Analytic Functions of Several Complex Variables |
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Page 230
... ANALYTIC FUNCTIONS , Princeton University Presse , 1960 . These present notes make no pretense of originality . They will have served their purpose if they are useful and accurate . I thank various ... Analytic Function Analytic Continuation.
... ANALYTIC FUNCTIONS , Princeton University Presse , 1960 . These present notes make no pretense of originality . They will have served their purpose if they are useful and accurate . I thank various ... Analytic Function Analytic Continuation.
Page 242
... function on ( 8 , § ) . Definition 1.3 . A function f defined on a domain over C ^ , ( 8 , § ) is holomorphic at PE ( E , ) if there exists a neighborhood of P , such ... Analytic functions of several complex variables Definition 1.11 . The.
... function on ( 8 , § ) . Definition 1.3 . A function f defined on a domain over C ^ , ( 8 , § ) is holomorphic at PE ( E , ) if there exists a neighborhood of P , such ... Analytic functions of several complex variables Definition 1.11 . The.
Page 246
... function analytic in it and with singularities at every point of its boundary . For example , if one has a denumerable set of points z 1 z 2 ) ... which lie on the boundary and come arbitrarily close to every point of the boundary , one ...
... function analytic in it and with singularities at every point of its boundary . For example , if one has a denumerable set of points z 1 z 2 ) ... which lie on the boundary and come arbitrarily close to every point of the boundary , one ...
Contents
Introduction | 228 |
The JostLehmannDyson Representation | 291 |
Laplace Transforms Analytic Functions and Temperate | 308 |
1 other sections not shown
Common terms and phrases
analytic continuation analytic functions analytic manifold analytic tangent space Behnke Bochner CARTAN class of functions complex variables connected continuity theorem converges uniformly convex defined Definition derivatives dimensional dimensions distinguished boundary doubly inadmissible Dyson dz₂ example Exercise exists f is holomorphic f(z₁ face Figure formula Fourier transform function analytic function f functions holomorphic Funktionen mehrerer Gårding holomorphic functions holomorphy domain holomorphy envelope homeomorphism hyper-plane hypersurface intersection Laplace transform limiting disc local homeomorphism mapping Math neighborhood obtained open set polycircle polynomial power series proof prove pseudo-convex real axis region Riemann surface satisfies Šilov boundary singularities solution space-like surface Stokes theorem subdomain subset sufficiently small support of G(p support properties Suppose temperate distribution theory tube uniform convergence upper half plane vacuum expectation value vanishes w₁ wave equation z₁ z₂ zero