotropic H$_n$
  • Morera-type theorems for holomorphic
  • $\mathcal H^p$ spaces in H$_n$ (I)
  • Morera-type theorems for holomorphic $\mathcal H^p$ spaces in H$_n$ (II)