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Notes on functional integration
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 26, Tome 487 (2019), pp. 140-150 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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     author = {A. V. Ivanov},
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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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