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Translations for „eigenfunction“ in the English » German Dictionary (Go to German » English)

eigenfunction MATH

Monolingual examples (not verified by PONS Editors)

English
However, there are eigenfunction expansions that fail to converge in a suitable sense to a square-integrable function: the missing ingredient, which ensures convergence, is completeness.
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If the distribution has support only at the point "y", then the integral equation reduces to a differential eigenfunction equation.
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Therefore, if the channel is assumed to be linear and time-invariant, then a sinusoid of infinite duration would be an eigenfunction.
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The reason for this is that the complex exponential is the eigenfunction of differentiation.
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A refinable function is an eigenfunction of that operator.
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