journal article
Apr 01, 1997
On holomorphy of functions representable by the logarithmic residue formula
Topics
No keywords indexed for this article. Browse by subject →
References
14
[1]
A. M. Aronov and A. M. Kytmanov, “On holomorphy of functions presentable by the Martinelli-Bochner integral,” Fuktsional. Anal. i Prilozhen.,9, No. 3, 83–84 (1975).
[2]
A. M. Kytmanov and L. A. Aîzenberg, “On holomorphy of continuous functions presentable by the Martinelli-Bochner integral,” Izv. Akad. Nauk Armyan. SSR Ser. Mat.,13, No. 2, 158–169 (1978).
[3]
A. V. Romanov, “Convergence of iterations of the Martinelli-Bochner operator and the Cauchy-Riemann equation,” Dokl. Akad. Nauk SSSR,242, No. 4, 780–783 (1978).
[4]
A. M. Kytmanov, “On the {ie311-1} problem for smooth functions and distributions,” Mat. Sb.,181, No. 5, 656–669 (1990).
[5]
A. M. Kytmanov, The Bochner-Martinelli Integral and Its Applications [in Russian], Nauka, Novosibirsk (1992).
[6]
M. L. Agranovskiî and A. M. Semënov, “Boundary analogs of the Hartogs' theorem,” Sibirsk. Mat. Zh.,32, No. 1, 168–170 (1991).
[7]
J. Globevnik and E. L. Stout, “Boundary Morera theorems for holomorphic functions of several complex variables,” Duke Math. J.,64, No. 3, 571–615 (1991).
10.1215/s0012-7094-91-06428-8
[8]
A. M. Kytmanov and S. G. Myslivets, “On a criterion for the existence of a holomorphic continuation of functions on C2,” in: Finite-Dimensional Complex Analysis [in Russian], Krasnoyarsk. Univ., Krasnoyarsk, 1994, pp. 78–92.
[9]
A. M. Kytmanov and S. G. Myslivets, “On functions presentable by the Cauchy-Fantappiè integral of definite type,” in: Complex Analysis and Differential Equations [in Russian], Krasnoyarsk. Univ., Krasnoyarsk, 1996, pp. 96–112.
[10]
L. A. Aîzenberg and A. P. Yuzhakov, Integral Representations and Residues in Multidimensional Complex Analysis [in Russian], Nauka, Novosibirsk (1979).
[11]
L. A. Aîzenberg and Sh. A. Dautov, Differential Forms Orthogonal to Holomorphic Functions or Forms, and Their Properties [in Russian], Nauka, Novosibirsk (1975).
[12]
N. S. Landkof, Fundamentals of Modern Potential Theory [in Russian], Nauka, Moscow (1966).
[13]
E. L. Stout, “The boundary values of holomorphic functions of several complex variables,” Duke Math. J.,4, No. 1, 105–108 (1977).
10.1215/s0012-7094-77-04405-2
[14]
A. E. Tumanov, “Extension ofCR-functions to a wedge from a manifold of finite type,” Mat. Sb.,136, No. 1, 128–139 (1988).
Metrics
3
Citations
14
References
Details
- Published
- Apr 01, 1997
- Vol/Issue
- 38(2)
- Pages
- 302-311
- License
- View
Authors
Cite This Article
A. M. Kytmanov, S. G. Myslivets (1997). On holomorphy of functions representable by the logarithmic residue formula. Siberian Mathematical Journal, 38(2), 302-311. https://doi.org/10.1007/bf02674628
Related
You May Also Like
Sequences of convex functions and estimates of the maximum of the solution of a parabolic equation
N. V. Krylov · 1976
65 citations
Asymptotic behavior of a solution to a boundary value problem in a perforated domain with oscillating boundary
A. G. Belyaev, A. L. Pyatnitskiî · 1998
51 citations