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HallsofIvy

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In Linear Algebra, an "eigenvalue" and "eigenvector" of a linear transformation, L, are a number, [itex]\lambda[/itex], and vector, v, such that [itex]Av= \lambda v[/itex]. We can think of the set of (integrable) functions as a vector space and the Fourier transform is a linear transformation on that set. The Hermite Polynomials have the property that the Fourier transform of the nth Hermite Polynomial, H_{n}, is

F(H_{n})= i^{n}H_{n}.

F(H

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mathman

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Note to Halls of Ivy. You left out the eigenvalue in your definition equation.

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HallsofIvy

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Thanks, I've edited it.mathman said:Note to Halls of Ivy. You left out the eigenvalue in your definition equation.

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HallsofIvy

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Thanks, I've edited it. (I misspelled "lamba" in the TEX)mathman said:Note to Halls of Ivy. You left out the eigenvalue in your definition equation.

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