Analytic Functions of Several Complex Variables: Lectures Delivered at the Institute for Advanced Study During the Fall Term of 1948 |
Contents
orphic | |
6 Definition of a Regular Function | |
11 Carathéodorys Lemma | |
33 other sections not shown
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2n by 2n 2n matrix 2n strongly independent a₁ Abelian functions absolute value algebraic function field algebraically independent analytic mappings analytically independent automorphic forms automorphic functions B₁ bilinear form bounded domain C₁ C₂ Cartan closed subset coefficients compact analytic manifold complex numbers complex variables condition consider constant converges coprime cosets diagonal discontinuous group divisors elements entire function equation equivalence class everywhere coprime exists f₁ function f functions regular G₁ group of analytic h₁ Hence Hermitian homeomorphic independent periods integral Jacobian functions lemma linear mapping linear transformations meromorphic functions modular modulo n-circle neighborhood non-degenerate function non-negative non-singular non-zero period matrix polynomial positive integer positive number power series proved quotient replaced satisfy skew-symmetric space Suppose t₁ Theorem 12 theta functions topological group unimodular upper half-plane Y₁ z₁ zero αβ πί