Linear functional equations, differential operators and spectral synthesis
نویسندگان
چکیده
منابع مشابه
Linear functional equations, differential operators and spectral synthesis
We investigate the functional equation ∑n i=1 aif(bix + ciy) = 0, where ai, bi, ci ∈ C, and the unknown function f is defined on the field K = Q(b1, . . . , bn, c1, . . . , cn). (It is easy to see that every solution on K can be extended to C as a solution.) Let S1 denote the set of additive solutions defined on K. We prove that S1 is spanned by S1 ∩ D, where D is the set of the functions φ ◦ D...
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∗ School of Information and Control, Nanjing University of Information Science and Technology, Nanjing 210044, PR China. (e-mail: [email protected]). ∗∗ School of Matter, Transport and Energy, Arizona State University, Tempe, AZ 85287, USA. (e-mail: [email protected]) ∗∗∗ Department of Mechanical and Industrial Engineering, Southern Illinois University, Edwardsville, IL 62026, USA. (e-mail: kgu@siue....
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ژورنال
عنوان ژورنال: Aequationes mathematicae
سال: 2014
ISSN: 0001-9054,1420-8903
DOI: 10.1007/s00010-014-0269-3