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Microlocal analysis and phase-space decompositions (1991)

Iagolnitzer, D.

Springer

Letters in mathematical physics 21 (1991), S. 323-328

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ISSN: 1573-0530

Keywords: 42B10 ; 46F15 ; 70G35

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Physics

Notes: Abstract A general class of phase-space decompositions f(x)=∝a(x,p) dp of functions f defined in ℝn is presented. In the latter, a(x,p) depends on values of the Fourier transform F of f in a region around p whose width tends to zero as |x| increases and it decays exponentially, for each p, in all directions in x-space outside the microsupport at p of F, with a rate of exponential fall-off linked to analyticity properties of F in local tubes (in complex space) around p. A possible application in quantum-field theory is mentioned.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00398330

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