Fourier transforms with only real zeros
Fourier transforms with only real zeros
The class of even, nonnegative, finite measures <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="rho"> <mml:semantics> <mml:mi>ρ<!-- ρ --></mml:mi> <mml:annotation encoding="application/x-tex">\rho</mml:annotation> </mml:semantics> </mml:math> </inline-formula> on the real line such that for any <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="b greater-than 0"> <mml:semantics> <mml:mrow> <mml:mi>b</mml:mi> <mml:mo>></mml:mo> <mml:mn>0</mml:mn> </mml:mrow> <mml:annotation encoding="application/x-tex">b > 0</mml:annotation> </mml:semantics> </mml:math> </inline-formula> the …