The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Weyl, Hermann

Born Nov. 9, 1885, in Elmshorn, Schleswig-Holstein; died Dec. 8, 1955, in Zürich. German mathematician.

Weyl graduated from the University of Göttingen in 1908. From 1913 to 1930 he was a professor at the Zürich Polytechnical Institute, and from 1930 to 1933, a professor at the University of Göttingen. In 1933, Weyl emigrated to the USA and worked at Princeton in the Institute for Advanced Study. His works are devoted to trigonometric series and series of orthogonal functions, to the theory of functions of complex variables, and to differential and integral equations. He introduced the so-called Weyl sum into the theory of numbers. Weyl’s most important works are concerned with the theory of continuous groups and their representations, along with their applications to problems in geometry and physics. In the field of the philosophy of mathematics, Weyl was a representative of intuitionism.

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In Russian translation:
Algebraicheskaia teoriia chisel. Moscow, 1947.
Klassicheskie gruppy, ikh invarianty i predstavleniia. Moscow, 1947.
Simmetriia. Moscow, 1968. (Contains a bibliography.)

References in periodicals archive

In their ambitious new book, Radical Markets: Uprooting Capitalism and Democracy for a Just Society, Eric Posner (1) and Glen Weyl (2) argue that we must abandon "well-worn ideas," question existing market structures, and embrace experimentation in order to achieve prosperity and progress (p.

WHY MARKETS? WELFARE, AUTONOMY, AND THE JUST SOCIETY

/ Posner and Weyl begin by making the case that the current political and economic situation in the United States is well short of ideal.

A Radical Restructuring and Redistribution of Wealth

As Lanier, Posner and Weyl point out, it is ironic that humans are providing free data to train the artificial-intelligence systems to replace workers across the economy.

Get tech giants to start paying for your data

Duggal, "Upper triangular operator matrices, SVEP and Browder, Weyl theorems," Integral Equations and Operator Theory, vol.

Upper Semi-Weyl and Upper Semi-Browder Spectra of Unbounded Upper Triangular Operator Matrices

Stepanov and Weyl Generalizations of (Asymptotically) Almost Periodic and Almost Automorphic Functions

Generalized Asymptotically Almost Periodic and Generalized Asymptotically Almost Automorphic Solutions of Abstract Multiterm Fractional Differential Inclusions

through markets, Fennell and Posner & Weyl recommend redesigning

IN DEFENSE OF THE FEE SIMPLE

In section 4, Weyl solution, Weyl function are defined and uniqueness theorem for inverse problem according to Weyl function is proved.

INVERSE PROBLEM FOR A CLASS OF DIRAC OPERATORS BY THE WEYL FUNCTION

"That means bass populations in southern Africa reached comparable sizes and numbers relative to the waters where they are native," says Olaf Weyl. He adds, "Given the minimal cost associated with data collection (i.e.

Assessing the status of bass in Africa

The new particle is a cousin of the Weyl fermion, one of the particles in standard quantum field theory.

'Material Universe' Yields Surprising New Particle

The newly discovered particle, known as a Weyl fermion, resembles a massless electron that darts around and through the material in unusual and exciting ways, physicists report online July 16 in Science.

Elusive particle appears in 'semimetal': Weyl fermions detected in tantalum arsenide, physicists say

Two new particles long thought to have existed -- the pentaquark and the Weyl fermion, were experimentally confirmed in groundbreaking news out of MIT, Princeton, and the Large Hadron Collider (LHC).

Meet These New Quantum Particles..

Hermann Weyl

Weyl, Hermann

WORKS