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bagur
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Homework Statement
write the Fourier series of f(x,y)=Ke^(aix+biy)
Calculating Fourier Series of f(x,y)=Ke^(aix+biy)
- Thread starter bagur
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- Fourier Fourier series Series
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SUMMARY
The discussion focuses on calculating the Fourier series for the function f(x,y) = Ke^(aix + biy). It establishes that the function is periodic in both x and y, prompting the need to determine the specific periods for each variable. The conversation also raises the question of whether the Fourier Transform is a more appropriate approach for this function, indicating a potential misunderstanding of the problem's requirements.
PREREQUISITES- Understanding of Fourier series and their applications
- Knowledge of periodic functions and their properties
- Familiarity with complex exponentials in mathematical analysis
- Basic concepts of Fourier Transforms and their differences from Fourier series
- Research the periodicity of functions in multiple variables
- Study the derivation and application of Fourier series for complex functions
- Learn about the Fourier Transform and its use cases compared to Fourier series
- Explore examples of Fourier series in two-dimensional functions
Students and educators in mathematics, particularly those studying Fourier analysis, as well as professionals in engineering and physics who require a solid understanding of periodic functions and their representations.
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