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All Analysis

Proved results about limits, continuity and the functions built from them. Belongs here: theorems in real, complex or functional analysis. Does not belong here: results that remain open, filed as conjectures.

Poincare-Bendixson Theorem

Poisson Summation Formula

Pokhozhaev's Identity

Poppy-Seed Bagel Theorem

Pythagorean Trigonometric Identity

Rademacher's Theorem

Radon-Nikodym Theorem

Rellich-Kondrachov Theorem

Residue Theorem

Riemann Mapping Theorem

Riemann Rearrangement Theorem

Riemann-Lebesgue Lemma

Riemann's Removable Singularity Theorem

Riesz Representation Theorem

Riesz-Fischer Theorem

Riesz-Thorin Interpolation Theorem

Rising Sun Lemma

Rolle's Theorem

Rouche's Theorem

Runge's Theorem

Saint-Venant's Theorem

Schwarz Lemma

Schwarz Reflection Principle

Sobolev Embedding Theorem

Squeeze Theorem

Stokes' Theorem

Stone-Weierstrass Theorem

Taylor's Theorem

Titchmarsh Convolution Theorem

Vitali Convergence Theorem

Vitali Covering Theorem

Weierstrass Approximation Theorem

Weierstrass Factorization Theorem

Weierstrass Preparation Theorem

Whitney Extension Theorem

Zahorski's Theorem