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Volumn 80, Issue 4, 2003, Pages 406-423

Order theory for isolated points of monogenic functions

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EID: 0037562698     PISSN: 0003889X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00013-003-0091-y     Document Type: Review
Times cited : (9)

References (24)
  • 2
    • 0036379530 scopus 로고    scopus 로고
    • Representation formulas for the general derivatives of the fundamental solution to the Cauchy-Riemann operator in Clifford Analysis and Applications
    • D. CONSTALES and R. S. KRAUSSHAR, Representation formulas for the general derivatives of the fundamental solution to the Cauchy-Riemann operator in Clifford Analysis and Applications. Z. Anal. Anwendungen. 21 (3), 579-597 (2002).
    • (2002) Z. Anal. Anwendungen. , vol.21 , Issue.3 , pp. 579-597
    • Constales, D.1    Krausshar, R.S.2
  • 3
    • 0038622463 scopus 로고
    • On regular points and Liouville's theorem for functions with values in a Clifford algebra
    • R. DELANGHE, On regular points and Liouville's theorem for functions with values in a Clifford algebra, Simon Stevin 44, 55-66 (1970-71).
    • (1970) Simon Stevin , vol.44 , pp. 55-66
    • Delanghe, R.1
  • 4
    • 0010426073 scopus 로고
    • On the singularities of functions with values in a Clifford algebra
    • R. DELANGHE, On the singularities of functions with values in a Clifford algebra. Math. Ann. 196, 293-319 (1972).
    • (1972) Math. Ann. , vol.196 , pp. 293-319
    • Delanghe, R.1
  • 6
    • 0010825980 scopus 로고
    • Residues in Clifford analysis
    • Partial differential equations with complex analysis. H. Begehr and A. Jeffrey eds.
    • R. DELANGHE, F. SOMMEN and V. SOUČEK, Residues in Clifford analysis. In: Partial differential equations with complex analysis. H. Begehr and A. Jeffrey eds. Pitman Res. Notes in Math. Ser. 262, 61-92 (1992).
    • (1992) Pitman Res. Notes in Math. Ser. , vol.262 , pp. 61-92
    • Delanghe, R.1    Sommen, F.2    Souček, V.3
  • 7
    • 0000333669 scopus 로고
    • On the Newtonian potential
    • A. DIXON, On the Newtonian Potential. Quart. J. Math. 35, 283-296 (1904).
    • (1904) Quart. J. Math. , vol.35 , pp. 283-296
    • Dixon, A.1
  • 8
    • 0001126607 scopus 로고
    • Über die analytische darstellung der regulären funktionen einer quaternionenvariablen
    • R. FUETER, Über die analytische Darstellung der regulären Funktionen einer Quaternionenvariablen. Comment. Math. Helv. 8, 371-378 (1935-36).
    • (1935) Comment. Math. Helv. , vol.8 , pp. 371-378
    • Fueter, R.1
  • 9
    • 0010563335 scopus 로고
    • Über vierfachperiodische funktionen
    • R. FUETER, Über vierfachperiodische Funktionen. Monatsh. Math. Phys. 48, 161-69 (1939).
    • (1939) Monatsh. Math. Phys. , vol.48 , pp. 161-169
    • Fueter, R.1
  • 10
    • 0038283543 scopus 로고
    • Über die quaternionenmultiplikation der vierfachperiodischen regulären funktionen
    • R. FUETER, Über die Quaternionenmultiplikation der vierfachperiodischen regulären Funktionen. Experientia 1, 57 (1945).
    • (1945) Experientia , vol.1 , pp. 57
    • Fueter, R.1
  • 11
    • 0003783964 scopus 로고
    • Lecture notes written and supplemented by E. Bareiss, Fall Semester, Math. Inst. Univ. Zürich
    • R. FUETER, Functions of a Hyper Complex Variable. Lecture notes written and supplemented by E. Bareiss, Fall Semester 1948/49, Math. Inst. Univ. Zürich.
    • (1948) Functions of a Hyper Complex Variable
    • Fueter, R.1
  • 12
    • 0037946232 scopus 로고
    • Ueber abelsche funktionen von zwei komplexen variablen
