On solutions of convolution equations in spaces of ultradifferentiable functions
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D. A. Polyakova
Translated by: S. V. Kislyakov - St. Petersburg Math. J. 26 (2015), 949-963
- DOI: https://doi.org/10.1090/spmj/1369
- Published electronically: September 21, 2015
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Abstract:
A representation for a particular and the general solution is established for convolution equations in nonquasianalytic Beurling spaces ultradifferentiable functions of mean type on a finite interval. As a particular case, differential equations of infinite order with constant coefficients are studied.References
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Bibliographic Information
- D. A. Polyakova
- Affiliation: Southern Federal University, ul. Mil′chakova 8a, Rostov-on-Don 344090, Russia; Southern Mathematical Institute, VNTS RAS and RNO-A, ul. Markusa 22, Vladikavkaz 362027, Russia
- Email: forsites1@mail.ru
- Received by editor(s): May 19, 2014
- Published electronically: September 21, 2015
- Additional Notes: Supported by RFBR (grant no. 14-01-31083)
- © Copyright 2015 American Mathematical Society
- Journal: St. Petersburg Math. J. 26 (2015), 949-963
- MSC (2010): Primary 44A35; Secondary 46E10
- DOI: https://doi.org/10.1090/spmj/1369
- MathSciNet review: 3443259