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yxgao
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Anyone know how to find a sum of a function using the poisson summation formula and the Fourier transform. Thanks!
--yxgao
--yxgao
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Complex Analysis is a branch of mathematics that deals with the study of complex numbers and their functions. It involves the use of calculus, algebra, and geometry to analyze and understand the properties of complex numbers.
In Complex Analysis, a sum can be found by using techniques such as contour integration, infinite series, and residues. These methods involve manipulating complex functions and integrals to obtain the desired sum.
A contour in Complex Analysis is a curve or path in the complex plane along which a function is integrated. It can be any closed or open curve that connects two points in the complex plane.
An infinite series in Complex Analysis is a sum of infinitely many terms, where each term is a complex number. These series can be convergent or divergent, and they are used to approximate complex functions and values.
The residue theorem states that the sum of the residues of a function over a closed contour in the complex plane is equal to the value of the integral of that function over the contour. This theorem is used in Complex Analysis to evaluate integrals and find sums of complex functions.