Complex Analysis in Several Variables

The material in this chapter intentionally interrupts our theoretical development about Hilbert spaces. There are at least two reasons for this interruption. One reason is that this material is a prerequisite for understanding the Hilbert space A2(Bn) of square-integrable holomorphic functions on th...

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Bibliographic Details
Published in:	Inequalities from Complex Analysis pp. 63 - 88
Main Author:	John P. D’Angelo
Format:	Book Chapter
Language:	English
Published:	Washington DC The Mathematical Association of America 2002 Mathematical Association of America
Edition:	1
Subjects:	Abstract spaces Addition Algebra Analytic functions Applied mathematics Applied statistics Arithmetic Banach space Complex analysis Complex variables Dimensional analysis Dimensionality Hilbert spaces MAA books Mathematical analysis Mathematical expressions Mathematical functions Mathematical objects Mathematical series Mathematical values Mathematical variables Mathematics Metric spaces Partial sums Polynomials Power series Pure mathematics Real and complex analysis Separable spaces Statistical physics Statistics Topological spaces linear functional holomorphic function multi-index notation generating function automorphism Hartogs, F linear fractional transformation mean-value property Poisson kernel complete orthonormal system beta function pseudoconvex Hilbert space open unit ball projection anti-holomorphic orthonormal system harmonic vector-valued reproducing property Cauchy-Schwarz inequality geometric series gamma function conjugate holomorphic finite type homogeneous Bergman kernel function partial sum domain region of convergence uniform convergence real part imaginary part Riesz representation
ISBN:	9780883850336, 0883850338
Online Access:	Get full text
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