Calculating Fourier Series of f(x,y)=Ke^(aix+biy)

bagur
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Homework Statement


write the Fourier series of f(x,y)=Ke^(aix+biy)


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The Attempt at a Solution

 
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This is periodic in x with what period? It is periodic in y with what period? Therefore, based on those answers, what form should your Fourier series have?
 
Are you sure you don't mean "Fourier Transform"?
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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