zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
The pluriharmonic problem in a spherical domain of ${\bbfC}\sp n$ for n$\ge 3$. (Italian. English summary) Zbl 0577.32017
The author presents a finite collection of explicit second order linear partial differential operators on the boundary $b\Omega$ of the unit ball $\Omega$ in ${\bbfC}\sp n$, such that the corresponding homogeneous system of PDE characterizes the boundary values of pluriharmonic functions on $\Omega$, provided $n\ge 3$. The result has also a local version. Similar results were found earlier by {\it T. Audibert} [C.R. Acad. Sci., Paris, Sér. A 284, 1029-1031 (1977; Zbl 0346.31004)] and {\it M. Nacinovich} [Complex analysis, Proc. Summer Sch., Trieste 1980, Lect. Notes Math. 950, 105-195 (1982; Zbl 0513.32029)].
Reviewer: R.M.Range
32U05Plurisubharmonic functions and generalizations
31C10Pluriharmonic and plurisubharmonic functions
35G05General theory of linear higher-order PDE