Szegö projections for hardy spaces of monogenic functions and applications

Swanhild Bernstein, Loredana Lanzani

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

We introduce Szegö projections for Hardy spaces of monogenic functions defined on a bounded domain Ω in □n. We use such projections to obtain explicit orthogonal decompositions for L 2 (bΩ). As an application, we obtain an explicit representation of the solution of the Dirichlet problem for balls and half spaces with L 2, Clifford algebra-valued, boundary datum.

Original languageEnglish (US)
Pages (from-to)613-624
Number of pages12
JournalInternational Journal of Mathematics and Mathematical Sciences
Volume29
Issue number10
DOIs
StatePublished - 2002
Externally publishedYes

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Monogenic Functions
Hardy Space
Projection
Orthogonal Decomposition
Clifford Algebra
Half-space
Dirichlet Problem
Bounded Domain
Ball

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

Cite this

Szegö projections for hardy spaces of monogenic functions and applications. / Bernstein, Swanhild; Lanzani, Loredana.

In: International Journal of Mathematics and Mathematical Sciences, Vol. 29, No. 10, 2002, p. 613-624.

Research output: Contribution to journalArticle

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