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Abstract
Using the decomposition of the Poisson kernel in terms of the Szego kernel, a decompostion is obtained of the Hardy space of harmonic functions on the unit ball of R^{m+1}.
Keywords
Hardy spaces, functional analysis, harmonic function, monogenic function, unit ball, Poisson kernel decomposition, Szego kernel, Clifford analysis

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Citation

Please use this url to cite or link to this publication:

Chicago
Delanghe, Richard. 2002. “On the Hardy Spaces of Harmonic and Monogenic Functions in the Unit Ball of R^{m+1}.” In Proceedings of the International Conference to Celebrate Robert P Gilbert’s 70th Birthday. Acoustics, Mechanics, and the Related Topics of Mathematical Analysis, ed. Armand Wirgin, 137–142. Singapore, Singapore: World Scientific.
APA
Delanghe, R. (2002). On the Hardy spaces of harmonic and monogenic functions in the unit ball of R^{m+1}. In A. Wirgin (Ed.), Proceedings of the International Conference to Celebrate Robert P Gilbert’s 70th Birthday. Acoustics, Mechanics, and the Related Topics of Mathematical Analysis (pp. 137–142). Presented at the Acoustics, mechanics, and the related topics of mathematical analysis : international conference to celebrate Robert P Gilbert’s 70th birthday, Singapore, Singapore: World Scientific.
Vancouver
1.
Delanghe R. On the Hardy spaces of harmonic and monogenic functions in the unit ball of R^{m+1}. In: Wirgin A, editor. Proceedings of the International Conference to Celebrate Robert P Gilbert’s 70th Birthday. Acoustics, Mechanics, and the Related Topics of Mathematical Analysis. Singapore, Singapore: World Scientific; 2002. p. 137–42.
MLA
Delanghe, Richard. “On the Hardy Spaces of Harmonic and Monogenic Functions in the Unit Ball of R^{m+1}.” Proceedings of the International Conference to Celebrate Robert P Gilbert’s 70th Birthday. Acoustics, Mechanics, and the Related Topics of Mathematical Analysis. Ed. Armand Wirgin. Singapore, Singapore: World Scientific, 2002. 137–142. Print.
@inproceedings{1013773,
  abstract     = {Using the decomposition of the Poisson kernel in terms of the Szego kernel, a decompostion is obtained of the Hardy space of harmonic functions on the unit ball of R\^{ }\{m+1\}.},
  articleno    = {A2004-21-0230-071},
  author       = {Delanghe, Richard},
  booktitle    = {Proceedings of the International Conference to Celebrate Robert P Gilbert's 70th Birthday. Acoustics, Mechanics, and the Related Topics of Mathematical Analysis},
  editor       = {Wirgin, Armand},
  isbn         = {981-238-264-X},
  keyword      = {Hardy spaces,functional analysis,harmonic function,monogenic function,unit ball,Poisson kernel decomposition,Szego kernel,Clifford analysis},
  language     = {eng},
  location     = {Frejus, France},
  pages        = {A2004-21-0230-071:137--A2004-21-0230-071:142},
  publisher    = {World Scientific},
  title        = {On the Hardy spaces of harmonic and monogenic functions in the unit ball of R\^{ }\{m+1\}},
  year         = {2002},
}

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