๐ฟ^{๐}-convolution operators supported by subgroups
๐ฟ^{๐}-convolution operators supported by subgroups
Let <italic>G</italic> be a compact nonabelian group and <italic>H</italic> be a closed subgroup of <italic>G</italic>. Then <italic>H</italic> is a set of spectral synthesis for the Fourier algebra <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper A left-parenthesis upper G right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mi>A</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mi>G</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">A(G)</mml:annotation> </mml:semantics> </mml:math> โฆ