Springer Science and Business Media LLC
Công bố khoa học tiêu biểu
* Dữ liệu chỉ mang tính chất tham khảo
Sắp xếp:
Letter to the Editor: Linear Independence of Time-Frequency Shifts Up To Extreme Dilations
Springer Science and Business Media LLC - Tập 25 - Trang 3214-3219 - 2019
Given $$f \in C_0({{\,\mathrm{\mathbb {R}}\,}}^n)$$ and a finite set $$\Lambda \subset {{\,\mathrm{\mathbb {R}}\,}}^{2n}$$ we demonstrate the linear independence of the set of time-frequency translates $$\mathcal {G}(f, \Lambda ) = \{\pi (\lambda )f\}_{\lambda \in \Lambda }$$ when the time coordinates of points in $$\Lambda $$ are far apart relative to the decay of f. As a corollary, we prove that......
On boundary behavior of harmonic functions in Hölder domains
Springer Science and Business Media LLC - - 1998
A sharper stability bound of Fourier frames
Springer Science and Business Media LLC - Tập 5 - Trang 67-71 - 1999
Given a real sequence {λn}n∈ℤ. Suppose that
$$\left\{ {e^{i\lambda _n x} } \right\}_{n \in \mathbb{Z}}$$
is a frame for L2[−π, π] with bounds A, B. The problem is to find a positive constant L such that for any real sequence {μn}n∈ℤ with ¦μn −λn¦ ≤δ ...
$$L^{p}$$-Improving Bounds and Weighted Estimates for Maximal Functions Associated with Curvature
Springer Science and Business Media LLC - - 2023
Frame Phase-Retrievability and Exact Phase-Retrievable Frames
Springer Science and Business Media LLC - Tập 25 - Trang 3154-3173 - 2019
A phase-retrievable frame $$\{f_{i}\}_{i}^{N}$$ for an n-dimensional Hilbert space is exact if it fails to be phase-retrievable when removing any element from the frame sequence. Unlike exact frames, exact phase-retrievable frames could have different lengths. We shall prove that for the real Hilbert space case, exact phase-retrievable frame of length N exists for every $$2n-1\le N\le n(n+1)/2$$. ......
Extension of a theorem of Fejér to double Fourier-Stieltjes series
Springer Science and Business Media LLC - Tập 7 - Trang 601-614 - 2001
A theorem of Fejér states that if a periodic function F is of bounded variation on the closed interval [0, 2π], then the nth partial sum of its formally differentiated Fourier series divided by n converges to π-1[F(x+0)-F(x-0)] at each point x. The generalization of this theorem for Fourier-Stieltjes series of (nonperiodic) functions of bounded variation is also well known. The aim of the present ......
Kronecker Constants for Finite Subsets of Integers
Springer Science and Business Media LLC - Tập 18 - Trang 326-366 - 2011
A set of integers S is called ε-Kronecker if every function on S of modulus one can be approximated uniformly to within ε by a character. The least such ε is called the ε-Kronecker constant. We transform the problem of calculating ε-Kronecker constants for finite sets of d elements into a geometric optimization problem. Using this approach we can explicitly determine the ε-Kronecker constant for a......
On Spectral Analysis and Spectral Synthesis in the Space of Tempered Functions on Discrete Abelian Groups
Springer Science and Business Media LLC - Tập 24 - Trang 1340-1376 - 2017
We consider some problems of spectral analysis and spectral synthesis in the topological vector space
$${{\mathcal {M}}}(G)$$
of tempered functions on a discrete Abelian group G. It is proved that spectral analysis holds in the space
......
Correction to: On Sampling and Interpolation by Model Sets
Springer Science and Business Media LLC - Tập 27 - Trang 1-1 - 2021
A correction to this paper has been published: https://doi.org/10.1007/s00041-021-09851-0
Tổng số: 1,013
- 1
- 2
- 3
- 4
- 5
- 6
- 10