Analytic Functions of Several Complex Variables: Lectures Delivered at the Institute for Advanced Study During the Fall Term of 1948 |
Contents
The Quotient Field of the Ring of Power Series | 8 |
Two Lemmas | 21 |
Periodic Functions | 24 |
11 other sections not shown
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Common terms and phrases
2n by 2n 2n matrix 2n strongly independent Abelian functions algebraic function field analytic mappings automorphic functions b₁ B₂ bounded domain C₁ C₂ coefficients common divisor compact analytic manifold complex numbers complex variables condition consider constant converge coprime d₂ discontinuous group entire function equation equivalence class everywhere coprime exists expressed field of Abelian finite number function f function regular fundamental region G₂ Gaussian integers group of analytic h₂ Hence Hermitian identically zero integral elements Jacobian functions lemma linear mapping linear transformations meromorphic function modular function modular group modulo n-circle n-rowed column vectors neighborhood non-degenerate function non-degenerate type non-singular non-zero absolute value P₂ period matrix positive integer power series proof prove quotient replaced right cosets skew-symmetric space strongly independent periods Suppose t₁ T₂ Theorem 12 Theorem 9 theta functions topological unimodular matrix unit unit-circle upper half-plane