Measures on topological spaces

Journal of Mathematical Sciences

Volumn 91, Issue 4, 1998, Pages 3033-3156

  Bogachev, V I ^a  

^a NONE

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EID: 54549127991     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1007/BF02432851     Document Type: Article

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392. J. K. Pachl, "Measures as functional on uniformly continuous functions," Pad}. J. Math., 82, 515-521 (1979).
393. J. K. Pachl, Mathematical Reviews, 81h 60005b (1981).
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427. D. Ramachandran, "Perfect mixtures of perfect measures," Ann. Probab., 7, No. 3, 444-452 (1979).
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429. D. Ramachandran, "Perfect measures. Pt. I. Basic theory," ISI Lecture Notes, 5, Macmillan Co. of India, Ltd., New Delhi (1979).
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447. C. A. Rogers and J. E. Jayne, "/-analytic sets," In: Analytic Sets, Academic Press, New York (1980), pp. 1-181.
448. L. Rogge, "The convergence determining class of regular open sets," Proc, Amer. Math. Soc., 37, 581-585 (1973).
449. J. Rosinski, "On the convolution of cylindrical measures," Bull. Acad. Polon. Sci., Ser. Sci. Math., 30, Nos. 7-8, 379-383 (1982).
450. K. Ross and K. Stromberg, "Baire sets and Baire measures," Ark. Mat., 6, 151-160 (1965).
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458. H. Sato, "Banach support of a probability measure in a locally convex space," Lect. Notes Math., 526, 221-226 (1976).
459. H. Sato, "Hilbertian support of a probability measure on a Banach space," Lect. Notes Math., 709, 195-205 (1979).
460. A. N. Sazhenkov, "A uniform boundedness principle for topological measures," Mat. Zametki, 31, No. 2, 263-267 (1982).
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462. V. V. Sazonov, "On perfect measures," Izv. Akad. Nauk SSSR, Ser. Mat., 26, No. 3, 391-414 (1962);
463. English translation: Amer. Math. Soc. Transi. (2), 48, 229-254 (1965).
464. V. V. Sazonov and V. N. Tutubalin, "Probability distributions on topological groups," Theor. Probab. Appl., 11, No. 1, 3-55 (1966).
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467. W. Schachermayer, "Measurable and continuous linear functional on spaces of uniformly continuous functions," Lect. Notes Math., 945, 155-166 (1982).
468. H. H. Schaefer, Topological Vector Spaces, Springer-Verlag, Berlin-New York (1971).
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470. A. Schief, "Topological properties of the addition map in spaces of Borel measures," Math. Ann., 282, No. 1, 23-31 (1988).
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476. L. Schwartz, "Certaines propriétés des mesures sur les espaces de Banach, Séminaire Maurey-Schwartz" (1975-1976), Exposé 23, Centre Math., École Polytech., Palaiseau (1976).
477. L. Schwartz, Disintegration of Measures, Tata Institute of Fundamental Research, Bombay (1976).
478. L. Schwartz, "Calculs stochastiques directs sur les trajectoires et propriétés de boreliens porteurs," Lect. Notes Math., 1059, 271-326 (1984).
479. L. Schwartz, "Geometry and probability in Banach spaces," Lect. Notes Math., 852 (1981).
480. W. Scidel, "Supports of Borel measures," Fund. Math., 133, No. 1, 67-80 (1989).
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495. 0. G. Smolyanov, "Measurable linear varieties in products of linear spaces with measure," Mat. Zametki, 5, 623-634 (1969).
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497. 0. G. Smolyanov and S. V. Fomin, "Measures on topological linear spaces," Russian Math. Surveys, 31, 1-53 (1976).
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503. M. Souslin, "Sur une définition des ensembles mesurables B sans nombres transfinis," C.R. Acad. Sci. Paris, 164, No. 2, 89-91 (1917).
