Laws of large numbers, spectral translates and sampling over LCA groups
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Publication:6669585
DOI10.1007/s00041-024-10123-wMaRDI QIDQ6669585
Publication date: 22 January 2025
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Stationary stochastic processes (60G10) Sampling theory in information and communication theory (94A20) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)
Cites Work
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- Gabor systems and almost periodic functions
- Pure point spectrum for measure dynamical systems on locally compact Abelian groups
- On the approximate form of Kluvánek's theorem
- Lln for weakly stationary processes on locally compact Abelian groups
- Pointwise theorems for amenable groups.
- Density of spaces of trigonometric polynomials with frequencies from a subgroup in \(L^\alpha\)-spaces
- The Whittaker-Kotel'nikov-Shannon theorem, spectral translates and Plancherel's formula
- AP-frames and stationary random processes
- On sampling and interpolation by model sets
- A converse to Kluvánek's theorem
- Model Sets and New Versions of Shannon Sampling Theorem
- A Sampling Theorem for Stationary (Wide Sense) Stochastic Processes
- Harmonizable stable processes on groups: spectral, ergodic and interpolation properties
- On characterizations of interpolable and minimal stationary processes
- Sampling Theorems for Nonstationary Random Processes
- Sampling and Ergodic Theorems for Weakly Almost Periodic Signals
- Almost Periodic Measures and their Fourier Transforms
- Abstract Exact and Approximate Sampling Theorems
- A Distributional Approach to Generalized Stochastic Processes on Locally Compact Abelian Groups
- An introduction to frames and Riesz bases
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