Definition Flashcards

1
Q

Gib die Definition von Fourier Koeeffizienten an. Gib die Fourier Reihe an.

A
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2
Q

Definiere folgendes:

  • Trigonometrische Reihen
  • Trigonometrisches Polynom
  • Partialsumme einer Fourier Reihe.
A
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3
Q

Definiere und Erläutere den Dirichlet Kern

A
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4
Q

Definiere den Poisson Kern

A
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5
Q

Definiere das Faltungsprodukt.

A
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6
Q

Beschreibe die Fourier Reihe als Faltungsprodukt.

A
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7
Q

2

Was versteht man unter einem guten Kern?

A
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8
Q

Beschreibe und erläutere die Cecaro Summierbarkeit.

A
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9
Q

Beschreibe und erläutere den Fejer Kern.

A
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10
Q

Definiere und bespreche die Abel Summierbarkeit.

A
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11
Q

Bespreche und erläutere den Poisson Kernel.

A
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12
Q

Definiere die Fourier Transformation.

A
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13
Q

Definiere und beschreibe den Schwarz Raum.

A
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14
Q

Definiere die fourier Transformation auf S.

A
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15
Q

Definiere den Schwarz Raum für höher dimensionale Funktionen.

A
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16
Q

Definiere die Fourier Transformation auf R^d.

A