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Convergence in the topology of $B^2$ implies convergence in $L^2_{loc}(\mathbb{R}^d)$

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#functional-analysis #lebesgue-integral #almost-periodic-functions
88
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How to map "smooth hills" to "bumpy" hills?

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#geometry #functions #graphing-functions #almost-periodic-functions
236
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A counterexample to convergence in $B^2$ implies convergence in $L^2_\text{loc}$

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#functional-analysis #weak-convergence #almost-periodic-functions
47
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Long time average of solution to ODE with almost periodic structure

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#real-analysis #ordinary-differential-equations #asymptotics #stability-in-odes #almost-periodic-functions
295
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Which functions do Dirichlet series represent?

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#complex-analysis #dirichlet-series #almost-periodic-functions
69
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Asymptotic estimate on minimum of a function

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#asymptotics #almost-periodic-functions
1.6k
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How to check if $e^{-2t}cos(2 \pi t)$ is periodic/non-periodic?

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#exponential-function #periodic-functions #almost-periodic-functions
113
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Solution to $\frac{\operatorname{d}x(t)}{\operatorname{d}t} = -\sin(x(t))$?

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#ordinary-differential-equations #trigonometry #almost-periodic-functions
78
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Holomorphic almost periodic function: how do the number of zeros in a box of height $T$ scale with $T$?

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#complex-analysis #asymptotics #almost-periodic-functions
145
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Generalization of periodicity

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#bessel-functions #periodic-functions #almost-periodic-functions #quasiperiodic-function
318
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Symmetry in an almost periodic function

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#trigonometric-series #almost-periodic-functions
40
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Continuous extension of spectrum 'borders' of the Schroedinger operator

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#functional-analysis #spectral-theory #unbounded-operators #almost-periodic-functions
16
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How to model a pseudo periodic signal?

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#normal-distribution #almost-periodic-functions #quasiperiodic-function
26
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Almost periodic functions and their integrals.

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#real-analysis #sequences-and-series #analysis #epsilon-delta #almost-periodic-functions
862
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Function $z(\theta) = e^{i \theta} + e^{i \theta \pi}$ is not periodic because $\pi$ is irrational.

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#exponential-function #periodic-functions #almost-periodic-functions

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