On the extension of exponential polynomials
Mathematica Bohemica (2000)
- Volume: 125, Issue: 3, page 365-370
- ISSN: 0862-7959
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Abstract
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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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