## Fourier Analysis: An IntroductionPrinceton University Press, 2011 M02 11 - 328 páginas This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis. It begins with the simple conviction that Fourier arrived at in the early nineteenth century when studying problems in the physical sciences--that an arbitrary function can be written as an infinite sum of the most basic trigonometric functions. |

### Contenido

1 | |

Chapter 2 Basic Properties of Fourier Series | 29 |

Chapter 3 Convergence of Fourier Series | 69 |

Chapter 4 Some Applications of Fourier Series | 100 |

Chapter 5 The Fourier Transform on R | 129 |

Chapter 6 The Fourier Transform on Rsupd | 175 |

Chapter 7 Finite Fourier Analysis | 218 |

Chapter 8 Dirichlets Theorem | 241 |

Integration | 281 |

Notes and References | 298 |

300 | |

303 | |

305 | |

### Otras ediciones - Ver todas

Fourier Analysis: An Introduction, Volumen10 Elias M. Stein,Rami Shakarchi Sin vista previa disponible - 2003 |