Realization of associative products in terms of Moyal and tomographic symbols Articles uri icon

publication date

  • March 2013

start page

  • 1

end page

  • 6


  • 3(038107)


  • 87

International Standard Serial Number (ISSN)

  • 0031-8949

Electronic International Standard Serial Number (EISSN)

  • 1402-4896


  • The quantizer-dequantizer method allows us to construct associative products on any measure space. In this paper, we consider an inverse problem: given an associative product is it possible to realize it within the quantizer-dequantizer framework? The answer is positive in finite dimensions and we give a few examples in infinite dimensions.


  • alternative commutation relations; deformation quantization; quantum-mechanics; star products; representation; distributions; systems