Plancherel Theorem For SL(2, C)
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Michel Plancherel (16 January 1885, Bussy, Fribourg4 March 1967, Zurich) was a
Swiss Swiss may refer to: * the adjectival form of Switzerland * Swiss people Places * Swiss, Missouri * Swiss, North Carolina *Swiss, West Virginia * Swiss, Wisconsin Other uses *Swiss-system tournament, in various games and sports *Swiss Internation ...
mathematician. He was born in Bussy ( Fribourg,
Switzerland ). Swiss law does not designate a ''capital'' as such, but the federal parliament and government are installed in Bern, while other federal institutions, such as the federal courts, are in other cities (Bellinzona, Lausanne, Luzern, Neuchâtel ...
) and obtained his
Diplom A ''Diplom'' (, from grc, δίπλωμα ''diploma'') is an academic degree in the German-speaking countries Germany, Austria, and Switzerland and a similarly named degree in some other European countries including Albania, Bulgaria, Belarus ...
in
mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
from the University of Fribourg and then his doctoral degree in 1907 with a thesis written under the supervision of Mathias Lerch. Plancherel was a professor in Fribourg (1911), and from 1920 at
ETH Zurich (colloquially) , former_name = eidgenössische polytechnische Schule , image = ETHZ.JPG , image_size = , established = , type = Public , budget = CHF 1.896 billion (2021) , rector = Günther Dissertori , president = Joël Mesot , ac ...
. He worked in the areas of mathematical analysis, mathematical physics and algebra, and is known for the Plancherel theorem in
harmonic analysis Harmonic analysis is a branch of mathematics concerned with the representation of Function (mathematics), functions or signals as the Superposition principle, superposition of basic waves, and the study of and generalization of the notions of Fo ...
. He was an Invited Speaker of the ICM in 1924 at TorontoPlancherel, Michel (1924
" Sur les séries de fonctions orthogonales."
In ''Proceedings of the International Mathematical Congress'', Toronto, vol. 1, pp. 619–622.
and in 1928 at Bologna. He was married to Cécile Tercier, had nine children, and presided at the ''Mission Catholique Française'' in Zürich.


See also

*
Plancherel measure In mathematics, Plancherel measure is a measure defined on the set of irreducible unitary representations of a locally compact group G, that describes how the regular representation breaks up into irreducible unitary representations. In some cas ...
* Plancherel theorem * Plancherel theorem for spherical functions


References


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Short biography
Department of mathematics, University of Fribourg 1885 births 1967 deaths 20th-century Swiss mathematicians Swiss Roman Catholics ETH Zurich faculty University of Fribourg alumni University of Fribourg faculty People from the canton of Fribourg {{europe-mathematician-stub