In a classical paper, Ingham gave a simple proof of an important theorem of Polya on singular points of Dirichlet series under a uniform gap assumption on the exponents. Bernstein generalized Polya's theorem by weakening this gap condition. We give a simpler proof of Bernstein's theorem by applying a recent generalization of Ingham's theorem. Furthermore, we also solve a simultaneous observability problem by using this theory. (C) 2002 Elsevier Science B.V. All rights reserved.
Dirichlet series and simultaneous observability: two problems solved by the same approach / Vilmos, Komornik; Loreti, Paola. - In: SYSTEMS & CONTROL LETTERS. - ISSN 0167-6911. - 48:3-4(2003), pp. 221-227. [10.1016/s0167-6911(02)00267-0]
Dirichlet series and simultaneous observability: two problems solved by the same approach
LORETI, Paola
2003
Abstract
In a classical paper, Ingham gave a simple proof of an important theorem of Polya on singular points of Dirichlet series under a uniform gap assumption on the exponents. Bernstein generalized Polya's theorem by weakening this gap condition. We give a simpler proof of Bernstein's theorem by applying a recent generalization of Ingham's theorem. Furthermore, we also solve a simultaneous observability problem by using this theory. (C) 2002 Elsevier Science B.V. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
