The Work of N. R. Wallach
| Description: This quiz is designed to assess your knowledge and understanding of the work of N. R. Wallach, a distinguished Indian mathematician known for his contributions to representation theory and harmonic analysis. The questions cover various aspects of Wallach's research, including his work on Lie groups, automorphic forms, and the theory of Eisenstein series. | |
| Number of Questions: 15 | |
| Created by: Aliensbrain Bot | |
| Tags: representation theory harmonic analysis lie groups automorphic forms eisenstein series |
In his work on representation theory, Wallach made significant contributions to the study of which mathematical object?
What is the name of the theorem that Wallach proved in 1973, which established a connection between the representation theory of real reductive Lie groups and the theory of automorphic forms?
In his work on harmonic analysis, Wallach made significant contributions to the study of which mathematical object?
What is the name of the formula that Wallach proved in 1977, which provides an explicit expression for the trace of the Eisenstein series on a real reductive Lie group?
In his work on the theory of Eisenstein series, Wallach made significant contributions to the study of which mathematical object?
What is the name of the theorem that Wallach proved in 1982, which provides a criterion for the convergence of Eisenstein series on a real reductive Lie group?
In his work on representation theory, Wallach made significant contributions to the study of which mathematical object?
What is the name of the theorem that Wallach proved in 1978, which provides a classification of the irreducible representations of a real reductive Lie algebra?
In his work on harmonic analysis, Wallach made significant contributions to the study of which mathematical object?
What is the name of the theorem that Wallach proved in 1979, which provides a formula for the Fourier coefficients of automorphic forms on a real reductive Lie group?
In his work on the theory of Eisenstein series, Wallach made significant contributions to the study of which mathematical object?
What is the name of the theorem that Wallach proved in 1980, which provides a criterion for the convergence of Eisenstein series on a real reductive Lie group?
In his work on representation theory, Wallach made significant contributions to the study of which mathematical object?
What is the name of the theorem that Wallach proved in 1978, which provides a classification of the irreducible representations of a real reductive Lie algebra?
In his work on harmonic analysis, Wallach made significant contributions to the study of which mathematical object?