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19 April 2024
 
  » arxiv » 0910.2453

 Article overview


Quadratic exponential vectors
Luigi Accardi ; Ameur Dhahri ;
Date 13 Oct 2009
AbstractWe give a necessary and sufficient condition for the existence of a quadratic exponential vector with test function in L2(Rd) ? L?(Rd). We prove the linear independence and totality, in the quadratic Fock space, of these vectors. Using a technique different from the one used, we also extend, to a more general class of test functions, the explicit form of the scalar product between two such vectors.
Source arXiv, 0910.2453
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