A multiplier theorem for Fourier transforms
A multiplier theorem for Fourier transforms
A function <italic>f</italic> analytic in the upper half-plane <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="normal upper Pi Superscript plus"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mi mathvariant="normal">Π<!-- Π --></mml:mi> <mml:mo>+</mml:mo> </mml:msup> </mml:mrow> <mml:annotation encoding="application/x-tex">{\Pi ^ + }</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is said to be of class <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper E Subscript p …