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Finite Legendre transform

The finite Legendre transform (fLT) transforms a mathematical function defined on the finite interval into its Legendre spectrum. Conversely, the inverse fLT (ifLT) reconstructs the original function from the components of the Legendre spectrum and the Legendre polynomials, which are orthogonal on the interval . Specifically, assume a function x(t) to be…

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Legendre transformationLegendre polynomials
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Finite Legendre transform

Nodes6
Edges5
Triples0
Avg. degree1.67
Density0.333333
Components1

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legendre flt iflt function interval transform spectrum components defined filter inverse polynomials gives vol finite transforms mathematical conversely reconstructs original

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