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Eigenvalues of an integral operators

Dear all, I want to find the first eigenvalues (and even the eigenvectors if possible) of a difference operator

G(y) = \int_0^1 V( t - y ) F(t) dt

The function V is given by some infinite series and is easily computable to any decent degree of accuracy. This is a very classical problem, but I wouldn't want to rediscover the wheel if there is a shop that sells some :) Many thanks in advance, Olivier

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updated 2 years ago

Max Alekseyev gravatar image

Eigenvalues of an integral operators

Dear all, I want to find the first eigenvalues (and even the eigenvectors if possible) of a difference operator

G(y) $%G(y) = \int_0^1 V( t - y ) F(t) dt dt$$

The function V V is given by some infinite series and is easily computable to any decent degree of accuracy. This is a very classical problem, but I wouldn't want to rediscover the wheel if there is a shop that sells some :) Many thanks in advance, Olivier

click to hide/show revision 3
None

updated 2 years ago

Max Alekseyev gravatar image

Eigenvalues of an integral operators

Dear all, I want to find the first eigenvalues (and even the eigenvectors if possible) of a difference operator

$%G(y) $$G(y) = \int_0^1 V( t - y ) F(t) dt$$

The function V is given by some infinite series and is easily computable to any decent degree of accuracy. This is a very classical problem, but I wouldn't want to rediscover the wheel if there is a shop that sells some :) Many thanks in advance, Olivier