Find the eigenvalues and eigenfunctions of an integral operator
Clash Royale CLAN TAG#URR8PPP
up vote
0
down vote
favorite
Looking for eigenfunctions and eigenvalues of the integral operator
$$int _0^infty k(x, y) phi (x) dx$$, with
$$K(x, y) = exp left[ -beta left(fracnu4 (x^2 + y^2) + fracmu2 (x + y) right) right].$$
I have no solid basis on this subject, so I don't know how to start.
integration functional-analysis
add a comment |Â
up vote
0
down vote
favorite
Looking for eigenfunctions and eigenvalues of the integral operator
$$int _0^infty k(x, y) phi (x) dx$$, with
$$K(x, y) = exp left[ -beta left(fracnu4 (x^2 + y^2) + fracmu2 (x + y) right) right].$$
I have no solid basis on this subject, so I don't know how to start.
integration functional-analysis
Look up "Mehler's formula".
â kimchi lover
Sep 4 at 11:12
add a comment |Â
up vote
0
down vote
favorite
up vote
0
down vote
favorite
Looking for eigenfunctions and eigenvalues of the integral operator
$$int _0^infty k(x, y) phi (x) dx$$, with
$$K(x, y) = exp left[ -beta left(fracnu4 (x^2 + y^2) + fracmu2 (x + y) right) right].$$
I have no solid basis on this subject, so I don't know how to start.
integration functional-analysis
Looking for eigenfunctions and eigenvalues of the integral operator
$$int _0^infty k(x, y) phi (x) dx$$, with
$$K(x, y) = exp left[ -beta left(fracnu4 (x^2 + y^2) + fracmu2 (x + y) right) right].$$
I have no solid basis on this subject, so I don't know how to start.
integration functional-analysis
integration functional-analysis
asked Sep 4 at 11:08
many
204
204
Look up "Mehler's formula".
â kimchi lover
Sep 4 at 11:12
add a comment |Â
Look up "Mehler's formula".
â kimchi lover
Sep 4 at 11:12
Look up "Mehler's formula".
â kimchi lover
Sep 4 at 11:12
Look up "Mehler's formula".
â kimchi lover
Sep 4 at 11:12
add a comment |Â
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2904911%2ffind-the-eigenvalues-and-eigenfunctions-of-an-integral-operator%23new-answer', 'question_page');
);
Post as a guest
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Look up "Mehler's formula".
â kimchi lover
Sep 4 at 11:12