Book contents
- Frontmatter
- Miscellaneous Frontmatter
- Contents
- 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
31 - Potential theory without smoothness assumptions
Published online by Cambridge University Press: 05 June 2014
Book contents
- Frontmatter
- Miscellaneous Frontmatter
- Contents
- 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. 134 - 142Publisher: Cambridge University PressPrint publication year: 1988