메뉴 건너뛰기




Volumn 352, Issue 1, 2012, Pages 113-131

Power series and analyticity over the quaternions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84855208933     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00208-010-0631-2     Document Type: Article
Times cited : (57)

References (17)
  • 1
    • 79953660108 scopus 로고    scopus 로고
    • On some properties of the quaternionic functional calculus
    • Colombo F., Sabadini I.: On some properties of the quaternionic functional calculus. J. Geom. Anal. 19(3), 601-627 (2009).
    • (2009) J. Geom. Anal. , vol.19 , Issue.3 , pp. 601-627
    • Colombo, F.1    Sabadini, I.2
  • 3
    • 39849086627 scopus 로고    scopus 로고
    • A new functional calculus for noncommuting operators
    • Colombo F., Sabadini I., Struppa D. C.: A new functional calculus for noncommuting operators. J. Funct. Anal. 254(8), 2255-2274 (2008).
    • (2008) J. Funct. Anal. , vol.254 , Issue.8 , pp. 2255-2274
    • Colombo, F.1    Sabadini, I.2    Struppa, D.C.3
  • 4
    • 69849112059 scopus 로고    scopus 로고
    • Extension results for slice regular functions of a quaternionic variable
    • Colombo F., Gentili G., Sabadini I., Struppa D.: Extension results for slice regular functions of a quaternionic variable. Adv. Math. 222(5), 1793-1808 (2009).
    • (2009) Adv. Math. , vol.222 , Issue.5 , pp. 1793-1808
    • Colombo, F.1    Gentili, G.2    Sabadini, I.3    Struppa, D.4
  • 6
    • 84972537470 scopus 로고
    • An integral theorem for analytic intrinsic functions on quaternions
    • Cullen C. G.: An integral theorem for analytic intrinsic functions on quaternions. Duke Math. J. 32, 139-148 (1965).
    • (1965) Duke Math. J. , vol.32 , pp. 139-148
    • Cullen, C.G.1
  • 7
    • 0242301737 scopus 로고    scopus 로고
    • Quaternionic analyticity
    • De Leo S., Rotelli P. P.: Quaternionic analyticity. Appl. Math. Lett. 16(7), 1077-1081 (2003).
    • (2003) Appl. Math. Lett. , vol.16 , Issue.7 , pp. 1077-1081
    • de Leo, S.1    Rotelli, P.P.2
  • 8
    • 84966210624 scopus 로고
    • The fundamental theorem of algebra for quaternions
    • Eilenberg S., Niven I.: The fundamental theorem of algebra for quaternions. Bull. Am. Math. Soc. 50, 246-248 (1944).
    • (1944) Bull. Am. Math. Soc. , vol.50 , pp. 246-248
    • Eilenberg, S.1    Niven, I.2
  • 9
    • 59949087387 scopus 로고    scopus 로고
    • Zeros of regular functions and polynomials of a quaternionic variable
    • Gentili G., Stoppato C.: Zeros of regular functions and polynomials of a quaternionic variable. Michigan Math. J. 56(3), 655-667 (2008).
    • (2008) Michigan Math. J. , vol.56 , Issue.3 , pp. 655-667
    • Gentili, G.1    Stoppato, C.2
  • 10
    • 77952728943 scopus 로고    scopus 로고
    • The open mapping theorem for regular quaternionic functions
    • Gentili G., Stoppato C.: The open mapping theorem for regular quaternionic functions. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) VIII(4), 805-815 (2009).
    • (2009) Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) , vol.VIII , Issue.4 , pp. 805-815
    • Gentili, G.1    Stoppato, C.2
  • 11
    • 34548156026 scopus 로고    scopus 로고
    • 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(1), 279-301 (2007).
    • (2007) Adv. Math. , vol.216 , Issue.1 , pp. 279-301
    • Gentili, G.1    Struppa, D.C.2
  • 12
  • 13
    • 0003206289 scopus 로고
    • A first course in noncommutative rings
    • Springer-Verlag, New York
    • Lam, T. Y.: A first course in noncommutative rings. In: Graduate Texts in Mathematics, vol. 131. Springer-Verlag, New York (1991).
    • (1991) Graduate Texts in Mathematics , vol.131
    • Lam, T.Y.1
  • 14
    • 0000003348 scopus 로고
    • Equations in quaternions
    • Niven I.: Equations in quaternions. Am. Math. Monthly 48, 654-661 (1941).
    • (1941) Am. Math. Monthly , vol.48 , pp. 654-661
    • Niven, I.1
  • 15
    • 0035982302 scopus 로고    scopus 로고
    • On the zeros of polynomials over quaternions
    • Pumplün S., Walcher S.: On the zeros of polynomials over quaternions. Commun. Algebra 30(8), 4007-4018 (2002).
    • (2002) Commun. Algebra , vol.30 , Issue.8 , pp. 4007-4018
    • Pumplün, S.1    Walcher, S.2
  • 16
    • 0012187543 scopus 로고
    • Theory of complex functions
    • chap. 5 Sect. 3, Springer-Verlag, New York, Readings in Mathematics
    • Remmert, R.: Theory of complex functions. In: Graduate Texts in Mathematics, chap. 5 Sect. 3, vol. 122, pp. 151-152. Springer-Verlag, New York, Readings in Mathematics (1991).
    • (1991) Graduate Texts in Mathematics , vol.122 , pp. 151-152
    • Remmert, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.