Algebraic methods for the solution of linear functional equations
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- 作者：G. Kiss ; A. Varga ; CS. Vincze
- 关键词：linear functional equation ; spectral analysis ; field homomorphism ; primary 39B22 ; secondary 39B72
- 刊名：Acta Mathematica Hungarica
- 出版年：2015
- 出版时间：June 2015
- 年：2015
- 卷：146
- 期：1
- 页码：128-141
- 全文大小：686 KB
- 参考文献：1.Z. Dar贸czy, Notwendige und hinreichende Bedingungen f眉r die Existenz von nichtkonstanten L枚sungen linearer Funktionalgleichungen, Acta Sci. Math. (Szeged), 22 (1961), 31鈥?1.
2.Varga A.: On additive solutions of a linear equation. Acta Math. Hungar., 128, 15鈥?5 (2010)View Article MATH MathSciNet
3.Varga A., Vincze Cs.: On Dar贸czy鈥檚 problem for additive functions. Publ. Math. Debrecen, 75, 299鈥?10 (2009)MATH MathSciNet
4.A. Varga and Cs. Vincze, On a functional equation containing weighted arithmetic means, International Series of Numerical Mathematics, 157 (2009), 305鈥?15.
5.Zs. P谩les, Extension theorems for functional equations with bisymmetric operators, Aequat. Math., 63 (2002), 266鈥?91.
6.M. Kuczma, An Introduction to the Theory of Functional Equations and Inequalities, Prace Naukowe Universitetu 艢la抬skiego w Katowicach Vol. CDLXXXIX, Pa艅stwowe Wydawnictwo Naukowe 鈥?Universitet 艢la抬ski (Warszawa鈥揔rak贸w鈥揔atowice, 1985).
7.L. Sz茅kelyhidi, On a class of linear functional equations, Publ. Math. Debrecen, 29 (1982), 19鈥?8.
8.M. Laczkovich and G. Sz茅kelyhidi, Harmonic analysis on discrete Abelian groups, Proc. Amer. Math. Soc., 133 (2005), 1581鈥?586.
9.G. Kiss and A. Varga, Existence of nontrivial solutions of linear functional equations, Aequat. Math., 88 (2014), 151鈥?62.
10.M. Laczkovich and G. Kiss, Linear functional equations, differential operators and spectral synthesis, accepted for publication in Aequat. Math.
11.M. Laczkovich and G. Kiss, Non-constant solutions of linear functional equations, in: 49th Int. Symp. on Functional equation (Graz, Austria), June 19鈥?6 (2011), http://鈥媤ww.鈥媢ni-graz.鈥媋t/鈥媕ens.鈥媠chwaiger/鈥婭SFE49/鈥媡alks/鈥媠aturday/鈥婰aczkovich.鈥媝df . - 作者单位：G. Kiss (1)
A. Varga (2)
CS. Vincze (3)
1. Department of Stochastics, Faculty of Natural Sciences, Budapest University of Technology and Economics and MTA-BME Stochastics Research Group (04118), M疟egyetem rkp. 3, 1111, Budapest, Hungary
2. Faculty of Engineering, University of Debrecen, P.O. Box 12., 4010, Debrecen, Hungary
3. Department of Geometry, Institute of Mathematics, Faculty of Science and Technology, University of Debrecen, P.O. Box 12., 4010, Debrecen, Hungary - 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematics
Sciences
Mathematics - 出版者：Akad茅miai Kiad贸, co-published with Springer Science+Business Media B.V., Formerly Kluwer Academic
- ISSN：1588-2632
文摘
The equation $$\sum^{n}_ {i=0} a_{i}f(b_{i}x + (1 - b_{i})y) = 0$$