definition A.605 The analytic continuation of the overlaps

open in the book · appendices/A-long-proofs.tex:28982 · p. 3082

ground object -- no derivation owed

Rests on

depends_on definition 25.52 Wigner function ¶
- depends_on definition 17.29 Fourier transform; the treatise convention ¶
- depends_on definition 25.44 Weyl and normal ordering ¶
  - depends_on definition 25.42 Ordering rule ¶
    - depends_on corollary 25.41 Quantization is not a functor ¶
      - depends_on theorem 25.38 Groenewold–van Hove ¶
    - depends_on postulate 25.27 Dirac's correspondence rule ¶
      - depends_on equation 22.41 eq:ham-poisson-bracket ¶
      - depends_on theorem 25.3 The bracket is a Lie bracket ¶
depends_on equation A.918 eq:app-hudson-gaussian-coherent ¶

Supports

depends_on lemma A.606 $F$ is entire, and is the overlap in disguise ¶
- depends_on lemma A.607 A zero-free entire function is an exponential ¶
  - depends_on proposition A.609 The exponent is a quadratic polynomial ¶
    - depends_on proposition A.611 The constraint on $\Gamma$ ¶
      - depends_on proposition A.612 The dictionary between $A$ and $\Gamma$ ¶

Neighborhood

Every logical edge within two steps of this node.

declared and complete
partly declared
a check failed
not graded
declared in the source
inferred from structure

Edges

type	direction	node	provenance	where
`depends_on`	→	Wigner function	declared	appendices/A-long-proofs.tex:28991
`depends_on`	→	eq:app-hudson-gaussian-coherent	declared	appendices/A-long-proofs.tex:28991
`depends_on`	←	$F$ is entire, and is the overlap in disguise	declared	appendices/A-long-proofs.tex:29014