Is characteristic function radial functionRadial limits of harmonic conjugate and Hilbert transformTroublesome proof in Functional Analysis with dual vector spaceProperties of compactly supported continuous functionIf a function is radial, then its Hardy-Littlewood maximal function is radial as wellContinuous radial functionsFourier transform of a radial functionHahn Banach Theorem ApplicationLooking for a suitable smooth weight functionProving existence of points in a twice differentiable functionfind all continuous functions…
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Is characteristic function radial function
Radial limits of harmonic conjugate and Hilbert transformTroublesome proof in Functional Analysis with dual vector spaceProperties of compactly supported continuous functionIf a function is radial, then its Hardy-Littlewood maximal function is radial as wellContinuous radial functionsFourier transform of a radial functionHahn Banach Theorem ApplicationLooking for a suitable smooth weight functionProving existence of points in a twice differentiable functionfind all continuous functions…
$begingroup$
I am starting to study the radial function. I am confusing whether the characteristic function
$$
mathbf1_x_1geq 0(x),quad x=(x_1,x_2,x_3)in mathbb R^3
$$
is radial function?.
functional-analysis harmonic-analysis
asked Mar 10 at 19:16
MuniainMuniain
606514
$endgroup$
add a comment |
$begingroup$
I am starting to study the radial function. I am confusing whether the characteristic function
$$
mathbf1_x_1geq 0(x),quad x=(x_1,x_2,x_3)in mathbb R^3
$$
is radial function?.
functional-analysis harmonic-analysis
asked Mar 10 at 19:16
MuniainMuniain
606514
$endgroup$
3
$begingroup$
By radial function do you mean that $f(vecx)=f(vecy)$ whenever $|vecx|=|vecy|$? Because if so you should see immediately that this function cannot be radial.
$endgroup$
– ItsJustVennDiagramsBro
Mar 10 at 19:27
add a comment |
$begingroup$
I am starting to study the radial function. I am confusing whether the characteristic function
$$
mathbf1_x_1geq 0(x),quad x=(x_1,x_2,x_3)in mathbb R^3
$$
is radial function?.
functional-analysis harmonic-analysis
asked Mar 10 at 19:16
MuniainMuniain
606514
$endgroup$
I am starting to study the radial function. I am confusing whether the characteristic function
$$
mathbf1_x_1geq 0(x),quad x=(x_1,x_2,x_3)in mathbb R^3
$$
is radial function?.
functional-analysis harmonic-analysis
functional-analysis harmonic-analysis
asked Mar 10 at 19:16
MuniainMuniain
606514
asked Mar 10 at 19:16
MuniainMuniain
606514
asked Mar 10 at 19:16
MuniainMuniain
606514
asked Mar 10 at 19:16
MuniainMuniain
606514
asked Mar 10 at 19:16
MuniainMuniain
606514
606514
3
$begingroup$
By radial function do you mean that $f(vecx)=f(vecy)$ whenever $|vecx|=|vecy|$? Because if so you should see immediately that this function cannot be radial.
$endgroup$
– ItsJustVennDiagramsBro
Mar 10 at 19:27
add a comment |
3
$begingroup$
By radial function do you mean that $f(vecx)=f(vecy)$ whenever $|vecx|=|vecy|$? Because if so you should see immediately that this function cannot be radial.
$endgroup$
– ItsJustVennDiagramsBro
Mar 10 at 19:27
3
3
$begingroup$
By radial function do you mean that $f(vecx)=f(vecy)$ whenever $|vecx|=|vecy|$? Because if so you should see immediately that this function cannot be radial.
$endgroup$
– ItsJustVennDiagramsBro
Mar 10 at 19:27
$begingroup$
By radial function do you mean that $f(vecx)=f(vecy)$ whenever $|vecx|=|vecy|$? Because if so you should see immediately that this function cannot be radial.
$endgroup$
– ItsJustVennDiagramsBro
Mar 10 at 19:27
add a comment |
0
active
oldest
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3
$begingroup$
By radial function do you mean that $f(vecx)=f(vecy)$ whenever $|vecx|=|vecy|$? Because if so you should see immediately that this function cannot be radial.
$endgroup$
– ItsJustVennDiagramsBro
Mar 10 at 19:27