15/09/05 20:00:55.14 LkHxIayp.net
>>263
ミクシンスキーね。訳本があったよね
URLﾘﾝｸ(ja.wikipedia.org)
演算子法（えんざんしほう）とは、解析学の問題、特に微分方程式を、代数的問題（普通は多項式方程式）に変換して解く方法。
オリヴァー・ヘヴィサイドの貢献が特に大きいので「ヘヴィサイドの演算子法」とも呼ばれるが、厳密な理論化はその後の数学者たちにより行われた。
URLﾘﾝｸ(en.wikipedia.org)
Operational calculus
A rigorous mathematical justification of Heaviside's operational methods came only after the work of Bromwich that related operational calculus with Laplace transformation methods
(see the books by Jeffreys, by Carslaw or by MacLachlan for a detailed exposition).
Other ways of justifying the operational methods of Heaviside were introduced in the mid-1920s using integral equation techniques (as done by Carson) or Fourier transformation (as done by Norbert Wiener).
A different approach to operational calculus was developed in the 1930s by Polish mathematician Jan Mikusi?ski, using algebraic reasoning.
Norbert Wiener laid the foundations for operator theory in his review of the existential status of the operational calculus in 1926:[6]
URLﾘﾝｸ(en.wikipedia.org)
Operator theory
In mathematics, operator theory is the study of linear operators on function spaces, beginning with differential operators and integral operators.
The operators may be presented abstractly by their characteristics, such as bounded linear operators or closed operators, and consideration may be given to nonlinear operators.
The study, which depends heavily on the topology of function spaces, is a branch of functional analysis.
If a collection of operators forms an algebra over a field, then it is an operator algebra. The description of operator algebras is part of operator theory.
URLﾘﾝｸ(ja.wikipedia.org)
作用素論