Holomorphic functions with positive imaginary part in the future tube
Sbornik. Mathematics, Tome 22 (1974) no. 1, pp. 1-16
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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” $ww^*$, where $w$ are $2\times2$ complex matrices.
Bibliography: 11 titles.
@article{SM_1974_22_1_a0,
author = {V. S. Vladimirov},
title = {Holomorphic functions with positive imaginary part in the future tube},
journal = {Sbornik. Mathematics},
pages = {1--16},
publisher = {mathdoc},
volume = {22},
number = {1},
year = {1974},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1974_22_1_a0/}
}
V. S. Vladimirov. Holomorphic functions with positive imaginary part in the future tube. Sbornik. Mathematics, Tome 22 (1974) no. 1, pp. 1-16. http://geodesic.mathdoc.fr/item/SM_1974_22_1_a0/