Theorems · Theorem · functional analysis
Function.hasTemperateGrowth_inner_left
∀ {H : Type u_8} [inst : NormedAddCommGroup H] [inst_1 : InnerProductSpace ℝ H] (c : H),
Function.HasTemperateGrowth fun x => inner ℝ x c- Cited by
- 9 results in Mathlib
- Foundations
- Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- InnerProductSpacestatement and proof · cited by 3,523
- Inner.innerstatement · cited by 1,089
- ContinuousLinearMap.flipproof · cited by 128
- innerSLproof · cited by 93
- Function.HasTemperateGrowthstatement · cited by 88
- ContinuousLinearMap.hasTemperateGrowthproof · cited by 8
Cited by9
Results whose statement or proof uses this declaration.
- TemperedDistribution.fourier_lineDerivOp_eqproof · cited by 1
- TemperedDistribution.besselPotential_neg_one_lineDerivOp_eqproof · cited by 1
- SchwartzMap.fourierInv_lineDerivOp_eqproof · cited by 1
- TemperedDistribution.laplacian_eq_fourierMultiplierCLMproof · cited by 1
- TemperedDistribution.fourierInv_lineDerivOp_eqproof · cited by 0
- TemperedDistribution.MemSobolev.lineDerivOpproof · cited by 0
- SchwartzMap.laplacian_eq_fourierMultiplierCLMproof · cited by 0
- TemperedDistribution.lineDerivOp_fourierInv_eqproof · cited by 0
- TemperedDistribution.lineDerivOp_fourier_eqproof · cited by 0