Infinite-Dimensional Integrals

Part of the Applied and Numerical Harmonic Analysis book series (ANHA)


Care must be taken when trying to extend commonplace formulas from many integration variables (N < ∞) to infinitely many integration variables (N = ∞ ). The case of independent normal distributions \((\equiv {\rm mean \ zero \ Gaussian})\) is a useful example from which to learn.


Erential Equation Test Sequence Integration Variable Linear Functional Dominate Convergence Theorem 
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Copyright information

© Birkhäuser Boston 2011

Authors and Affiliations

  1. 1.Department of Physics and Department of MathematicsUniversity of FloridaGainesvilleUSA

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