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Encyclopedia > Ernst Sigismund Fischer

Ernst Sigismund Fischer (July 12, 1875 - November 14, 1954) was born in Vienna, Austria. He worked alongside both Mertens and Minkowski at the Universities of Vienna and Zurich, respectively. He later became professor at the University of Erlangen, where he worked with Emmy Noether. is the 193rd day of the year (194th in leap years) in the Gregorian calendar. ... 1875 (MDCCCLXXV) was a common year starting on Friday (see link for calendar). ... is the 318th day of the year (319th in leap years) in the Gregorian calendar. ... Year 1954 (MCMLIV) was a common year (link will display full calendar) of the Gregorian calendar. ... This article is about the city and federal state in Austria. ... Franz Mertens (March 20, 1840 - March 5, 1927) was a German mathematician. ... Hermann Minkowski. ... The University of Vienna (German: ) is a public university located in Vienna, Austria. ... The University of Zurich (in German: Universität Zürich) is the largest university of Switzerland, in the city of Zurich. ... Erlangen is a German city in Middle Franconia. ... Amalie Emmy Noether [1] (March 23, 1882 – April 14, 1935) was a German-born mathematician, said by Einstein in eulogy to be [i]n the judgment of the most competent living mathematicians, [...] the most significant creative mathematical genius thus far produced since the higher education of women began. ...


His main area of research was mathematical analysis, specifically orthonormal sequences of functions which laid groundwork for the emergence of the concept of a Hilbert space. Analysis has its beginnings in the rigorous formulation of calculus. ... The mathematical concept of a Hilbert space (named after the German mathematician David Hilbert) generalizes the notion of Euclidean space in a way that extends methods of vector algebra from the plane and three-dimensional space to spaces of functions. ...


The Riesz-Fischer theorem in Lebesgue integration is named in his honour. In mathematics, the Riesz-Fischer theorem in real analysis states that a function is square integrable if and only if the corresponding Fourier series converges uniformly in the space . ... The integral of a positive function can be interpreted as the area under a curve. ...


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