# On the extension of exponential polynomials

Mathematica Bohemica (2000)

- Volume: 125, Issue: 3, page 365-370
- ISSN: 0862-7959

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topSzékelyhidi, László. "On the extension of exponential polynomials." Mathematica Bohemica 125.3 (2000): 365-370. <http://eudml.org/doc/248658>.

@article{Székelyhidi2000,

abstract = {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.},

author = {Székelyhidi, László},

journal = {Mathematica Bohemica},

keywords = {exponential polynomial; extension; linear functional equation; exponential polynomial; extension; linear functional equation},

language = {eng},

number = {3},

pages = {365-370},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {On the extension of exponential polynomials},

url = {http://eudml.org/doc/248658},

volume = {125},

year = {2000},

}

TY - JOUR

AU - Székelyhidi, László

TI - On the extension of exponential polynomials

JO - Mathematica Bohemica

PY - 2000

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 125

IS - 3

SP - 365

EP - 370

AB - 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.

LA - eng

KW - exponential polynomial; extension; linear functional equation; exponential polynomial; extension; linear functional equation

UR - http://eudml.org/doc/248658

ER -

## References

top- E. Hewitt K. Ross, Abstract Harmonic Analysis I., II, Springer-Verlag, Berlin, 1963. (1963)
- L. Székelyhidi, Convolution Type Functional Equations on Topological Abelian Groups, World Scientific, Singapore, 1991. (1991) MR1113488

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