Generalized Appell bases |
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| Authors: | M Maldonado J Prada M J Senosiain |
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| Institution: | Department of Mathematics, Faculty of Science, University of Salamanca, Plaza de la Merced 1-4, 37008 Salamanca, Spain. Phone: +34 923 294 460, Fax: +34 923 29 999, Phone: +34 923 294 460, Fax: +34 923 29 999 |
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| Abstract: | In the context of Köthe spaces we study the bases related with the backward unilateral weighted shift operator, the so-called generalized derivation operator, extending known results for spaces of analytic functions. These bases are a subclass of Sheffer sequences called generalized Appell sequences and they are closely connected with the isomorphisms invariant by the weighted shift. We use methods of the non classical umbral calculi to give conditions for a generalized Appell sequence to be a basis. |
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| Keywords: | Appell sequences umbral calculus MSC (2010) 47B37 46A45 05A40 |
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