Friederich I. Mautner

(1921-05-14)May 14, 1921

Vienna, First Austrian Republic

1996

Austrian American

Princeton University

Mathematics

Johns Hopkins University

John von Neumann

Joseph Shalika

Life and career[edit]

Following the Anschluss in 1938, Mautner, a Jew, emigrated from Austria to the UK where he became one of the thousands or refugees who were interred by the British and shipped off to Hay Camp 7 in Australia. While there he was fortunate in that he got to study mathematics under Felix Behrend. When he got back to the UK, he garnered a BSc at Durham University and then went to Ireland in 1944 where he got an assistantship with Paul Ewald at Queens University Belfast (QUB).[3] He then became a scholar at the Dublin Institute for Advanced Studies in 1944–1946.[4]


He then moved to the USA, where he was a visiting scholar[5] at the Institute for Advanced Study (IAS) in Princeton (1946-47).[6]


He then attended Princeton University and got a Ph.D. in 1948 with the thesis Unitary Representations of Infinite Groups.[7]


He was a Guggenheim Fellow at Johns Hopkins University in the academic year 1954-55.[8]


Working in the fields of ergodic theory of geodesic flows, he published a paper in 1957 that established the lemma and the phenomenon that bear his name.[9]


He published a ground-breaking paper in 1958 that established him as a pioneer in the representation theory of reducible p-adic groups.[10]


The Mautner Group, a special five-dimensional Lie group, is named after him.[11]


Frederich had one daughter, Jean Mautner.

Mautner, F. I. (February 1948). . Proc Natl Acad Sci U S A. 34 (2): 52–54. doi:10.1073/pnas.34.2.52. PMC 1062914. PMID 16588786.

"The Completeness of the Irreducible Unitary Representations of a Locally Compact Group"

Mautner, F. I. (1950). "Unitary representations of locally compact groups I". Annals of Mathematics. Second Series. 51 (1): 1–24. :10.2307/1969494. JSTOR 1969494.

doi

Mautner, F. I. (1950). "Unitary representations of locally compact groups II". Annals of Mathematics. Second Series. 52 (3): 528–556. :10.2307/1969431. JSTOR 1969431.

doi

Mautner, F. I. (1950). . Proc. Amer. Math. Soc. 1 (5): 582–584. doi:10.1090/s0002-9939-1950-0039728-2. MR 0039728.

"Infinite-dimensional irreducible representations of certain groups"

Mautner, F. I. (1951). . Trans. Amer. Math. Soc. 70 (3): 531–548. doi:10.1090/s0002-9947-1951-0041855-6. MR 0041855.

"The regular representation of a restricted product of finite groups"

Mautner, F. I. (1951). . Proc. Amer. Math. Soc. 2 (3): 490–496. doi:10.1090/s0002-9939-1951-0041856-3. MR 0041856.

"On the decomposition of unitary representations of Lie groups"

Mautner, F. I. (July 1951). . Proc Natl Acad Sci U S A. 37 (7): 431–435. doi:10.1073/pnas.37.7.431. PMC 1063394. PMID 16578378.

"A Generalization of the Frobenius Reciprocity Theorem"

Mautner, F. I. (August 1951). . Proc Natl Acad Sci U S A. 37 (8): 529–533. doi:10.1073/pnas.37.8.529. PMC 1063414. PMID 16578390.

"Fourier Analysis and Symmetric Spaces"

Mautner, F. I. (January 1953). . Proc Natl Acad Sci U S A. 39 (1): 49–53. doi:10.1073/pnas.39.1.49. PMC 1063724. PMID 16589235.

"On Eigenfunction Expansions"

Mautner, F. I. (January 1954). . Proc Natl Acad Sci U S A. 40 (1): 33–36. doi:10.1073/pnas.40.1.33. PMC 527933. PMID 16589421.

"Geodesic Flows and Unitary Representations"

with : Ehrenpreis, L.; Mautner, F. I. (15 April 1955). "Uniformly bounded representations of groups". Proc Natl Acad Sci U S A. 41 (4): 231–233. doi:10.1073/pnas.41.4.231. PMC 528064. PMID 16589653.

L. Ehrenpreis

Mautner, F. I. (1955). . Trans. Amer. Math. Soc. 78 (2): 371–384. doi:10.1090/s0002-9947-1955-0067230-x. MR 0067230.

"Note on the Fourier inversion formula on groups"

with L. Ehrenpreis: Ehrenpreis, L.; Mautner, F. I. (1957). . Trans. Amer. Math. Soc. 84: 1–55. doi:10.1090/s0002-9947-1957-0083683-7. MR 0083683.

"Some properties of the Fourier transform on semi-simple Lie groups. II"

with L. Ehrenpreis: Ehrenpreis, L.; Mautner, F. I. (1957). . Trans. Amer. Math. Soc. 90 (3): 431–484. doi:10.1090/s0002-9947-1959-0102755-3. MR 0102755.

"Some properties of the Fourier transform on semi-simple Lie groups. III"