Application of the Borel transform to the study of the spectrum of integral equations whose kernels are entire functions of exponential type
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- by Murali Rao and Li-Chien Shen PDF
- Proc. Amer. Math. Soc. 130 (2002), 2287-2294 Request permission
Abstract:
Using the Borel transform, we study the spectrum of a class of non-compact integral operators whose kernels are of exponential type and square integrable on the real line. Our method also enables us to obtain an interesting characterization of a well-known integral equation involving the Bessel function $J_{0}.$References
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Additional Information
- Murali Rao
- Affiliation: Department of Mathematics, University of Florida, Gainesville, Florida 32611
- Email: rao@math.ufl.edu
- Li-Chien Shen
- Affiliation: Department of Mathematics, University of Florida, Gainesville, Florida 32611
- Email: shen@math.ufl.edu
- Received by editor(s): December 19, 2000
- Published electronically: March 25, 2002
- Communicated by: Juha M. Heinonen
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 2287-2294
- MSC (2000): Primary 31A10, 34A25
- DOI: https://doi.org/10.1090/S0002-9939-02-06641-8
- MathSciNet review: 1896410