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Polynomial.Chebyshev.measureT

MeasureTheory.Measure ℝ

Lebesgue measure scaled by √(1 - x ^ 2)⁻¹.

Defined in
Mathlib.Analysis.SpecialFunctions.Trigonometric.Chebyshev.Orthogonality
Cited by
11 results in Mathlib
Foundations
Depth 243 from the axioms · uses propext, Classical.choice, Quot.sound

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Polynomial.Chebyshev.integral_eval_T_real_measureT_of_ne_zero · cited by 3Chebyshev.integral_eval_T…Polynomial.Chebyshev.integral_eval_T_real_measureT_zero · cited by 3Chebyshev.integral_eval_T…Polynomial.Chebyshev.integral_measureT_eq_integral_cos · cited by 3Chebyshev.integral_measur…Polynomial.Chebyshev.integrable_measureT · cited by 2Chebyshev.integrable_meas…Polynomial.Chebyshev.integral_eval_T_real_mul_eval_T_real_measureT · cited by 2Chebyshev.integral_eval_T…Polynomial.Chebyshev.integral_measureT · cited by 1Chebyshev.integral_measur…Polynomial.Chebyshev.integral_T_real_mul_self_measureT_of_ne_zero · cited by 0Chebyshev.integral_T_real…Polynomial.Chebyshev.integral_eq_sumZeroes · cited by 0Chebyshev.integral_eq_sum…Polynomial.Chebyshev.integral_eval_T_real_mul_eval_T_real_measureT_of_ne · cited by 0Chebyshev.integral_eval_T…Polynomial.Chebyshev.integral_eval_T_real_mul_self_measureT_zero · cited by 0Chebyshev.integral_eval_T…Polynomial.Chebyshev.integral_measureT_eq_integral_cos_of_continuous · cited by 0Chebyshev.integral_measur…Real · cited by 25697RealMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasureTheory.Measure.restrict · cited by 1646Measure.restrictMeasureTheory.MeasureSpace.volume · cited by 1323MeasureSpace.volumeENNReal.ofNNReal · cited by 1279ENNReal.ofNNRealSet.Ioc · cited by 971Set.IocReal.sqrt · cited by 545Real.sqrtMeasureTheory.Measure.withDensity · cited by 265Measure.withDensityNNReal.mk · cited by 94NNReal.mkChebyshev.measureTCITED BYCITES

Cites9

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by11

Results whose statement or proof uses this declaration.