Abstract
The subject of functional integration benefits a number of diverse fields, and it has been studied off and on for many years. One of the most important topics is Brownian motion and the associated Wiener measure that describes such processes [Hid70]. Renewed interest in the subject of functional integration arose when Feynman [Fey48] introduced such tools for the description of propagators for time evolution in quantum mechanics. Functional integrals have taken on an immense importance in the functional formulation of quantum fields. It is our intention to discuss all of these topics to some extent.
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© 2011 Birkhäuser Boston
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Klauder, J.R. (2011). Introduction. In: A Modern Approach to Functional Integration. Applied and Numerical Harmonic Analysis. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4791-9_1
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DOI: https://doi.org/10.1007/978-0-8176-4791-9_1
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Online ISBN: 978-0-8176-4791-9
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