Abstract
A Feynman-type integral over an abstract Hilbert space is defined in terms of approximations which are determined by finite dimensional projections. One obtains on this basis a theory that appears to be an attractive alternative to other approaches. The usual specialization to nonrelativistic path integrals is discussed, and phase-space integrals as well as integrals for free fields are considered briefly.
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Tarski, J. (1979). Feynman-type integrals defined in terms of general cylindrical approximations. In: Albeverio, S., et al. Feynman Path Integrals. Lecture Notes in Physics, vol 106. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-09532-2_81
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DOI: https://doi.org/10.1007/3-540-09532-2_81
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