2007Abstract and Applied AnalysisOpen access

On Weighted Hadamard-Type Singular Integrals and Their Applications

Yongjia Xu

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Abstract

By means of an expression with a kind of integral operators, some properties of the weighted Hadamard-type singular integrals are revealed. As applications, the solution for certain strongly singular integral equations is discussed and illustrated.

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By means of an expression with a kind of integral operators, some properties of the weighted Hadamard-type singular integrals are revealed. As applications, the solution for certain strongly singular integral equations is discussed and illustrated.

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Available abstract

By means of an expression with a kind of integral operators, some properties of the weighted Hadamard-type singular integrals are revealed. As applications, the solution for certain strongly singular integral equations is discussed and illustrated.

Key concepts: Hadamard transform, Singular integral, Hadamard three-lines theorem, Mathematics, Type (biology), Singular solution, Singular integral operators, Hadamard's inequality

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