Geodesic
On the extension of exponential polynomials
Mathematica Bohemica, Tome 125 (2000) no. 3, pp. 365-370

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MR Zbl
Exponential polynomials are the building bricks of spectral synthesis. In some cases it happens that exponential polynomials should be extended from subgroups to whole groups. To achieve this aim we prove an extension theorem for exponential polynomials which is based on a classical theorem on the extension of homomorphisms.
Exponential polynomials are the building bricks of spectral synthesis. In some cases it happens that exponential polynomials should be extended from subgroups to whole groups. To achieve this aim we prove an extension theorem for exponential polynomials which is based on a classical theorem on the extension of homomorphisms.
DOI : 10.21136/MB.2000.126126
Classification : 20K99, 39B05, 39B99
Keywords: exponential polynomial; extension; linear functional equation 
Székelyhidi, László. On the extension of exponential polynomials. Mathematica Bohemica, Tome 125 (2000) no. 3, pp. 365-370. doi: 10.21136/MB.2000.126126
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[1] E. Hewitt K. Ross: Abstract Harmonic Analysis I., II. Springer-Verlag, Berlin, 1963.

[2] L. Székelyhidi: Convolution Type Functional Equations on Topological Abelian Groups. World Scientific, Singapore, 1991. | MR

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