## Theory of pseudo-analytic functionsNew York University. Institute for Mathematics and Mechanics, 1953 - Differential equations, Partial - 187 pages |

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### Contents

Pseudoanalytic functions | 6 |

3 Double integrals with Cauchy kernels | 9 |

I Removable singularities | 15 |

30 other sections not shown

### Common terms and phrases

analytic function assume Banach space bounded domain Chapter characteristic coefficients completely normal complex number condition continuous function continuous function defined continuous partial derivatives converges uniformly denote disc elliptic equations equivalent essential singularity F,G)-pseudo-analytic function finite follows at once formal powers defined global formal powers Hence Holder-continuous partial derivatives holds homeomorphism hypothesis implies inequality integral isolated points Iz-z Lemma Let F Let F,G Let w(z Math minimal period monogenic function normal convergence normal generating pair Note once from Theorem pair F,G pole positive number proof follows proof of Theorem properties prove pseudo-analytic function w(z rational pseudo-analytic function real constants regular domain removable singularities Riemann surface Runge's theorem second kind simply connected single-valued singularities solution subspace successor of F,G Taylor series Theorem 6.1 uniformization theorem uniformly bounded vector