proof app:A-long-proofs@proof-352

open in the book · appendices/A-long-proofs.tex:28086

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proof : app:A-long-proofs@proof-352prooftheorem A.587: The Gaussian average is a non-zero projector that absorbs the Weyl operatorsA.587definition A.585: The Gaussian average of the Weyl operatorsA.585lemma A.584: Fourier injectivity in n variablesA.584lemma A.586: Gaussian integral with a complex linear termA.586lemma A.590: The Gram matrix is universalA.590proposition A.589: Cyclic subspaces and the rank of the averageA.589proposition A.592: The vacuum of the Schrödinger systemA.592

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proves The Gaussian average is a non-zero projector that absorbs the Weyl operators declared appendices/A-long-proofs.tex:28086