Book contents
- Frontmatter
- Epigraph
- Contents
- Foreword
- Preface
- Part I Fourier Series
- Part II Some Differential Equations
- 20 The undisturbed damped oscillator does not explode
- 21 The disturbed damped linear oscillator does not explode
- 22 Transients
- 23 The linear damped oscillator with periodic input
- 24 A non-linear oscillator I
- 25 A non-linear oscillator II
- 26 A non-linear oscillator III
- 27 Poisson summation
- 28 Dirichlet’s problem for the disc
- 29 Potential theory with smoothness assumptions
- 30 An example of Hadamard
- 31 Potential theory without smoothness assumptions
- Part III Orthogonal Series
- Part IV Fourier Transforms
- 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
28 - Dirichlet’s problem for the disc
from Part II - Some Differential Equations
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
- 20 The undisturbed damped oscillator does not explode
- 21 The disturbed damped linear oscillator does not explode
- 22 Transients
- 23 The linear damped oscillator with periodic input
- 24 A non-linear oscillator I
- 25 A non-linear oscillator II
- 26 A non-linear oscillator III
- 27 Poisson summation
- 28 Dirichlet’s problem for the disc
- 29 Potential theory with smoothness assumptions
- 30 An example of Hadamard
- 31 Potential theory without smoothness assumptions
- Part III Orthogonal Series
- Part IV Fourier Transforms
- 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. 121 - 123Publisher: Cambridge University PressPrint publication year: 2022