lemma A.94 Fundamental solution of $\pp_{\bar z}$

Rests on

• depends_on equation A.218 eq:app-korn-lichtenstein-wirtinger ¶
• depends_on proposition 10.67 The Newtonian potential is the fundamental solution ¶
  • depends_on definition 17.38 Schwartz space and tempered distributions ¶
  • depends_on lemma 10.44 Green's identities ¶
    • depends_on definition 7.98 Functions of class $C^{1}$ ¶
      • depends_on definition 7.20 Continuity at a point ¶
        • depends_on definition 7.16 Limit ¶
        • depends_on equation 7.7 eq:ana-limit-left ¶
        • depends_on equation 7.5 eq:ana-limit-right ¶
      • depends_on definition 7.97 Partial derivative; gradient ¶
        • depends_on definition 7.26 Derivative of a function at a point ¶
        • depends_on definition 5.15 Basis ¶
    • depends_on theorem 7.133 Gauss ¶
      • depends_on definition 7.127 Simple regions ¶
        • depends_on definition 7.98 Functions of class $C^{1}$ ¶ ↺
        • depends_on definition 6.9 Compact set ¶
      • depends_on remark 7.128 What the derivations below take as given ¶
        • depends_on definition 7.125 Multiple integral ¶
        • depends_on theorem 7.40 Continuous functions are integrable ¶
        • depends_on theorem 7.25 Heine–Cantor: uniform continuity ¶
      • depends_on theorem 7.43 Fundamental theorem of calculus, II ¶
        • depends_on definition 7.41 Antiderivative ¶
        • depends_on theorem 7.42 Fundamental theorem of calculus, I ¶
        • proves proof ch:05-real-analysis@proof-25 ¶
      • proves proof ch:05-real-analysis@proof-79 ¶
    • proves proof ch:08-pdes@proof-14 ¶
  • proves proof ch:08-pdes@proof-27 ¶
• proves proof app:A-long-proofs@proof-63 ¶

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