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L 2 Spaces and Convolution Operators

Jean‐Pierre Aubin

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Abstract

This chapter contains sections titled: The Space L2(Ω) of Square Integrable Functions The Spaces L2(Ω, a) with Weights The Space Ĥs The Convolution Product for Functions of l0(ℝn) and of L1(ℝn) Convolution Operators Approximation by Convolution Example. Convolution Power for Characteristic Functions Example. Convolution Product for Polynomials: Appell Polynomials

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What this paper is about

This chapter contains sections titled: The Space L2(Ω) of Square Integrable Functions The Spaces L2(Ω, a) with Weights The Space Ĥs The Convolution Product for Functions of l0(ℝn) and of L1(ℝn) Convolution Operators Approximation by Convolution Example. Convolution Power for Characteristic Functions Example. Convolution Product for Polynomials: Appell Polynomials

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Available abstract

This chapter contains sections titled: The Space L2(Ω) of Square Integrable Functions The Spaces L2(Ω, a) with Weights The Space Ĥs The Convolution Product for Functions of l0(ℝn) and of L1(ℝn) Convolution Operators Approximation by Convolution Example. Convolution Power for Characteristic Functions Example. Convolution Product for Polynomials: Appell Polynomials

Key concepts: Convolution (computer science), Convolution power, Mathematics, Convolution theorem, Circular convolution, Product (mathematics), Space (punctuation), Overlap–add method

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