…When a complex-valued linear functional T on a function space Ω satisfies continuity, T is called a generalized function on Ω. In 1945, L. Schwartz created the theory of generalized functions, which is an extension of the concept of function through partial integration. This theory led to significant developments in Fourier analysis and the theory of partial differential equations. … *Some of the terminology that mentions "Schwartz, L." is listed below. Source | Heibonsha World Encyclopedia 2nd Edition | Information |
…関数空間Ω上の複素数値線形汎関数Tが連続性,を満たすとき,TをΩ上の超関数という。 1945年,シュワルツL.Schwartzは〈部分積分を通しての関数概念の拡張〉であるところの超関数の理論を創始した。この理論によって,その後,フーリエ解析や偏微分方程式の理論は著しい発展を見せた。… ※「Schwartz,L.」について言及している用語解説の一部を掲載しています。 出典|株式会社平凡社世界大百科事典 第2版について | 情報 |
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