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Volumn 22, Issue 2, 2003, Pages 275-288

Deriving harmonic functions in higher dimensional spaces

Author keywords

Cauchy Riemann operator; Clifford monogenic functions; Fourier multipliers; Harmonic functions; Singular integrals

Indexed keywords


EID: 0042831484     PISSN: 02322064     EISSN: None     Source Type: Journal    
DOI: 10.4171/ZAA/1145     Document Type: Article
Times cited : (26)

References (10)
  • 1
    • 0003604708 scopus 로고
    • Clifford analysis
    • Boston et al.: Pitman Adv. Publ. Comp.
    • Brackx, F., Delanghe, R. and F. Sommen: Clifford Analysis (Res. Notes in Math.: Vol. 76). Boston et al.: Pitman Adv. Publ. Comp. 1982.
    • (1982) Res. Notes in Math. , vol.76
    • Brackx, F.1    Delanghe, R.2    Sommen, F.3
  • 2
    • 0039081985 scopus 로고
    • The quaternion calculus
    • Deavours, C. A.: The quaternion calculus. Amer. Math. Monthly 80 (1973), 995 -1008.
    • (1973) Amer. Math. Monthly , vol.80 , pp. 995-1008
    • Deavours, C.A.1
  • 3
    • 33847603339 scopus 로고
    • Die funktionentheorie der differentialgleichungen Δu = 0 und ΔΔu = 0 mit vier reellen variablen
    • Fueter, R.: Die Funktionentheorie der Differentialgleichungen Δu = 0 und ΔΔu = 0 mit vier reellen Variablen. Comm. Math. Helv. 7 (1935), 307 - 330.
    • (1935) Comm. Math. Helv. , vol.7 , pp. 307-330
    • Fueter, R.1
  • 4
    • 85157072178 scopus 로고    scopus 로고
    • A generalization of Fueter's theorem
    • to appear
    • Kou, K. I., Qian, T. and F. Sommen: A generalization of Fueter's theorem. Meth. & Appl. Anal. 9 (2003) (to appear).
    • (2003) Meth. & Appl. Anal. , vol.9
    • Kou, K.I.1    Qian, T.2    Sommen, F.3
  • 5
    • 0032361862 scopus 로고    scopus 로고
    • Singular integrals on star-shaped Lipschitz surfaces in the quaternionic space
    • Qian, T.: Singular integrals on star-shaped Lipschitz surfaces in the quaternionic space. Math. Ann. 310 (1998), 601 - 630.
    • (1998) Math. Ann. , vol.310 , pp. 601-630
    • Qian, T.1
  • 7
    • 0042391366 scopus 로고    scopus 로고
    • Fourier analysis on starlike Lipschitz surfaces
    • Qian, T.: Fourier analysis on starlike Lipschitz surfaces. J. Func. Anal. 183 (2001), 370 - 412.
    • (2001) J. Func. Anal. , vol.183 , pp. 370-412
    • Qian, T.1
  • 8
    • 0037968082 scopus 로고
    • Osservazioni sulle serie di potenze nei moduli quadratici
    • Sce, M.: Osservazioni sulle serie di potenze nei moduli quadratici. Atti Acc. Lincei Rend. 23 (1957), 220 - 225.
    • (1957) Atti Acc. Lincei Rend. , vol.23 , pp. 220-225
    • Sce, M.1
  • 9
    • 23044524332 scopus 로고    scopus 로고
    • On a generalization of Fueter's theorem
    • Sommen, F.: On a generalization of Fueter's theorem. Z. Anal. Anw. 19 (2000), 899 - 902.
    • (2000) Z. Anal. Anw. , vol.19 , pp. 899-902
    • Sommen, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.