Geodesic
Notes on functional integration
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 26, Tome 487 (2019), pp. 140-150 
A. V. Ivanov. Notes on functional integration. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 26, Tome 487 (2019), pp. 140-150. http://geodesic.mathdoc.fr/item/ZNSL_2019_487_a8/
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2019_487_a8/}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

This work is devoted to the construction of an “integral” on an infinite-dimensional space which combines the approaches proposed earlier and at the same time is the simpliest one. We give a new definition of the construction and study its properties on a special class of functionals. We also consider the introduction of a quasi-scalar product, an orthonormal system, and applications in physics (path integral, loop space, functional derivative). In addition the paper contains a discussion of generalized functionals.

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