Book contents
- Frontmatter
- Epigraph
- Contents
- Foreword
- Preface
- Part I Fourier Series
- Part II Some Differential Equations
- Part III Orthogonal Series
- Part IV Fourier Transforms
- 46 Introduction
- 47 Change in the order of integration I
- 48 Change in the order of integration II
- 49 Fejér’s theorem for Fourier transforms
- 50 Sums of independent random variables
- 51 Convolution
- 52 Convolution on T
- 53 Differentiation under the integral
- 54 Lord Kelvin
- 55 The heat equation
- 56 The age of the earth I
- 57 The age of the earth II
- 58 The age of the earth III
- 59 Weierstrass’s proof of Weierstrass’s theorem
- 60 The inversion formula
- 61 Simple discontinuities
- 62 Heat flow in a semi-infinite rod
- 63 A second approach
- 64 The wave equation
- 65 The transatlantic cable I
- 66 The transatlantic cable II
- 67 Uniqueness for the heat equation I
- 68 Uniqueness for the heat equation II
- 69 The law of errors
- 70 The central limit theorem I
- 71 The central limit theorem II
- Part V Further Developments
- Part VI Other Directions
- Appendix A The circle T
- Appendix B Continuous function on closed bounded sets
- Appendix C Weakening hypotheses
- Appendix D Ode to a galvanometer
- Appendix E The principle of the argument
- Appendix F Chase the constant
- Appendix G Are share prices in Brownian motion?
- Index
66 - The transatlantic cable II
from Part IV - Fourier Transforms
Published online by Cambridge University Press: 19 May 2022
Foreword by
Book contents
- Frontmatter
- Epigraph
- Contents
- Foreword
- Preface
- Part I Fourier Series
- Part II Some Differential Equations
- Part III Orthogonal Series
- Part IV Fourier Transforms
- 46 Introduction
- 47 Change in the order of integration I
- 48 Change in the order of integration II
- 49 Fejér’s theorem for Fourier transforms
- 50 Sums of independent random variables
- 51 Convolution
- 52 Convolution on T
- 53 Differentiation under the integral
- 54 Lord Kelvin
- 55 The heat equation
- 56 The age of the earth I
- 57 The age of the earth II
- 58 The age of the earth III
- 59 Weierstrass’s proof of Weierstrass’s theorem
- 60 The inversion formula
- 61 Simple discontinuities
- 62 Heat flow in a semi-infinite rod
- 63 A second approach
- 64 The wave equation
- 65 The transatlantic cable I
- 66 The transatlantic cable II
- 67 Uniqueness for the heat equation I
- 68 Uniqueness for the heat equation II
- 69 The law of errors
- 70 The central limit theorem I
- 71 The central limit theorem II
- Part V Further Developments
- Part VI Other Directions
- Appendix A The circle T
- Appendix B Continuous function on closed bounded sets
- Appendix C Weakening hypotheses
- Appendix D Ode to a galvanometer
- Appendix E The principle of the argument
- Appendix F Chase the constant
- Appendix G Are share prices in Brownian motion?
- Index
- Type
- Chapter
- Information
- Fourier Analysis , pp. 335 - 337Publisher: Cambridge University PressPrint publication year: 2022