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)
Harmonic function theory. 2nd ed. (English) Zbl 0959.31001
Graduate Texts in Mathematics. 137. New York, NY: Springer. xi, 259 p. DM 119.00; öS 869.00; sFr. 103.00; £ 41.00; $ 49.95 (2001).
This is a new edition of a nice textbook (for a review of the 1st ed. (Springer 1992) see Zbl 0765.31001) on harmonic functions in Euclidean spaces, suitable for a beginning graduate level course. A chapter on harmonic polynomials and spherical harmonics is completely rewritten, the treatment of the subject being considerably simplified. Some new material is included: a formula for the Laplacian of the Kelvin transform; solvability of the Dirichlet problem for a half-space with continuous data; recent results on Bôcher’s theorem. New exercises are added and numerous minor improvements throughout the text are made.

31-01Textbooks (potential theory)
31B05Harmonic, subharmonic, superharmonic functions (higher-dimensional)
31-04Machine computation, programs (potential theory)
31C05Generalizations of harmonic (subharmonic, superharmonic) functions
Full Text: DOI