Extending the Set of Quadratic Exponential Vectors
classification
🧮 math.PR
math.OA
keywords
functionsboundedexponentialtestvectorsalgebraexistextend
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We extend the square of white noise algebra over the step functions on R to the test function space of bounded square-integrable functions on R^d, and we show that in the Fock representation the exponential vectors exist for all test functions bounded by 1/2.
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