## Stable processes and integral equations

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- by Harold Widom PDF
- Trans. Amer. Math. Soc.
**98**(1961), 430-449 Request permission

## References

- Torsten Carleman,
*Über die Abelsche Integralgleichung mit konstanten Integrationsgrenzen*, Math. Z.**15**(1922), no. 1, 111–120 (German). MR**1544560**, DOI 10.1007/BF01494386 - Joanne Elliott,
*Absorbing barrier processes connected with the symmetric stable densities*, Illinois J. Math.**3**(1959), 200–216. MR**102754** - P. Erdös and M. Kac,
*On certain limit theorems of the theory of probability*, Bull. Amer. Math. Soc.**52**(1946), 292–302. MR**15705**, DOI 10.1090/S0002-9904-1946-08560-2 - R. K. Getoor,
*First passage times for symmetric stable processes in space*, Trans. Amer. Math. Soc.**101**(1961), 75–90. MR**137148**, DOI 10.1090/S0002-9947-1961-0137148-5 - M. Kac,
*On some connections between probability theory and differential and integral equations*, Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability, 1950, University of California Press, Berkeley-Los Angeles, Calif., 1951, pp. 189–215. MR**0045333** - M. Kac, W. L. Murdock, and G. Szegö,
*On the eigenvalues of certain Hermitian forms*, J. Rational Mech. Anal.**2**(1953), 767–800. MR**59482**, DOI 10.1512/iumj.1953.2.52034 - Mark Kac and Harry Pollard,
*The distribution of the maximum of partial sums of independent random variables*, Canad. J. Math.**2**(1950), 375–384. MR**36465**, DOI 10.4153/cjm-1950-034-9 - Ernest G. Kimme,
*On the convergence of sequences of stochastic processes*, Trans. Amer. Math. Soc.**84**(1957), 208–229. MR**83843**, DOI 10.1090/S0002-9947-1957-0083843-5 - Seymour V. Parter,
*Extreme eigenvalues of Toeplitz forms and applications to elliptic difference equations*, Trans. Amer. Math. Soc.**99**(1961), 153–192. MR**120492**, DOI 10.1090/S0002-9947-1961-0120492-5 - Daniel Ray,
*Stable processes with an absorbing barrier*, Trans. Amer. Math. Soc.**89**(1958), 16–24. MR**105178**, DOI 10.1090/S0002-9947-1958-0105178-5 - Frank Spitzer,
*Some theorems concerning $2$-dimensional Brownian motion*, Trans. Amer. Math. Soc.**87**(1958), 187–197. MR**104296**, DOI 10.1090/S0002-9947-1958-0104296-5 - Harold Widom,
*On the eigenvalues of certain Hermitian operators*, Trans. Amer. Math. Soc.**88**(1958), 491–522. MR**98321**, DOI 10.1090/S0002-9947-1958-0098321-8

## Additional Information

- © Copyright 1961 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**98**(1961), 430-449 - MSC: Primary 60.00; Secondary 45.00
- DOI: https://doi.org/10.1090/S0002-9947-1961-0121882-7
- MathSciNet review: 0121882