The Zero Set of a Real Analytic Function
Boris Mityagin
Abstract
A brief proof of the statement that the zero-set of a nontrivial real-analytic function in $d$-dimensional space has zero measure is provided.
Topics & Concepts
Zero (linguistics)Function (biology)Set (abstract data type)Zero setMathematicsApplied mathematicsMathematical economicsComputer scienceMathematical analysisPhilosophyLinguisticsProgramming languageEvolutionary biologyBiologyNumerical methods in inverse problemsMathematical Analysis and Transform MethodsMatrix Theory and Algorithms