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Results tagged with fourier-analysis
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user 86277
The representation of functions (or objects which are in some generalize the notion of function) as constant linear combinations of sines and cosines at integer multiples of a given frequency, as Fourier transforms or as Fourier integrals.
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Ideal structure of group $C^*$-agebras [closed]
Let $G$ be a locally compact groups and $C_r^*(G)$ be a reduce group $C^*$-algebra.
$\ Question:$What is the ideal structure of reduce group $C_r^*(G)$?
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Annihilator property dual
Let $G$ be a locally compact group and $\phi$ be in $ L^{\infty}(G)$ that annihilates $I$, where $I$ is a closed ideal of $ L^1(G)$, so by duality we have:
$$\int_G f(y)\phi(y)dy=0$$
for all $f\in I$ …
- 399
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Annihilator property dual
Really, I prove that if $f\in I$, then $\check{f}\in I$ where $I$ is a closed ideal of $L^1(G)$ and $\check{f}(x)=f(x^{-1})$ for every unimodular group $G$. Therefore since $\phi$ annihilate $I$. so
…
- 399
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Real rank zero of group $C^*$-algebras
The concept of real rank zero of a $C^*$-algebra is introduced as non-commutative analogue of dimension ( topological dimension ). For example, it shown (by Brown-Pedersen) such that, if $X$ is a comp …
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