The work characterizes open continuous homomorphisms of locally compact groups such that pushforwards of compactly supported distribution symbols of L^p-L^q Fourier multipliers remain symbols of the same type.
TheLš-Fourier transform on locally compact quantum groups
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On a theorem of M. Jodeit Jr. on pushforwards of Fourier multipliers
The work characterizes open continuous homomorphisms of locally compact groups such that pushforwards of compactly supported distribution symbols of L^p-L^q Fourier multipliers remain symbols of the same type.