Almost Periodic Functions |
Contents
GENERALISATION OF ALMOST PERIODIC | 67 |
Appendix B a p FUNCTIONS | 113 |
10 | 116 |
Copyright | |
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² dx a₁ absolutely convergent analytic functions Aneiªnx Anens arbitrarily small arbitrary B₁ b₂ Ba.p Bessel inequality Bochner Bochner-Fejér polynomial characteristic function closure conclude consequently Corollary D₁ define definition denote density differs from zero Dirichlet series domain e>0 corresponds exists a number f(x+Ti Fatou's Theorem finite number fortiori Fourier exponents Fourier series ƒ x ƒ x+7 ƒ x+8 generalisation half-plane inclusion interval integer integral interval of length Lemma limit periodic function M₁ M₂ Parseval equation points positive integer positive number proof properties proves the lemma proves the theorem purely periodic functions real numbers relatively dense Sa.p satisfactorily uniform satisfies the condition sequence ƒn set of numbers strip a1 T₁ T₂ Take trigonometric polynomials trigonometric series u.a.p. function f(x uniformly continuous uniformly convergent variables Wa.p WP a.p. functions write