Operational Calculus

Chapter 1 Introduction of the Operator h Through the Convolution Ring C

Chapter 2 Introduction of the Operator s Through the Ring C H

Chapter 4 Fractional Powers of Hyperfunctions h, s and $$ \frac{I}{{S - \alpha }} $$

Chapter 5 Hyperfunctions Represented by Infinite Power Series in h

Chapter 6 The Titchmarsh Convolution Theorem and the Class C/C

Chapter 7 The Algebraic Derivative Applied to Laplace’s Differential Equation

Chapter 8 Exponential Hyperfunctions exp(−λs) and exp(−λs 1/2 )

Chapter 9 One Dimensional Wave Equation

Chapter 10 Telegraph Equation

Chapter 11 Heat Equation