Frigyes Riesz (Riesz Frigyes, ˈriːs ˈfriɟɛʃ, sometimes spelled as Frederic; 22 January 1880 – 28 February 1956) was a Hungarian mathematician who made fundamental contributions to functional analysis, as did his younger brother Marcel Riesz.
He was born into a Jewish family in Győr, Austria-Hungary and died in Budapest, Hungary. Between 1911 and 1919 he was a professor at the Franz Joseph University in Kolozsvár, Austria-Hungary. The post-WW1 Treaty of Trianon transferred former Austro-Hungarian territory including Kolozsvár to the Kingdom of Romania, whereupon Kolozsvár's name changed to Cluj and the University of Kolozsvár moved to Szeged, Hungary, becoming the University of Szeged. Then, Riesz was the rector and a professor at the University of Szeged, as well as a member of the Hungarian Academy of Sciences. and the Polish Academy of Learning. He was the older brother of the mathematician Marcel Riesz.
Riesz did some of the fundamental work in developing functional analysis and his work has had a number of important applications in physics. He established the spectral theory for bounded symmetric operators in a form very much like that now regarded as standard. He also made many contributions to other areas including ergodic theory, topology and he gave an elementary proof of the mean ergodic theorem.
Together with Alfréd Haar, Riesz founded the Acta Scientiarum Mathematicarum journal.
He had an uncommon method of giving lectures: he entered the lecture hall with an assistant and a docent. The docent then began reading the proper passages from Riesz's handbook and the assistant wrote the appropriate equations on the blackboard—while Riesz himself stood aside, nodding occasionally.
The Swiss-American mathematician Edgar Lorch spent 1934 in Szeged working under Riesz and wrote a reminiscence about his time there, including his collaboration with Riesz.
The corpus of his bibliography was compiled by the mathematician Pál Medgyessy.
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This is an introductory course on Elliptic Partial Differential Equations. The course will cover the theory of both classical and generalized (weak) solutions of elliptic PDEs.
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Covers the study of translation groups on the interval [0,1] with different phases and the Riesz representation theorem on Hilbert space.
Covers the weak formulation of elliptic partial differential equations and the uniqueness of solutions in Hilbert space.
Explores the Riesz-Fischer theorem, discussing completeness and convergence in L^p spaces with examples and demonstrations.
In mathematics, Hilbert spaces (named after David Hilbert) allow the methods of linear algebra and calculus to be generalized from (finite-dimensional) Euclidean vector spaces to spaces that may be infinite-dimensional. Hilbert spaces arise naturally and frequently in mathematics and physics, typically as function spaces. Formally, a Hilbert space is a vector space equipped with an inner product that induces a distance function for which the space is a complete metric space.
Lipót Fejér (or Leopold Fejér, ˈfɛjeːr; 9 February 1880 – 15 October 1959) was a Hungarian mathematician of Jewish heritage. Fejér was born Leopold Weisz, and changed to the Hungarian name Fejér around 1900. He was born in Pécs, Austria-Hungary, into the Jewish family of Victoria Goldberger and Samuel Weiss. His maternal great-grandfather Samuel Nachod was a doctor and his grandfather was a renowned scholar, author of a Hebrew-Hungarian dictionary. Leopold's father, Samuel Weiss, was a shopkeeper in Pecs.
Szeged (ˈsɛɡɛd , ˈsɛɡɛd; see also other alternative names) is the third largest city of Hungary, the largest city and regional centre of the Southern Great Plain and the county seat of Csongrád-Csanád county. The University of Szeged is one of the most distinguished universities in Hungary. The Szeged Open Air (Theatre) Festival (first held in 1931) is one of the main attractions, held every summer and celebrated as the Day of the City on 21 May.
The monogenic signal is the natural 2-D counterpart of the 1-D analytic signal. We propose to transpose the concept to the wavelet domain by considering a complexified version of the Riesz transform which has the remarkable property of mapping a real-value ...
Institute of Electrical and Electronics Engineers2009