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The space of all (-variate, one-periodic) functions
is restricted
to the space of
-variate trigonometric polynomials
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The inner product between the frequency
and the time/spatial knot
is defined in the usual way by
.
Furthermore, two vectors may be linked by the pointwise product
with its
inverse
.
For clarity of presentation the multiindex
adresses elements of vectors and matrices as well, i.e.,
the plain index
is not used here.