Fourier-Ehrenpreis integral formula for harmonic functions

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概要

• 論文の詳細を見る

• We give a Fourier-Ehrenpreis integral representation formula that expresses a harmonic function in a ball with a prescribed boundary value by superposition of harmonic exponentials.

• 一般社団法人 日本数学会の論文
• 2004-07-01

著者

• YAMANE Hideshi

  Department of Physics Kwansei Gakuin University

• Yamane Hideshi

  Department Of Mathematical Sciences University Of Tokyo

関連論文

• Logarithmic singularities of solutions to nonlinear partial differential equations
• Nonlinear Singular First Order Partial Differential Equations Whose Characteristic Exponent Takes a Positive Integral Value
• Fourier integral representation of harmonic functions in terms of a current
• Singularities in Fuchsian Cauchy Problems with Holomorphic Data
• The Essential Singularity of the Solution of a Ramified Characteristic Cauchy Problem
• A Banach algebra and Cauchy problems with small analytic data (Recent development of micro-local analysis for the theory of asymptotic analysis)
• Nonlinear partial differential equations and logarithmic singularities (Exact WKB Analysis and Microlocal Analysis)
• Global Fuchsian Cauchy Problem
• Fourier-Ehrenpreis integral formula for harmonic functions

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