About Higher Order Fourier Analysis
This quastion is about the extension of Fourier analysis to higher orders. I know this is the approach to go beyond the linear phases. I am curious to understand it better. To be specific,
Is it possible to briefly explain the higher order Fourier analysis with giving some clear mathematical representation of that analysis (just like the traditional form)?
Would you please provide some applications of the higher order Forier analysis?
Thanks.
fourier-analysis fourier-series fourier-transform
asked Nov 25 at 7:20
Amin
1,3231719
add a comment |
This quastion is about the extension of Fourier analysis to higher orders. I know this is the approach to go beyond the linear phases. I am curious to understand it better. To be specific,
Is it possible to briefly explain the higher order Fourier analysis with giving some clear mathematical representation of that analysis (just like the traditional form)?
Would you please provide some applications of the higher order Forier analysis?
Thanks.
fourier-analysis fourier-series fourier-transform
asked Nov 25 at 7:20
Amin
1,3231719
1
What is "higher order Fourier transform" ?
– reuns
Nov 25 at 11:57
@reuns: Please look at: terrytao.files.wordpress.com/2011/03/higher-book.pdf I also edted the question.
– Amin
Nov 25 at 13:24
Are you expecting people to read a 200-page book in order to understand what your question is about?
– Rahul
Nov 25 at 13:26
@Rahul: 1. I don't expect anything. 2. I thought, may be somebody has enough knowledge about it beforehand. 3. There are other resources one can find easily arxiv.org/pdf/1203.2260.pdf.
– Amin
Nov 25 at 13:30
What do you get with the change of variable $xi = y^2$ in the inverse Fourier transform integral ? If you are just told to study that field we can't help. If you want to understand or generalize a concrete application we can.
– reuns
Nov 26 at 18:15
add a comment |
This quastion is about the extension of Fourier analysis to higher orders. I know this is the approach to go beyond the linear phases. I am curious to understand it better. To be specific,
Is it possible to briefly explain the higher order Fourier analysis with giving some clear mathematical representation of that analysis (just like the traditional form)?
Would you please provide some applications of the higher order Forier analysis?
Thanks.
fourier-analysis fourier-series fourier-transform
asked Nov 25 at 7:20
Amin
1,3231719
This quastion is about the extension of Fourier analysis to higher orders. I know this is the approach to go beyond the linear phases. I am curious to understand it better. To be specific,
Is it possible to briefly explain the higher order Fourier analysis with giving some clear mathematical representation of that analysis (just like the traditional form)?
Would you please provide some applications of the higher order Forier analysis?
Thanks.
fourier-analysis fourier-series fourier-transform
fourier-analysis fourier-series fourier-transform
asked Nov 25 at 7:20
Amin
1,3231719
asked Nov 25 at 7:20
Amin
1,3231719
edited Nov 25 at 13:10
asked Nov 25 at 7:20
Amin
1,3231719
asked Nov 25 at 7:20
Amin
1,3231719
asked Nov 25 at 7:20
Amin
1,3231719
1,3231719
1
What is "higher order Fourier transform" ?
– reuns
Nov 25 at 11:57
@reuns: Please look at: terrytao.files.wordpress.com/2011/03/higher-book.pdf I also edted the question.
– Amin
Nov 25 at 13:24
Are you expecting people to read a 200-page book in order to understand what your question is about?
– Rahul
Nov 25 at 13:26
@Rahul: 1. I don't expect anything. 2. I thought, may be somebody has enough knowledge about it beforehand. 3. There are other resources one can find easily arxiv.org/pdf/1203.2260.pdf.
– Amin
Nov 25 at 13:30
What do you get with the change of variable $xi = y^2$ in the inverse Fourier transform integral ? If you are just told to study that field we can't help. If you want to understand or generalize a concrete application we can.
– reuns
Nov 26 at 18:15
add a comment |
1
What is "higher order Fourier transform" ?
– reuns
Nov 25 at 11:57
@reuns: Please look at: terrytao.files.wordpress.com/2011/03/higher-book.pdf I also edted the question.
– Amin
Nov 25 at 13:24
Are you expecting people to read a 200-page book in order to understand what your question is about?
– Rahul
Nov 25 at 13:26
@Rahul: 1. I don't expect anything. 2. I thought, may be somebody has enough knowledge about it beforehand. 3. There are other resources one can find easily arxiv.org/pdf/1203.2260.pdf.
– Amin
Nov 25 at 13:30
What do you get with the change of variable $xi = y^2$ in the inverse Fourier transform integral ? If you are just told to study that field we can't help. If you want to understand or generalize a concrete application we can.
– reuns
Nov 26 at 18:15
1
1
What is "higher order Fourier transform" ?
– reuns
Nov 25 at 11:57
What is "higher order Fourier transform" ?
– reuns
Nov 25 at 11:57
@reuns: Please look at: terrytao.files.wordpress.com/2011/03/higher-book.pdf I also edted the question.
– Amin
Nov 25 at 13:24
@reuns: Please look at: terrytao.files.wordpress.com/2011/03/higher-book.pdf I also edted the question.
– Amin
Nov 25 at 13:24
Are you expecting people to read a 200-page book in order to understand what your question is about?
– Rahul
Nov 25 at 13:26
Are you expecting people to read a 200-page book in order to understand what your question is about?
– Rahul
Nov 25 at 13:26
@Rahul: 1. I don't expect anything. 2. I thought, may be somebody has enough knowledge about it beforehand. 3. There are other resources one can find easily arxiv.org/pdf/1203.2260.pdf.
– Amin
Nov 25 at 13:30
@Rahul: 1. I don't expect anything. 2. I thought, may be somebody has enough knowledge about it beforehand. 3. There are other resources one can find easily arxiv.org/pdf/1203.2260.pdf.
– Amin
Nov 25 at 13:30
What do you get with the change of variable $xi = y^2$ in the inverse Fourier transform integral ? If you are just told to study that field we can't help. If you want to understand or generalize a concrete application we can.
– reuns
Nov 26 at 18:15
What do you get with the change of variable $xi = y^2$ in the inverse Fourier transform integral ? If you are just told to study that field we can't help. If you want to understand or generalize a concrete application we can.
– reuns
Nov 26 at 18:15
add a comment |
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1
What is "higher order Fourier transform" ?
– reuns
Nov 25 at 11:57
@reuns: Please look at: terrytao.files.wordpress.com/2011/03/higher-book.pdf I also edted the question.
– Amin
Nov 25 at 13:24
Are you expecting people to read a 200-page book in order to understand what your question is about?
– Rahul
Nov 25 at 13:26
@Rahul: 1. I don't expect anything. 2. I thought, may be somebody has enough knowledge about it beforehand. 3. There are other resources one can find easily arxiv.org/pdf/1203.2260.pdf.
– Amin
Nov 25 at 13:30
What do you get with the change of variable $xi = y^2$ in the inverse Fourier transform integral ? If you are just told to study that field we can't help. If you want to understand or generalize a concrete application we can.
– reuns
Nov 26 at 18:15