Skip to main content
MathOverflow

Return to Question

removed capitals
Source Link
YCor
YCor
  • 63.9k
  • 5
  • 187
  • 286

Stein's book on Harmonic Analysisharmonic analysis

My background :

I am a Math PhD student. I will most probably work in Harmonic Analysisharmonic analysis on Euclidean Spacesspaces. I am a fan of Folland's Real AnalysisReal analysis and I have thoroughly studied first 8 chapters of Folland. I have a decent background in Functional Analysisfunctional analysis and Complex Analysiscomplex analysis. Currently, I have started learning the Classicalclassical Fourier Analysisanalysis by Grafakos and Stein's Singular IntegralSingular integral book. My advisor has suggested me to finish the book Harmonic Analysisanalysis : Real Variable Methodsreal variable methods, Orthogonalityorthogonality, and Oscillatory Integralsoscillatory integrals by Stein in more or less one year.

My questions :

(i) Can one realistically finish that Stein's book in one year ?

(ii) What should be the absolutely necessary background for a person going to work in Harmonic Analysisharmonic analysis on Euclidean Spacesspaces ?

(iii) My advisor has mentioned that we will most probably work in the multiplier problem. I have searched this keywords on internet but unable to find some good source or book about this topic. What are some good references to learn this multiplier problem in Harmonic Analysisharmonic analysis ?

Thanks in advance.

Stein's book on Harmonic Analysis

My background :

I am a Math PhD student. I will most probably work in Harmonic Analysis on Euclidean Spaces. I am a fan of Folland's Real Analysis and I have thoroughly studied first 8 chapters of Folland. I have a decent background in Functional Analysis and Complex Analysis. Currently, I have started learning the Classical Fourier Analysis by Grafakos and Stein's Singular Integral book. My advisor has suggested me to finish the book Harmonic Analysis : Real Variable Methods, Orthogonality, and Oscillatory Integrals by Stein in more or less one year.

My questions :

(i) Can one realistically finish that Stein's book in one year ?

(ii) What should be the absolutely necessary background for a person going to work in Harmonic Analysis on Euclidean Spaces ?

(iii) My advisor has mentioned that we will most probably work in the multiplier problem. I have searched this keywords on internet but unable to find some good source or book about this topic. What are some good references to learn this multiplier problem in Harmonic Analysis ?

Thanks in advance.

Stein's book on harmonic analysis

My background :

I am a Math PhD student. I will most probably work in harmonic analysis on Euclidean spaces. I am a fan of Folland's Real analysis and I have thoroughly studied first 8 chapters of Folland. I have a decent background in functional analysis and complex analysis. Currently, I have started learning the classical Fourier analysis by Grafakos and Stein's Singular integral book. My advisor has suggested me to finish the book Harmonic analysis : real variable methods, orthogonality, and oscillatory integrals by Stein in more or less one year.

My questions :

(i) Can one realistically finish that Stein's book in one year ?

(ii) What should be the absolutely necessary background for a person going to work in harmonic analysis on Euclidean spaces ?

(iii) My advisor has mentioned that we will most probably work in the multiplier problem. I have searched this keywords on internet but unable to find some good source or book about this topic. What are some good references to learn this multiplier problem in harmonic analysis ?

Thanks in advance.

Source Link
risefrominfinite
risefrominfinite
  • 121
  • 3

Stein's book on Harmonic Analysis

My background :

I am a Math PhD student. I will most probably work in Harmonic Analysis on Euclidean Spaces. I am a fan of Folland's Real Analysis and I have thoroughly studied first 8 chapters of Folland. I have a decent background in Functional Analysis and Complex Analysis. Currently, I have started learning the Classical Fourier Analysis by Grafakos and Stein's Singular Integral book. My advisor has suggested me to finish the book Harmonic Analysis : Real Variable Methods, Orthogonality, and Oscillatory Integrals by Stein in more or less one year.

My questions :

(i) Can one realistically finish that Stein's book in one year ?

(ii) What should be the absolutely necessary background for a person going to work in Harmonic Analysis on Euclidean Spaces ?

(iii) My advisor has mentioned that we will most probably work in the multiplier problem. I have searched this keywords on internet but unable to find some good source or book about this topic. What are some good references to learn this multiplier problem in Harmonic Analysis ?

Thanks in advance.