Manuscript III-B@1 · III-B-v1.tex · proposition · d2c98f62

Proposition: Homogeneous subtraction

The supported triangular Cauchy quotient › Why zero scalar data are not generally preserved · lines 1318–1335 · proof included or linked

III-B@1#prop:subtraction

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For every admitted residual wave gauge,

Consequently a zero-scalar-data prescription is preserved only when has zero scalar Cauchy data.

Proof. Both sides have zero data and satisfy

Use uniqueness. The last assertion follows by evaluating the transformed scalar data.

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