A function analytic in the unit disk belongs to the class Nevanlinna if and only if it is the quotient of two...
up vote
0
down vote
favorite
I'm trying to understand a part of this proof from Duren, in the converse, I don't see it clear when it says "by analytic completion of the Poisson Formula,..." and then the result; I tried to prove it's true, but I don't get it. 
functional-analysis proof-explanation harmonic-functions analytic-functions
asked Nov 16 at 17:29
Kale36
403
add a comment |
up vote
0
down vote
favorite
I'm trying to understand a part of this proof from Duren, in the converse, I don't see it clear when it says "by analytic completion of the Poisson Formula,..." and then the result; I tried to prove it's true, but I don't get it.
functional-analysis proof-explanation harmonic-functions analytic-functions
asked Nov 16 at 17:29
Kale36
403
$F(z)$ is analytic and from Poisson formula then as he said in following $$f(z)=dfrac{phi}{psi}$$
– Nosrati
Nov 16 at 18:15
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
I'm trying to understand a part of this proof from Duren, in the converse, I don't see it clear when it says "by analytic completion of the Poisson Formula,..." and then the result; I tried to prove it's true, but I don't get it.
functional-analysis proof-explanation harmonic-functions analytic-functions
asked Nov 16 at 17:29
Kale36
403
I'm trying to understand a part of this proof from Duren, in the converse, I don't see it clear when it says "by analytic completion of the Poisson Formula,..." and then the result; I tried to prove it's true, but I don't get it.
functional-analysis proof-explanation harmonic-functions analytic-functions
functional-analysis proof-explanation harmonic-functions analytic-functions
asked Nov 16 at 17:29
Kale36
403
asked Nov 16 at 17:29
Kale36
403
asked Nov 16 at 17:29
Kale36
403
asked Nov 16 at 17:29
Kale36
403
asked Nov 16 at 17:29
Kale36
403
403
$F(z)$ is analytic and from Poisson formula then as he said in following $$f(z)=dfrac{phi}{psi}$$
– Nosrati
Nov 16 at 18:15
add a comment |
$F(z)$ is analytic and from Poisson formula then as he said in following $$f(z)=dfrac{phi}{psi}$$
– Nosrati
Nov 16 at 18:15
$F(z)$ is analytic and from Poisson formula then as he said in following $$f(z)=dfrac{phi}{psi}$$
– Nosrati
Nov 16 at 18:15
$F(z)$ is analytic and from Poisson formula then as he said in following $$f(z)=dfrac{phi}{psi}$$
– Nosrati
Nov 16 at 18:15
add a comment |
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Some of your past answers have not been well-received, and you're in danger of being blocked from answering.
Please pay close attention to the following guidance:
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
To learn more, see our tips on writing great answers.
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
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3001406%2fa-function-analytic-in-the-unit-disk-belongs-to-the-class-nevanlinna-if-and-only%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
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
Required, but never shown
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
Required, but never shown
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
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
$F(z)$ is analytic and from Poisson formula then as he said in following $$f(z)=dfrac{phi}{psi}$$
– Nosrati
Nov 16 at 18:15