Fourier integral representation of harmonic functions in terms of a current

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概要

• 論文の詳細を見る

• We give a Fourier integral representation of harmonic functions in three variables in terms of the current of integration over {z<SUB>1</SUB><SUP>2</SUP>+z<SUB>2</SUB><SUP>2</SUP>+z<SUB>3</SUB><SUP>2</SUP>=0}⊂ \bm{C}<SUP>3</SUP>.

• 社団法人 日本数学会の論文
• 2002-10-01

著者

• Yamane Hideshi

  Department Of Mathematics Chiba Institute Of Technology

• 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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