Integral representation of n -variable positive real functions

Jiří Gregor

Commentationes Mathematicae Universitatis Carolinae (1980)

  • Volume: 021, Issue: 4, page 707-717
  • ISSN: 0010-2628

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Gregor, Jiří. "Integral representation of $n$-variable positive real functions." Commentationes Mathematicae Universitatis Carolinae 021.4 (1980): 707-717. <http://eudml.org/doc/17072>.

@article{Gregor1980,
author = {Gregor, Jiří},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {functions with positive real part; integral representations; Bergman kernel; Bergman-Silov boundary},
language = {eng},
number = {4},
pages = {707-717},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Integral representation of $n$-variable positive real functions},
url = {http://eudml.org/doc/17072},
volume = {021},
year = {1980},
}

TY - JOUR
AU - Gregor, Jiří
TI - Integral representation of $n$-variable positive real functions
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1980
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 021
IS - 4
SP - 707
EP - 717
LA - eng
KW - functions with positive real part; integral representations; Bergman kernel; Bergman-Silov boundary
UR - http://eudml.org/doc/17072
ER -

References

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  1. AJZENBERG L. A., JEGORYČEV G. P., Intěgralnyje predstavlenija s jadrami Szegö dlja funkcij golomorfnych v neograničennych n-krugovych oblastjach, Dokl. AN SSSR, Tom 231 (1976), No. 2, 265-268. (1976) MR0442269
  2. GREOOR J., On integral representation of multivariable positive real functions, Proc. of the Coll. on Microware Comm., Budapest 1978, 11-4/23.1 - 11-4/ 23.4. (1978) 
  3. KORÁNYI A., PUKÁNSZKY L., Holomorphic functions with positive real part on poly cylinders, Trans. Amer. Math, Soc. 108, No. 3 (1963), 449-456. (1963) MR0159029
  4. LOЀVE M., Probability Theory, (Russian edition: Teorija věrojatnostěj, IIL, Moskva 1962). (1962) 
  5. ZYGMUND A., Trigonometric Series, Univ. Press, Cambridge, 1959. (1959) Zbl0085.05601MR0107776

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