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The Discrete Legendre Transform of Sequences of Exponential Growth

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

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
197 KB
Volume
201
Category
Article
ISSN
0022-247X

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✦ Synopsis

The discrete Legendre transformation is investigated in a space of complex-valued sequences of exponential growth and its dual. Inversion and uniqueness theorems are established and some operational properties are obtained. The translation operator and the convolution are also studied. The theory developed is used in solving certain partial finite-difference equations.

📜 SIMILAR VOLUMES

On the Convolution of the Generalized Fi
On the Convolution of the Generalized Finite Legendre Transform
✍ J. M. R. Méndez-Pérez; G. Miquel Morales 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 731 KB

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 theo