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Volumn 37, Issue 4, 2010, Pages 361-378

A Cauchy kernel for slice regular functions

Author keywords

Non commutative and regular Cauchy kernel; Representation formula for regular functions; Slice regular quaternionic functions

Indexed keywords


EID: 77951209136     PISSN: 0232704X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10455-009-9191-7     Document Type: Article
Times cited : (69)

References (17)
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    • Fueter R.: Die Funktionentheorie der Differentialgleichungen Δu = 0 und Δ Δu = 0 mit vier reellen Variablen. Comment. Math. Helv. 7, 307-330 (1934).
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    • (1939) Comment. Math. Helv. , vol.12 , pp. 75-80
    • Fueter, R.1
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    • Zeros of regular functions and polynomials of a quaternionic variable
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    • E-print arXiv: 0802.3861v1 [math. CV], in press
    • Gentili, G., Stoppato, C.: The open mapping theorem for quaternionic regular functions, E-print arXiv: 0802. 3861v1 [math. CV], Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), in press.
    • Ann. Sc. Norm. Super. Pisa Cl. Sci. , vol.5
    • Gentili, G.1    Stoppato, C.2
  • 12
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    • A new approach to Cullen-regular functions of a quaternionic variable
    • Gentili G., Struppa D. C.: A new approach to Cullen-regular functions of a quaternionic variable. C. R. Acad. Sci. Paris 342, 741-744 (2006).
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    • Gentili, G.1    Struppa, D.C.2
  • 13
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    • A new theory of regular functions of a quaternionic variable
    • Gentili G., Struppa D. C.: A new theory of regular functions of a quaternionic variable. Adv. Math. 216, 279-301 (2007).
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    • Gentili, G.1    Struppa, D.C.2
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    • On the structure of the set of zeros of quaternionic polynomials
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  • 17
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    • Zeros of quaternion polynomials
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    • Serôdio, R.1    Siu, L.-S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.