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Book Review

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Book Information:

Authors: Aurel Cornea and Gabriela Licea
Title: Order and potential resolvent families of kernels
Additional book information: Lecture Notes in Mathematics, no. 494, Springer-Verlag, Berlin, Heidelberg, New York, 1975, 154 pp., $7.40.

References [Enhancements On Off] (What's this?)

  • 1. H. Cartan and J. Deny, Le principe du maximum en théorie du potentiel et la notion de fonction surharmonique, Acta Sci. Math. Szeged 12 (1950), 81-100. MR 12, 257. MR 37411
  • 2. J. Deny, Familles fondamentales. Noyaux associés, Ann. Inst. Fourier (Grenoble) 3 (1951), 73-101 (1952). MR 16, 698. MR 67262
  • 3. J. L. Doob, Semimartingales and subharmonic functions. Trans. Amer. Math. Soc. 77 (1954), 86-121. MR 16, 269. MR 64347
  • 4. J. L. Doob, A probability approach to the heat equation, Trans. Amer. Math. Soc. 80 (1955), 216-280. MR 18, 76. MR 79376
  • 5. G. A. Hunt, Markoff processes and potentials. I, Illinois J. Math. 1 (1957), 44-93. MR 19, 951. MR 91349
  • 6. G. Lion, Familles d'opérateurs et frontière en théorie du potentiel, Ann. Inst. Fourier (Grenoble) 16 (1966), fasc. 2, 389-453. MR 35 #6207. MR 215366
    7a. G. Mokobodzki, Densité relative de deux potentiels comparables, Séminaire de Probabilités, IV (Univ. Strasbourg, 1968/69), Lecture Notes in Math., vol. 124, Springer-Verlag, Berlin and New York, 1970, pp. 170-194. MR 45 #3747. MR 294679

    7b. G. Mokobodzki, Quelques propriétés remarquables des opérateurs presque positifs, Séminaire de Probabilités, IV (Univ. Strasbourg, 1968/69), Lecture Notes in Math., vol. 124, Springer-Verlag, Berlin and New York, 1970, pp. 195-207. MR 45 #3748. MR 294680

  • 8. G. Mokobodzki, Dualité formelle et représentation intégrale des fonctions excessives, Actes Congrès Internat. Math. (Nice, 1970), vol. 2, Gauthier-Villars, Paris, 1971, pp. 531-535. MR 419809
  • 9. D. Ray, Resolvents, transltion functions, and strongly Markovian processes, Ann. of Math. (2) 70 (1959), 43-72. MR 21 #6027. MR 107302
  • 10. D. W. Stroock, The Kac approach to potential theory. I, J. Math. Mech. 16 (1967), 829-852. MR 34 #8499. MR 208690

Review Information:

Reviewer: P. A. Meyer
Journal: Bull. Amer. Math. Soc. 83 (1977), 672-676
DOI: https://doi.org/10.1090/S0002-9904-1977-14340-1
American Mathematical Society