Abstract
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.
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© 2011 Birkhäuser Boston
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Klauder, J.R. (2011). Infinite-Dimensional Integrals. In: A Modern Approach to Functional Integration. Applied and Numerical Harmonic Analysis. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4791-9_3
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DOI: https://doi.org/10.1007/978-0-8176-4791-9_3
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