The Obrechkoff transform on spaces of generalized functions

DOI10.1216/RMJM/1008959673zbMath0989.46025OpenAlexW2004188926MaRDI QIDQ5940644

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Publication date: 12 August 2001

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL31-1/CONT31-1/CONT31-1.html

zbMATH Keywords

boundednessinversion formulaanalyticitykernel methodgeneral differential operator of Bessel-typehyper-Bessel differential operatorMcBride functional spaceMeijer transformsObreshkov transform

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Cites Work

• Fractional Powers of a Class of Ordinary Differentilal Operators
• The K_μ‐Transformation on McBride's Spaces of Generalized Functions
• The Laplace Transformation on Certain Spaces of Generalized Functions
• Übertragung der P<scp>OST</scp>‐W<scp>IDDER</scp>schen Umkehrformel der Laplace‐Transformation auf die ℒ‐Transformation
• Differentiationssätze der ℒ‐Transformation und Differentialgleichungen nach dem Operator \documentclass{article}\pagestyle{empty}\begin{document}$ \frac{d}{dt} t^{\frac{1}{n}-v} \left( t^ {1-\frac{1}{n}} \frac{d}{dt}\right)^{n-1} t^{v+1-\frac{2}{n}} $\end{document}
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