Theorems · Theorem · number theory
IsStrongFEPair.hasMellin
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℂ E] {P : WeakFEPair E},
IsStrongFEPair P → ∀ (s : ℂ), HasMellin P.f s (P.Λ s)The Mellin transform of f is well-defined and equal to P.Λ s, for all s.
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- Foundations
- Depth 275 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- Complexstatement and proof · cited by 5,565
- WeakFEPairstatement and proof · cited by 51
- WeakFEPair.fstatement · cited by 23
- WeakFEPair.Λstatement · cited by 20
- IsStrongFEPairstatement and proof · cited by 13
- HasMellinstatement · cited by 7
- IsStrongFEPair.Λ_eqproof · cited by 6
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