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5 votes
1 answer
1k views

estimates of exponential polynomials

Let $ p(t) = \Sigma_{k=1}^n c_k e^{i \lambda_k t}$ be an exponential polynomial. In the paper "Local estimates for exponential polynomials and their applications to inequalities of the uncertainty …
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0 votes
0 answers
323 views

Introductory text book for Linear Recurrence Sequences

What is a good introductory text for linear recurrence sequences? What all are the necessary prerequisite for it? (My background is in Euclidean Fourier Analysis.) After browsing through several book …
3 votes
1 answer
668 views

Relation between entire function of exponential type and exponential polynomials

Is it true in general that the theory of entire function of exponential type and and that of exponential polynomials (with purely imaginary exponents) are analogous ? Can one derive results about e …
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8 votes
1 answer
1k views

Salem Inequality

I have come across this inequality in the paper "Local estimates for exponential polynomials and their applications to inequalities of the uncertainty principle type" http://www.math.msu.edu/~fedja/Pu …
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8 votes
4 answers
4k views

Approximation by exponential polynomials

Let $u(t) = \Sigma_{k=1}^n c_k e^{\lambda_k t} (c_k \in \mathbb C, \lambda_k \in \mathbb C) $ be an exponential polynomial of order $n$. Define $E_n$ to be the collection of all exponential polynomi …
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2 votes
3 answers
626 views

How to find the almost period of an exponential polynomial

Let $u(t) = \Sigma_{k=1}^n c_k e^{i \lambda_k t} (c_k \in \mathbb C, \lambda_k \in \mathbb R) $ be an exponential polynomial of order $n$ with purely imaginary exponents. We can assume that the expone …
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3 votes
1 answer
2k views

Queries about the Skolem-Mahler-Lech theorem (integer zeros of exponential polynomials)

The Skolem-Mahler-Lech Theorem says that the integer zeros of an exponential polynomial are the union of complete arithmetic progressions and a finite number of exceptional zeros. http://terrytao.word …
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