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Loo Keng Hua

Loo Keng Hua or Luo-Geng Hua, Chinese mathematician (Jintan, Jiangsu Province 12 November 1910 – Tokyo 12 June 1985)
 
 
Authored over 200 papers, 10 books and monographs
 
Developed Vinogradov mean value theorem (1940s)
 
First to show that every semi-automorphism of a skew field is either an automorphism or an anti-automorphism
 
Proved that every normal sub-field of a skew field is contained in its center (Cartan-Brauer-Hua theorem)
 
Proposed extending Hodge theory to open Hermitian manifolds (1959)
 
Made important contributions to the development of the circle method and variations of Waring’s problem
 
Found the symmetry of inertial motion
 
Computed the kernel functions for all classical domains
 
Solved the problem of expanding the regular functions of a function of several complex variables concretely and non-locally into a series in a canonical domain 
 
Invented an alternative deterministic method

Proved fundamental theorem of geometry of matrices over the complex and real field (1945-7)


Proved the fundamental theorem of the geometry of symmetric matrices over any field of characteristic not two (1949) and that of the geometry of rectangular matrices over a division ring #F2 (1951)


Proved the fundamental theorem of one-dimensional projective geometry


Proved the Abelian summable convergence theorem for the Fourier expansion of a continuous function over a compact group 


With Y. Wang proposed a method for numerical evaluation of multiple integrals based on classical algebraic number theory and Diophantine approximations known as Hua-Wang method (1958-64)

 
 

EPONYMY  

Hua theorem

Hua inequality or lemma (1938)

Hua matrix inequality

Hua matrix equality (1955)

Hua operator

Hua equation

Hua measure

Hua matrix

Hua determinant inequality

Siegel-Hua spaces

Siegel-Hua metric

Hua interpolate matrix integral

Poisson-Hua kernels