Hermite expansions on 𝑅ⁿ for radial functions
Hermite expansions on 𝑅ⁿ for radial functions
It is proved that the Riesz means <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper S Subscript upper R Superscript delta Baseline f comma delta greater-than 0"> <mml:semantics> <mml:mrow> <mml:msubsup> <mml:mi>S</mml:mi> <mml:mi>R</mml:mi> <mml:mi>δ<!-- δ --></mml:mi> </mml:msubsup> <mml:mi>f</mml:mi> <mml:mo>,</mml:mo> <mml:mspace width="thinmathspace" /> <mml:mi>δ<!-- δ --></mml:mi> <mml:mo>></mml:mo> <mml:mn>0</mml:mn> </mml:mrow> <mml:annotation encoding="application/x-tex">S_R^\delta f,\,\delta > 0</mml:annotation> </mml:semantics> …