How does the locally compact group play a role in many branches of math?











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It seems that Fourier analysis/harmonic analysis plays an important role in math, at least in number theory and statistics. It also seems to me that talking about it is talking about locally compact groups. So to have a big picture, can you explain to me how the local and non-local compact group play a role in many branches of math?



My background is Dym & McKean, Fourier Series and Integrals. I still don't understand much what that group mean though.






math-history harmonic-analysis big-list locally-compact-groups big-picture







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    up vote
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    down vote

    favorite












    It seems that Fourier analysis/harmonic analysis plays an important role in math, at least in number theory and statistics. It also seems to me that talking about it is talking about locally compact groups. So to have a big picture, can you explain to me how the local and non-local compact group play a role in many branches of math?



    My background is Dym & McKean, Fourier Series and Integrals. I still don't understand much what that group mean though.






    math-history harmonic-analysis big-list locally-compact-groups big-picture







    share|cite|improve this question
























      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      It seems that Fourier analysis/harmonic analysis plays an important role in math, at least in number theory and statistics. It also seems to me that talking about it is talking about locally compact groups. So to have a big picture, can you explain to me how the local and non-local compact group play a role in many branches of math?



      My background is Dym & McKean, Fourier Series and Integrals. I still don't understand much what that group mean though.






      math-history harmonic-analysis big-list locally-compact-groups big-picture







      share|cite|improve this question













      It seems that Fourier analysis/harmonic analysis plays an important role in math, at least in number theory and statistics. It also seems to me that talking about it is talking about locally compact groups. So to have a big picture, can you explain to me how the local and non-local compact group play a role in many branches of math?



      My background is Dym & McKean, Fourier Series and Integrals. I still don't understand much what that group mean though.






      math-history harmonic-analysis big-list locally-compact-groups big-picture




      math-history harmonic-analysis big-list locally-compact-groups big-picture






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










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      Ooker

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