Abstract:
Integral representations are established for holomorphic functions in the tubular domain $\tau^+=\mathbf R^4+iV^+$ over the future light cone $V^+$ (i.e. the future tube) of the space of four complex variables. First one gives a description and the corresponding integral representation of holomorphic functions with positive imaginary part in the “generalized unit disk” $ww^*<I$, where $w$ are $2\times2$ complex matrices.
Bibliography: 11 titles.
This publication is cited in the following 11 articles:
Bavrin I.I., “Sharp estimates in the classes of Schur, Carathéodory, and Borel functions”, Dokl. Math., 79:3 (2009), 418–420
Bavrin I., “Sharp Estimates in Classes of Schur and Caratheodory Functions”, Dokl. Math., 70:3 (2004), 908–910
M. K. Kerimov, “Vasiliĭ Sergeevich Vladimirov (on the occasion of his eightieth birthday)”, Comput. Math. Math. Phys., 43:11 (2003), 1541–1549
M. F. Bessmertnyǐ, Interpolation Theory, Systems Theory and Related Topics, 2002, 157
I. Ya. Aref'eva, I. V. Volovich, “Manifolds of constant negative curvature as vacuum solutions in Kaluza–Klein and superstring theories”, Theoret. and Math. Phys., 64:2 (1985), 866–871
N. K. Bose, Multidimensional Systems Theory, 1985, 1
N. N. Bogolyubov, A. A. Logunov, G. I. Marchuk, “Vasilii Sergeevich Vladimirov (on his sixtieth birthday)”, Russian Math. Surveys, 38:1 (1983), 231–243
V. S. Vladimirov, “Holomorphic functions with positive imaginary part in the future tube. IV”, Math. USSR-Sb., 33:3 (1977), 301–325
L. A. Aizenberg, Sh. A. Dautov, “Holomorphic functions of several complex variables with nonnegative real part. Traces of holomorphic and pluriharmonic functions on the Shilov boundary”, Math. USSR-Sb., 28:3 (1976), 301–313
V. S. Vladimirov, “Holomorphic functions with positive imaginary part in the future tube. III”, Math. USSR-Sb., 27:2 (1975), 263–268
V. S. Vladimirov, “Holomorphic functions with positive imaginary part in the future tube. II”, Math. USSR-Sb., 23:4 (1974), 467–482
Citation in format AMSBIB
Contact us: