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On the Convolution of the Generalized Finite Legendre Transform

✍ Scribed by J. M. R. Méndez-Pérez; G. Miquel Morales

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
731 KB
Volume
188
Category
Article
ISSN
0025-584X

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✦ Synopsis

The translation operator and the convolution for the finite Legendre transformation are investigated in the space L(-1, 1) of testing-functions and its dual through an approach that emphasizes the close similarity existing between this transform and the infinite Mehler -Fock transformation. The theory developed is used in solving some distributional boundary-value problems.

📜 SIMILAR VOLUMES

The Generalized Discrete Legendre Transf
The Generalized Discrete Legendre Transformation
✍ J.M.R Méndez-Pérez; G.Miquel Morales 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 242 KB

The discrete transformation LF x s f x s Ý 2n q 1 r2 P x F n , ns0 n Ž . where the P x 's denote the well-known Legendre polynomials, is an isomorphism n Ž . between the space L ‫ގ‬ of the complex-valued sequences of rapid descent and 0 ## Ž . the space L L y1, 1 of all infinitely differentiable