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Fourier-rækker : noter til matematik 2/2,…
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Fourier-rækker : noter til matematik 2/2, 1980/81

by Henrik Stetkær

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Indeholder "I. Fourier-rækker", " Introduktion", " Indledende diskussion", " 1. Hovedsætning", " 2. Definition af Fourierrækken for f", " Punktvis konvergens af Fourier-rækker", " 3. Riemann-Lebesgue's lemma", " 4. Sætning om konvergens", " 5. Korollar", " 6. Definition af stykkevis differentiabilitet", " 7. Korollar", " Konvergens i L^2", " 8. Sætning om konvergens af L^2 funktioner", " 9. Parseval's identitet", " Ligelig konvergens", " 10. Sætning om ligelig og absolut konvergens af Fourierrække", " 11. Korollar", " Punktvis konvergens næsten overalt", " Lidt notation", " Reelle trigonometriske rækker", " Andre ortonormalbaser", " 14. Sætning om andre normalbaser (sinus og cosinus)", " 15. Sætning om konvergens for de to normalbaser nævnt i 14.", " 16. Korolar", " 17. Korolar", "Historiske noter ved Ebbe Thue Poulsen", " Opgaver 16-38", "Litteraturhenvisninger", "Tabel over nogle Fourierrækker".

Noter om Fourier-rækker. Manuskriptet er samlet med saks og klister, så nummereringen halter undervejs og der er ingen indholdsfortegnelse. Satsen er maskinskrevet, men ganske nydeligt af den slags at være. ( )
  bnielsen | Jan 15, 2017 |
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