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On integration in Banach spaces, XI. Integration with respect to polymeasures
Czechoslovak Mathematical Journal, Tome 40 (1990) no. 1, pp. 8-24

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DOI : 10.21136/CMJ.1990.102355
Classification : 28B05, 46G10 
Dobrakov, Ivan. On integration in Banach spaces, XI.  Integration with respect to polymeasures. Czechoslovak Mathematical Journal, Tome 40 (1990) no. 1, pp. 8-24. doi: 10.21136/CMJ.1990.102355
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[1] Chang D. K., Rao M. M.: Bimeasures and sampling theorems for weakly harmonizable processes. Stochastic Anal. Appl. 1 (1983), 21-55. | DOI | MR | Zbl

[2] Chang D. K., Rao M. M.: Bimeasures and nonstationary processes. Real and Stochastic Analysis, 7-118, Wiley Ser. Probab. Math. Statist., Wiley, New York, 1986. | MR | Zbl

[3] Diestel J., Uhl J. J.: Vector measures. Amer. Math. Soc. Surveys, No. 15, Providence, 1977. | MR | Zbl

[4] Diestel J.: Sequences and Series in Banach spaces. Graduate Texts in Mathematics 92, Springer-Verlag, New York-Berlin-Heidelberg-Tokyo, 1984. | MR

[5] Dobrakov I.: On integration in Banach spaces, I. Czech. Math. J. 20 (95), (1970), 511 - 536. | MR | Zbl

[6] Dobrakov I.: On integration in Banach spaces, II. Czech. Math. J. 20 (95), (1970), 680-695. | MR | Zbl

[7] Dobrakov I.: On integration in Banach spaces, III. Czech. Math. J. 29 (104), (1979), 478-499. | MR | Zbl

[8] Dobrakov I.: On integration in Banach spaces, IV. Czech. Math. J. 30 (105), (1980), 259-279. | MR | Zbl

[9] Dobrakov I.: On integration in Banach spaces,V. Czech.Math.J. 30 (105), (1980), 610-628. | MR | Zbl

[10] Dobrakov I., Morales P.: On integration in Banach spacees, VI. Czech. Math. J. 35 (110), (1985), 173-187. | MR

[11] Dobrakov I.: On integration in Banach spaces, VII. Czech. Math. J.38(113),(1988),434-449. | MR | Zbl

[12] Dobrakov I.: On integration in Banach spaces, VIII (Polymeasures). Czech. Math. J. 37 (112), (1987), 487-506. | MR | Zbl

[13] Dobrakov I.: On integration in Banach spaces, IX (Integration with respect to polymeasures). Czech. Math. J. 38 (113), (1988), 589-601. | MR | Zbl

[14] Dobrakov I.: On integration in Banach spaces, X (Integration with respect to polymeasures). Czech. Math. J. 38 (113), (1988), 713-725. | Zbl

[15] Dobrakov I.: Remarks on the integrability in Banach spaces. Math. Slovaca 36, 1986, 323-327. | MR | Zbl

[16] Dobrakov I.: On representation oflinear operators on $ХС\sb{0}(Т,X)$. Czech. Math. J. 21 (96), (1971), 13-30. | MR

[17] Dobrakov I.: On Lebesgue pseudonorms on $ХС\sb{0}(Т)$. Math. Slovaca 32, 1982, 327-333. | MR

[18] Dobrakov I.: Representation ofmultilinear operators on $ХС\sb{0}(Т\sb{i))$. Czech. Math. J. 39 (114), (1989),288-302. | MR

[19] Dobrakov I.: Representation ofmultilinear operators on $ХС\sb{0}(Т\sb{i}, X\sb{i})$. Atti Sem. Mat.Fis. Univ. Modena (to appear).

[20] Dobrakov I.: On extension of vector polymeasures. Czech. Math. J. 38 (113), (1988), 88-94. | MR | Zbl

[21] Dobrakov I.: On submeasures, I. Dissertationes Math. 112, Warszawa, 1974. | MR | Zbl

[22] Dobrakov I., Farková J.: On submeasures, II. Math. Slovaca 30, (1980), 65-81. | MR

[23] Jefferies B.: Radon polymeasures. Bull. Austral. Math. Soc. 32, (1985), 207-215. | DOI | MR | Zbl

[24] Kakihara Y.: A note on harmonizable and V-bounded processes. J. Multivariate Anal. 16, (1985), 140-156. | DOI | MR | Zbl

[25] Kakihara Y.: Some remarks on Hilbert space valued stochastic processes. Research Activities7,(1985),9-17. | MR

[26] Kakihara Y.: Strongly and weakly harmonizable stochastic processes of H-valued random variables. J. Multivariate Anal. 18, (1986), 127-137. | DOI | MR | Zbl

[27] Katsaras A. K.: Bimeasures on topological spaces. Glasnik Matematički 20 (40), (1985), 35-49. | MR | Zbl

[28] Kluvánek I.: Remarks on bimeasures. Proc. Amer. Math. Soc. 81 (1981), 233 - 239. | DOI | MR

[29] Merzbach E., Zakai M.: Bimeasures and measures induced by planar stochastic integrators. J. Multivariate Anal. 19, (1986), 67-87. | DOI | MR

[30] Morse M.: Bimeasures and their integral extensions. Ann. Mat. Pura Appl. (4) 39, (1955), 345-356. | DOI | MR | Zbl

[31] Morse M., Transue W.: Integral representations ofbilinear functionals. Proc. Nat. Acad. Sci. U.S.A. 35, 1949, 136-143. | DOI | MR

[32] Morse M., Transue W.: C-bimeasures A and their superior integrals A*. Rend. Circ. Mat. Palermo, (2) 4, (1955), 270-300. | DOI | MR

[33] Morse M., Transue W.: C-bimeasures A and their integral extensions. Ann. of Math. (2) 64, (1956), 480-504. | DOI | MR

[34] Morse M., Transue W.: The representation ofa bimeasure on a rectangle. Proc. Nat.Acad. Sci. U.S.A., 42, (1956), 89-95. | DOI | MR

[35] Niemi H.: On the support of a bimeasure and orthogonally scattered vector measures. Ann. Acad. Sci. Fenn. Ser. A I Math. 7 (1975), no. 2, 249-275. | DOI | MR | Zbl

[36] Rao M. M.: Harmonizable processes: Structure theory. L'Einseignement math., $II^e$ sér. 28, fasc. 3-4, 1982. | MR | Zbl

[37] Thomas E.: L'intégration par rapport a une mesure de Radon vectorielle. Ann. Inst. Fourier Grenoble, 20, (1970), 55-191. | DOI | MR | Zbl

[38] Ylinen K.: Fourier transforms of noncommutative analogues of vector measures and bimeasures with applications to stochastic processes. Ann. Acad. Sci. Fenn. Ser. A I, 7, (1975),355-385. | MR | Zbl

[39] YIinen K.: On vector bimeasures. Annali Mat.Pura Appl. (4) 777, (1978), 115-138. | MR

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