3 citations · 5 across the 6 of their papers we have counts for
6 papers
Quantization of multidimensional variational principles
Alexander Roi Stoyanovsky
We construct a mathematical version of quantum field theory. It assigns to a multidimensional variational principle an associative algebra which is a quantization of the Poisson al…
Some problems in mathematics and mathematical physics
Alexander Roi Stoyanovsky
We discuss new approaches to fundamental problems of mathematics and mathematical physics such as mathematical foundation of quantum field theory, the Riemann hypothesis, and const…
Non-Gaussian integrals and general hypergeometric functions
Alexander Roi Stoyanovsky
By a non-Gaussian integral we mean integral of the product of an arbitrary function and exponent of a polynomial. We develop a theory of such integrals, which generalizes and simpl…
A formula for inverse matrix
Alexander Roi Stoyanovsky
We give a formula for the inverse matrix to an infinite matrix with possibly noncommutative entries, generalizing the Newton interpolation formula and the Taylor formula.
A mathematical approach to quantum field theory
Alexander Roi Stoyanovsky
We develop a mathematical theory of quantization of multidimensional variational principles, and compare it with traditional constructions of quantum field theory. We conjecture th…
On the mathematical sense of renormalization
A. Stoyanovsky
We place the renormalization procedure in quantum field theory into the familiar mathematical context of quantization of Poisson algebras. The Poisson algebra in question is the al…