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In this chapter, the basic and advanced problems concerned with the Fourier series of periodic functions, half-domain Fourier sine and cosine series of aperiodic functions, complex Fourier series of periodic functions, Fourier integral of aperiodic functions, complex Fourier integral of aperiodic functions, Fourier transform of aperiodic functions, and half-domain Fourier sine and cosine transforms of aperiodic functions are presented and studied. Herein, different types of problems and exercises are presented that are categorized as follows:

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Fourier Series, Half-Domain Fourier Sine and Cosine Series, Complex Fourier Series, Fourier Integral, Complex Fourier Integral, Fourier Transform, and Half-Domain Fourier Sine and Cosine Transforms: Problems

  • 章节

  • 发表日期：

    2025年

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  • Mehdi Rahmani-Andebili

摘要

In this chapter, the basic and advanced problems concerned with the Fourier series of periodic functions, half-domain Fourier sine and cosine series of aperiodic functions, complex Fourier series of periodic functions, Fourier integral of aperiodic functions, complex Fourier integral of aperiodic functions, Fourier transform of aperiodic functions, and half-domain Fourier sine and cosine transforms of aperiodic functions are presented and studied. Herein, different types of problems and exercises are presented that are categorized as follows: