The finite Legendre transformation of generalized functions

DOI10.1216/rmjm/1181071722zbMath0941.46024OpenAlexW2090233188MaRDI QIDQ1293539

J. M. R. Méndez-Pérez, G. Miquel Morales

Publication date: 30 July 2000

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

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL28-4/CONT28-4/CONT28-4.html

zbMATH Keywords

generalized functionsLegendre polynomialsoperational calculusLegendre transformation

Mathematics Subject Classification ID

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

Related Items (1)

The generalized discrete Legendre transformation

Cites Work

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• Orthogonal series representations for generalized functions
• The Mehler-Fock transform of distributions
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• A general procedure for deriving solutions of dual integral equations
• Orthonormal series expansions of certain distributions and distributional transform calculus
• On the Convolution Theorem of the Mehler-Fock-Transform for a Class of Generalized Functions (I)
• Expansions of Distributions

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