A note on solutions to the Wiener-Hopf equation with positive kernel
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- by J. Mineka PDF
- Proc. Amer. Math. Soc. 38 (1973), 361-364 Request permission
Abstract:
For the Wiener-Hopf equation with positive kernel, $n > 0$ an integer, either (1) there is a unique solution with bounded $n$th order differences, or (2) there is a unique solution with $n$th order differences approaching zero, or (3) there is no solution with bounded differences. Necessary and sufficient conditions for (1), (2) and (3) are formulated probabilistically.References
- William Feller, An introduction to probability theory and its applications. Vol. II, John Wiley & Sons, Inc., New York-London-Sydney, 1966. MR 0210154
- 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, DOI 10.1007/978-1-4757-4229-9
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 38 (1973), 361-364
- MSC: Primary 39A10; Secondary 47B35, 60J10
- DOI: https://doi.org/10.1090/S0002-9939-1973-0312101-0
- MathSciNet review: 0312101