Functional analysis proofs of Abel’s theorems
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- by M. T. Karaev PDF
- Proc. Amer. Math. Soc. 132 (2004), 2327-2329 Request permission
Abstract:
We give alternative proofs to the classical theorems of Abel, using the concept of Berezin symbol.References
- A. Zygmund, Trigonometric series. 2nd ed. Vols. I, II, Cambridge University Press, New York, 1959. MR 0107776
- R. E. Powell and S. M. Shah, Summability theory and applications, Van Nostrand Reinhold, London, 1972.
- Eric Nordgren and Peter Rosenthal, Boundary values of Berezin symbols, Nonselfadjoint operators and related topics (Beer Sheva, 1992) Oper. Theory Adv. Appl., vol. 73, Birkhäuser, Basel, 1994, pp. 362–368. MR 1320554
Additional Information
- M. T. Karaev
- Affiliation: Institute for Mathematics and Mechanics, Azerbaijanian National Academy of Sciences, F.Agaev, 9, 370141 Baku, Azerbaijan
- Address at time of publication: Suleyman Demirel University, Faculty of Arts and Sciences, Department of Mathematics, 32260 Isparta, Turkey
- Email: garayev@fef.sdu.edu.tr
- Received by editor(s): March 3, 2003
- Received by editor(s) in revised form: April 28, 2003
- Published electronically: February 13, 2004
- Communicated by: Joseph A. Ball
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 2327-2329
- MSC (2000): Primary 47A15
- DOI: https://doi.org/10.1090/S0002-9939-04-07354-X
- MathSciNet review: 2052409