Abstract
We study tempered distributions that are multipliers of the Schwartz space relative to the Moyal product. They form an algebra N under the Moyal product containing the polynomials. The elements of N are represented as infinite dimensional matrices with certain growth properties of the entries. The representation transforms the Moyal product into matrix multiplication. Each real element of N allows a resolvent map with values in tempered distributions and an associated spectral resolution. This giaes a tool to study distributions associated with symmetric, but not necessarily self-adjoint operators.
Original language | English |
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Pages (from-to) | 885-933 |
Number of pages | 49 |
Journal | Publications of the Research Institute for Mathematical Sciences |
Volume | 26 |
Issue number | 6 |
DOIs | |
Publication status | Published - 1990 |
Externally published | Yes |
ASJC Scopus subject areas
- Mathematics(all)