Zeros / CONCEPT
Backward Shift Adjoint
The backward shift and zero-extended translation are Hilbert adjoints whose star products identify the orthogonal projection onto divisible coefficient families.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES2
PROOF DEPTH10
DOCUMENT LINKS1
The backward-shift adjoint is forward translation
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Backward Shift Coisometrystructural-affinity · Closed
- Backward Shift Operatorstructural-affinity · Closed
- Coprime Double Commutationstructural-affinity · Closed
- Multiplicative Address Shifts and Labeled Zetastructural-affinity · Closed
- Pure Shift and the Euler-Sieve Vacuumstructural-affinity · Closed
- Quasi-Lattice Order and Nica Covariancestructural-affinity · Closed
- Semigroup Relations and Nica Covariancestructural-affinity · Closed
- Shift Range Projectionstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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