    • R. FUETER, Ueber Abelsche Funktionen von zwei Komplexen Variablen. Ann. Mat. Pura Appl. IV Ser. 28, 211-215 (1949).
    • (1949) Ann. Mat. Pura Appl. IV Ser. , vol.28 , pp. 211-215
    • Fueter, R.1
  • 13
    • 84974534455 scopus 로고    scopus 로고
    • Some remarks on zeroes of monogenic functions
    • T. HEMPFLING, Some remarks on zeroes of monogenic functions. Advances in Appl. Clifford Algebras 11(S2), 107-116 (2001).
    • (2001) Advances in Appl. Clifford Algebras , vol.11 , Issue.S2 , pp. 107-116
    • Hempfling, T.1
  • 16
    • 0010505920 scopus 로고    scopus 로고
    • Eisenstein series in Clifford analysis
    • PhD Thesis RWTH Aachen, Achen
    • R. S. KRAUSSHAR, Eisenstein Series in Clifford Analysis, PhD Thesis RWTH Aachen, Aachener Beiträge zur Mathematik 28, Aachen 2000.
    • (2000) Aachener Beiträge zur Mathematik , vol.28
    • Krausshar, R.S.1
  • 17
    • 0001222658 scopus 로고    scopus 로고
    • Monogenic multiperiodic functions in Clifford analysis
    • R. S. KRAUSSHAR, Monogenic multiperiodic functions in Clifford analysis. Complex Variables 46 no. 4, 337-368 (2001).
    • (2001) Complex Variables , vol.46 , Issue.4 , pp. 337-368
    • Krausshar, R.S.1
  • 18
    • 0010505509 scopus 로고    scopus 로고
    • Generalizations of the complex analytic trigonometric functions to Clifford analysis by Eisenstein series
    • Functional-Analytic and complex methods, their interactions, and Applications to Partial Differential Equations, Austria, 12-16 February 2001) W. Tutschke et al. eds., Singapore
    • R. S. KRAUSSHAR, Generalizations of the complex analytic trigonometric functions to Clifford analysis by Eisenstein series. In Functional-Analytic and complex methods, their interactions, and Applications to Partial Differential Equations (Proceedings of the International Graz Workshop Graz, Austria, 12-16 February 2001) W. Tutschke et al. eds., Singapore, 438-456, 2001.
    • (2001) Proceedings of the International Graz Workshop Graz , pp. 438-456
    • Krausshar, R.S.1
  • 19
    • 0037608209 scopus 로고
    • Lectures published by C. W. Borchardt
    • J. LIOUVILLE, Lectures published by C. W. Borchardt. J. Reine Angew. Math. 88, 277-310 (1880).
    • (1880) J. Reine Angew. Math. , vol.88 , pp. 277-310
    • Liouville, J.1
  • 20
    • 51249193430 scopus 로고
    • Über die singulären gebilde der regulären funktionen einer quaternionenvariablen
    • W. NEF, Über die singulären Gebilde der regulären Funktionen einer Quaternionenvariablen. Comment. Math. Helv. 15, 144-174 (1942-43).
    • (1942) Comment. Math. Helv. , vol.15 , pp. 144-174
    • Nef, W.1
  • 21
    • 51249195186 scopus 로고
    • Die unwesentlichen singularitäten der regulären funktionen einer quaternionenvariablen
    • W. NEF, Die unwesentlichen Singularitäten der regulären Funktionen einer Quaternionenvariablen. Comment. Math. Helv. 16, 284-304 (1943-44).
    • (1943) Comment. Math. Helv. , vol.16 , pp. 284-304
    • Nef, W.1
  • 22
    • 0006414148 scopus 로고
    • Clifford analysis with generalized elliptic and quasi elliptic functions
    • J. RYAN, Clifford Analysis with Generalized Elliptic and Quasi Elliptic Functions. Appl. Anal. 13, 151-171 (1982).
    • (1982) Appl. Anal. , vol.13 , pp. 151-171
    • Ryan, J.1
  • 23
    • 84976115202 scopus 로고
    • Properties of isolated singularities of some functions taking values in a real Clifford algebra
    • J. RYAN, Properties of isolated singularities of some functions taking values in a real Clifford algebra. Math. Proc. Cambridge Philos Soc. 95, 277-298 (1984).
    • (1984) Math. Proc. Cambridge Philos Soc. , vol.95 , pp. 277-298
    • Ryan, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.