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Abstract
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Let
be a closed
and discrete set. The vector space consisting of all trigonometric sums whose frequencies belong
to
is denoted
by
. Given an
exponent
we
say that
is
-coherent if there exist
a compact set
and a
continuous function
defined on
with
values in
such
that for every
and
every
one has
. Several properties
of
-coherent
sets are proved in this essay.
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To the memory of Salah
Baouendi
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Keywords
mean periodic functions, almost periodic functions,
trigonometric sums
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Mathematical Subject Classification 2010
Primary: 42A32
Secondary: 42B10
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Milestones
Received: 15 January 2019
Revised: 24 July 2019
Accepted: 7 August 2019
Published: 19 January 2020
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