504. E. Sparre Andersen and B. Jenssen, "On thé introduction of measures in infinité product sets," Danske Vid. Selsk. Math.-Fys. Medd., 25, No. 4 (1948).
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507. C. Stegall, "The topology of certain spaces of measures," Topol. Appl., 41, No. 1-2, 73-112 (1991).
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510. V. Strassen, "The existence of probability measures with given marginals," Ann. Math. Statist., 36, 423-439 (1965).
511. V. N. Sudakov, "Geometric problems of the theory of infinite-dimensional probability distributions," TT. Mat. Inst. Steklov, 141, 1-190 (1976);
512. English translation: Proc. Steklov Inst. Math., No. 2, 1-178 (1979).
513. A. Sultan, "A general measure extension procedure," Proc. Amer. Math. Soc., 69, 37-45 (1978).
514. C. Sunyach, "Une characterisation des espaces universellement Radon mesurables," C.R. Acad. Sci. Paris, 268, 864-866 (1969).
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516. Y. Takahashi and Y. Okazaki, "0-1 laws of a probability measure on a locally convex space," Publ. Res. Inst. Math. Sci., 22, No. 1, 97-102 (1986).
517. M. Talagrand, "Hyperplans universallement mesurables," C.R. Acad. Sci. Paris, Sér. A, 291, A501A502 (1980).
518. M. Talagrand, "Separabilité vague dans l'espace des mesures sur un compact," Israel J. Math., 37, 171-180 (1980).
519. M. Talagrand, "La τ-régularité des mesures gaussiennes," Z. Wahrsch. und verw. Geb., 57, No. 2, 213-221 (1981).
520. M. Talagrand, "Pettis intégral and measure theory," Memoirs Amer. Math. Soc., 51, No. 307, 1-224 (1984).
521. R. Talamo, "Ultrafilters, classes of ideals and measure theory," Rend. Circ. Mat. Palermo (2), Suppl. No. 4, 115-132 (1984).
522. F. D. Tall, "Applying set theory to measure theory," Lee'. No.s Math., 1033, 295-302 (1983).
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525. V. I. Tarieladze, "Topological description of characteristic functionals on certain groups," Theor. Probab. Appl., 34, No. 4, 719-730 (1989).
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527. F. Topsoe, "A criterion for weak convergence of measures with an application to convergence of measures on 0,1]," Math. Scand., 25, 97-104 (1969).
528. F. Topsoe, "Topology and measure," Led. Notes Math., 133 (1970).
529. F. Topsae, "Compactness in spaces of measures," Studia Math., 36, 195-212 (1970).
530. F. Topsøe, "Compactness and tightness in a space of measures with the topology of weak convergence," Math. Scand., 34, 187-210 (1974).
531. F. Topsøe, "Some special results on convergent sequences of Radon measures," Manuscripta Math., 19, 1-14 (1976).
532. F. Topsøe, "Further results on integral representations," Studia Math., 55, 239-245 (1976).
533. F. Topsøe, "Uniformity in weak convergence with respect to balls in Banach spaces," Math. Scand., 38, 148-158 (1976).
534. F. Topsøe, "On construction of measures," In: Proc. of the Conf. Topology and Measure I (Zinnowitz, 1974), pt. 2, Ernst-Moritz-Arndt Universität, Greifswald (1978), pp. 343-381.
535. F. Topsøe, "Approximating pavings and construction of measures," Colloq. Math., 42, 377-385 (1979).
536. F. Topsøe, "Radon measures, some basic constructions," Le.ct. Notes Math., 1033, 303-311 (1983).
537. F. Topsøe, "The Souslin operation in topology and measure theory, selected topics," In: Proc. of the Conf. Topology and Measure III. Pt. 1, 2. J. Flachsmeyer, Z. Frolik, Ju.M. Smirnov, F. Topsoe, and F. Terpe, eds., Ernst-Moritz-Arndt Universität, Greifswald (1982), pp. 283-312.
538. F. Topsøe and J. Hoffmann-Jorgensen, "Analytic spaces and their applications", In: Analytic sets, Proc. Symp. London Math. Soc., Academic Press, New York (1980), pp. 317-403.
