| Title:
|
Zufällige Gleichungen (German) |
| Title:
|
Random equations (English) |
| Author:
|
Špaček, Antonín |
| Language:
|
German |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
5 |
| Issue:
|
4 |
| Year:
|
1955 |
| Pages:
|
462-466 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
60.0X |
| idZBL:
|
Zbl 0068.32701 |
| idMR:
|
MR0079854 |
| DOI:
|
10.21136/CMJ.1955.100162 |
| . |
| Date available:
|
2008-06-09T12:47:49Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100162 |
| . |
| Reference:
|
[1] S. Banach: Théorie des opérations linéaires.Warszawa 1932. Zbl 0005.20901 |
| Reference:
|
[2] J. L. Doob: Stochastic processes depending on a continuous parameter.Trans. Amer. Math. Soc. 42, (1937), 107-140. Zbl 0017.02701, MR 1501916, 10.1090/S0002-9947-1937-1501916-1 |
| Reference:
|
[3] J. L. Doob: Probability in function space.Bull. Amer. Math. Soc. 53 (1947), 15 - 30. Zbl 0032.03401, MR 0019858, 10.1090/S0002-9904-1947-08728-0 |
| Reference:
|
[4] K. Itô: On a stochastic integral equation.Proc. Japan. Acad. 22 (1946), 32 - 35. MR 0036958 |
| Reference:
|
[5] K. Itô: Stochastic differential equations in a differentiable manifold.Nagoya Math. J. 1 (1950), 35-47. MR 0038596, 10.1017/S0027763000022819 |
| Reference:
|
[6] K. Itô: On stochastic differential equations.Mem. Amer. Math. Soc. 4 (1950). MR 0040618 |
| Reference:
|
[7] A. N. Kolmogorov: Grundbegriffe der Wahrscheinlichkeitsrechnung.Berlin 1933. Zbl 0007.21601 |
| Reference:
|
[8] H. В. Mann: On the realization of stochastic processes by probability distributions in function spaces.Sankhya 11 (1951), 3 - 8. MR 0042627 |
| Reference:
|
[9] L. Pukánsky A. Rényi: On the approximations of measurable functions.Publ. Math. 2 (1951), 146-149. MR 0048547 |
| Reference:
|
[10] A. Špaček: Regularity properties of random transforms.Czechoslovak Math. J. 5 (1955), 143-151. MR 0073869 |
| Reference:
|
[11] M. H. Stone: Applications of the theory of Boolean rings to general topology.Trans. Amer. Math. Soc. 41 (1937), 375-481. Zbl 0017.13502, MR 1501905, 10.1090/S0002-9947-1937-1501905-7 |
| . |
