Potential theoretic analysis of a certain integral equation

Potential theoretic analysis of a certain integral equation
HTML articles powered by AMS MathViewer

Trans. Amer. Math. Soc. 129 (1967), 218-248

DOI: https://doi.org/10.1090/S0002-9947-1967-0219143-6

PDF | Request permission

References

M. Brelot, Éléments de la théorie classique du potentiel, “Les Cours de Sorbonne”, vol. 3, Centre de Documentation Universitaire, Paris, 1959 (French). MR 0106366

Introduction axiomatique de l’effilement

57

M. Brelot and J. L. Doob, Limites angulaires et limites fines, Ann. Inst. Fourier (Grenoble) 13 (1963), no. fasc. 2, 395–415 (French). MR 196107
J. L. Doob, Semimartingales and subharmonic functions, Trans. Amer. Math. Soc. 77 (1954), 86–121. MR 64347, DOI 10.1090/S0002-9947-1954-0064347-X
J. L. Doob, Conditional Brownian motion and the boundary limits of harmonic functions, Bull. Soc. Math. France 85 (1957), 431–458. MR 109961
J. L. Doob, Discrete potential theory and boundaries, J. Math. Mech. 8 (1959), 433–458; erratum 993. MR 0107098, DOI 10.1512/iumj.1959.8.58063
J. L. Doob, A non-probabilistic proof of the relative Fatou theorem, Ann. Inst. Fourier (Grenoble) 9 (1959), 293–300. MR 117454
J. L. Doob, J. L. Snell, and R. E. Williamson, Application of boundary theory to sums of independent random variables. , Contributions to probability and statistics, Stanford Univ. Press, Stanford, Calif., 1960, pp. 182–197. MR 0120667

Markov processes

Edwin Hewitt and Leonard J. Savage, Symmetric measures on Cartesian products, Trans. Amer. Math. Soc. 80 (1955), 470–501. MR 76206, DOI 10.1090/S0002-9947-1955-0076206-8

Markov processes and potentials

1

2

Probability theory

Robert S. Martin, Minimal positive harmonic functions, Trans. Amer. Math. Soc. 49 (1941), 137–172. MR 3919, DOI 10.1090/S0002-9947-1941-0003919-6
Linda Naïm, Sur le rôle de la frontière de R. S. Martin dans la théorie du potentiel, Ann. Inst. Fourier (Grenoble) 7 (1957), 183–281 (French). MR 100174
G. Placzek, On the theory of the slowing down of neutrons in heavy substances, Phys. Rev. (2) 69 (1946), 423–438. MR 16527
Morton Slater and Herbert S. Wilf, A class of linear differential-difference equations, Pacific J. Math. 10 (1960), 1419–1427. MR 126032
Frank Spitzer, Principles of random walk, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London, 1964. MR 0171290
Elmer Tolsted, Non-tangential limits of subharmonic functions, Proc. London Math. Soc. (3) 7 (1957), 321–333. MR 94597, DOI 10.1112/plms/s3-7.1.321
Takesi Watanabe, A probabilistic method in Hausdorff moment problem and Laplace-Stieltjes transform, J. Math. Soc. Japan 12 (1960), 192–206. MR 120683, DOI 10.2969/jmsj/01220192