Operational Calculus |
Contents
Difference equations | 8 |
Theorem of Titchmarsh | 9 |
Power series of operators with numerical coefficients | 15 |
Copyright | |
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algebraic analytic function assume axis B₁ Banach spaces c₁ C₂ CHAPTER characteristic equation coefficients complex numbers Consequently constant continuous derivative continuous function convolution defined definition denote different from zero differential equation divisor E₁ electromotive force equal to zero example exist exponential function factors finite interval follows formula four-terminal network function f(2 functions of class ƒ and g given Hence I₁ identically equal implies initial conditions instance Laplace transform linearly independent linearly independent solutions locally integrable functions logarithmic multiplication obtain operational calculus operational equation operational function parametric function partial equation polynomial positive number power series proof prove R₁ represented roots satisfies equation satisfying conditions satisfying the equation sequence solution of equation solve ẞ² ẞt string theorem tion uniform convergence uniformly values whence write λο