539. A. Tortrat, "Lois e(λ) dans les espaces vectoriels et lois stables," Z. Wahr, theor. verw. Geb., 37, No. 2, 175-182 (1976).
540. A. Tortrat, "τ-Regularité des lois, séparation au sens de A. Tulcea et propriété de Radon-Nikodym," Ann. Inst. H. Poincaré Sect. B (N.S.), 12, No. 2, 131-150 (1976); Addendum, ibid. 13, 43 (1977).
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542. B. S. Tsirelson, "A natural modification of a random process, and its application to series of random functions and to Gaussian measures," Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov (LOMI), 55, 35-63 (1976);
543. Supplement to: "A natural modification of a random process and its application to series of random functions and to Gaussian measures," Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov (LOMI), 72, 202-211 (1977);
544. English translation: J. Sov. Math., 16, 940-956 (1981).
545. T. Traynor, "An elementary proof of the lifting theorem," Pacif. J. Math., 53, No. 1, 267-272 (1974).
546. S. Ulam, "Zur Masstheorie in der allgemeinen Mengenlehre," Fund. Math., 16, 140-150 (1930).
547. K. Urbanik, "Random linear functionals and random integrals," Colloq. Math., 38, No. 2, 255-263 (1975).
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549. N. N. Vakhania, V. I. Tarieladze, and S. A. Chobanyan, Probability Distributions in Banach Spaces, Kluwer Acad. Publ. (1991).
550. M. Valadier, "Désintégration d'une mesure sur un produit," C.R. Acad. Sci. Paris A-B, 276, A33-A35 (1973).
551. M. Valdivia, "On Suslin locally convex spaces," Rev. Real Acad. Cienc. Exact. Fis. Natur. Madrid, 72, No. 2, 215-220 (1978).
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553. V. S. Varadarajan, "Measures on topological spaces," Mat. Sb. (N.S.), 55 (97), 35-100 (1961);
554. English translation: Amer. Math. Soc. Transi. (2), 48, 161-228 (1965).
555. A. M. Vershik and V. N. Sudakov, "Probability measures in infinite-dimensional spaces," Zap. Nauchn. Sem. LOMI, 12, 7-67 (1969);
556. English translation: Seminars in Math., 12, 1-28 (1971).
557. V. G. Vinokurov, "Compact measures and products of Lebesgue spaces," Mat. Sb. (N.S.), 74 (116), 434-472 (1967).
558. D. A. Vladimirov, Boolean Algebras [in Russian], Nauka, Moscow (1969).
559. M. L. Wage, "The dimension of product spaces," Proc. Nail. Acad. Sci. USA, 75, No. 10, 4671-4672 (1978).
560. M. L. Wage, "The product of Radon spaces," Usp. Mat. Nauk, 35, No. 3, 151-153 (1980);
561. English translation: Russian Math. Surveys, 35, 185-187 (1980).
562. D. Wagner, "Survey of measurable selection theorems: an update," Lect. Notes Math., 794, 119-184 (1980).
563. B. B. Wells, Jr., "Weak compactness of measures," Proc. Amer. Math. Soc., 20, 124-134 (1969).
564. R. Wheeler, "Topological measure theory for completely regular spaces and their projective covers," Pacif. J. Math., 82, 565-584 (1979).
565. R. Wheeler, "Extensions of a σ-additive measure to the projective cover," Lect. Notes Math., 794, 81-104 (1980).
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567. M. J. Wichura, "On the construction of almost uniformly convergent random variables with given weakly convergent image laws," Ann. Math. Statist., 41, No. 1, 284-291 (1970).
568. M. J. Wichura, "A note on the weak convergence of stochastic processes," Ann. Math. Statist., 42, No. 5, 1769-1772 (1971).
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571. A. Wisniewski, "Theorem of Kuratowski-Suslin for measurable mappings," Proc. Amer. Math. Soc., 123, No. 5, 1475-1479 (1995).
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574. S. Yu. Zholkov, "On Radon spaces," Dokl. Akad. Nauk SSSR, 262, No. 4, 787-790 (1982);
575. English translation: Sov. Math. Dokl., 25, No. 1, 113-117 (1982).
576. R. E. Zink, "On thé structure of measure spaces," Ada Math., 107, 53-71 (1962).
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