Alexander M. Kytmanov, Simona G. Myslivets, “Holomorphic continuation of functions along finite families of complex lines in the ball”, J. Sib. Fed. Univ. Math. Phys., 5:4 (2012), 547

Journal of Siberian Federal University. Mathematics & Physics

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive
	Impact factor
	Guidelines for authors

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

J. Sib. Fed. Univ. Math. Phys.:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Journal of Siberian Federal University. Mathematics & Physics, 2012, Volume 5, Issue 4, Pages 547–557 (Mi jsfu268)

This article is cited in 7 scientific papers (total in 7 papers)

Holomorphic continuation of functions along finite families of complex lines in the ball

Alexander M. Kytmanov, Simona G. Myslivets

Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia

Full-text PDF (196 kB) Citations (7)

References:

PDF

HTML

Abstract: In this paper we consider continuous functions given on the boundary of a ball

B

$B$ of

$\mathbb C^n$ ,

$n>1$ and having one-dimensional property of holomorphic extension along the families of complex lines, passing through finite number of points of

$B$ . We study the problem of existence of holomorphic continuation of such functions in a ball

$B$ .

Keywords: holomorphic continuation, Poisson integral.

Received: 29.03.2012
Received in revised form: 30.06.2012
Accepted: 31.08.2012

Document Type: Article

UDC: 517.55

Language: Russian

Citation: Alexander M. Kytmanov, Simona G. Myslivets, “Holomorphic continuation of functions along finite families of complex lines in the ball”, J. Sib. Fed. Univ. Math. Phys., 5:4 (2012), 547–557

Citation in format AMSBIB

\Bibitem{KytMys12}

\by Alexander~M.~Kytmanov, Simona~G.~Myslivets

\paper Holomorphic continuation of functions along finite families of complex lines in the ball

\jour J. Sib. Fed. Univ. Math. Phys.

\yr 2012

\vol 5

\issue 4

\pages 547--557

\mathnet{http://mi.mathnet.ru/jsfu268}

Linking options:

https://www.mathnet.ru/eng/jsfu268

https://www.mathnet.ru/eng/jsfu/v5/i4/p547

This publication is cited in the following 7 articles:

Simona G. Myslivets, “Functions with the one-dimensional holomorphic extension property”, Zhurn. SFU. Ser. Matem. i fiz., 12:4 (2019), 439–443
Kytmanov A.M., Myslivets S.G., “on Functions With One-Dimensional Holomorphic Extension Property in Circular Domains”, Math. Nachr., 292:6 (2019), 1321–1332
Alexander M. Kytmanov, Simona G. Myslivets, “Multidimensional boundary analog of the Hartogs theorem in circular domains”, Zhurn. SFU. Ser. Matem. i fiz., 11:1 (2018), 79–90
A. M. Kytmanov, S. G. Myslivets, “Holomorphic extension of functions along finite families of complex straight lines in an $n$-circular domain”, Siberian Math. J., 57:4 (2016), 618–631
Alexander M. Kytmanov, Simona G. Myslivets, “Holomorphic extension of continuous functions along finite families of complex lines in a ball”, Zhurn. SFU. Ser. Matem. i fiz., 8:3 (2015), 291–302
Kytmanov A.M., Myslivets S.G., “An Analog of the Hartogs Theorem in a Ball of C-N”, Math. Nachr., 288:2-3 (2015), 224–234
V. I. Kuzovatov, A. M. Kytmanov, “On a boundary analog of the Forelli theorem”, Siberian Math. J., 54:5 (2013), 841–856

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Журнал Сибирского федерального университета. Серия "Математика и физика"

Statistics & downloads:
Abstract page:	411
Full-text PDF :	108
References:	72

Registration to the website

Logotypes