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A Tauberian theorem for multiple fourier series
There is a development of the classical Tauberian theorem for Riesz summabil i ty [5], quoted in this note as Lemma 1, which has some interesting applications. ANANDA RAU has made use of this development in one case ([1], Theorem 4 or Theorem 6) to obtain converse theorems on the abscissae of summabil i ty of general Dirichlet's series ([1], Theorems 7,
exaly +2 more sources
Partial best approximations and the absolute Cesaro summability of multiple Fourier series [PDF]
The article is devoted to the problem of absolute Cesaro summability of multiple trigonometric Fourier series. Taking a central place in the theory of Fourier series this problem was developed quite widely in the one-dimensional case and the fundamental
S. Bitimkhan, D.T. Alibieva
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Coefficients of multiple Fourier-Haar series and variational modulus of continuity
In this paper, we introduce the concept of a variational modulus of continuity for functions of several variables, give an estimate for the sum of the coefficients of a multiple Fourier-Haar series in terms of the variational modulus of continuity, and ...
T.B. Akhazhanov +3 more
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Efficient Bayesian phase estimation using mixed priors [PDF]
We describe an efficient implementation of Bayesian quantum phase estimation in the presence of noise and multiple eigenstates. The main contribution of this work is the dynamic switching between different representations of the phase distributions ...
Ewout van den Berg
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Generalized Localization and Summability Almost Everywhere of Multiple Fourier Series and Integrals
It is well known that Luzin’s conjecture has a positive solution for one-dimensional trigonometric Fourier series, but in the multidimensional case it has not yet found its confirmation for spherical partial sums of multiple Fourier series. Historically,
R. R. Ashurov
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Order Summability of Multiple Fourier Series [PDF]
Jurkat and Peyerimhoff have characterized monotone Fouriereffective summability methods as those which are stronger than logarithmic order summability. Here the analogous result for double Fourier series is obtained assuming unrestricted rectangular convergence.
Peterson, G. E., Welland, G. V.
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Technical note: Stochastic simulation of streamflow time series using phase randomization [PDF]
Stochastically generated streamflow time series are widely used in water resource planning and management. Such series represent sets of plausible yet unobserved streamflow realizations which should reproduce the main characteristics of observed data ...
M. I. Brunner, A. Bárdossy, R. Furrer
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The multipliers of multiple trigonometric Fourier series
We study the multipliers of multiple Fourier series for a regular system on anisotropic Lorentz spaces. In particular, the sufficient conditions for a sequence of complex numbers {λk}k∈Zn in order to make it a multiplier of multiple trigonometric Fourier
Ydyrys Aizhan +2 more
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Prediction of volcanic fractures based on prestack azimuthal anisotropy: A case study of LFS area in southern Songliao Basin [PDF]
Anisotropic parameter inversion based on pre-stack azimuth gather seismic data is one of the primary methods for fracture prediction, among which two algorithms, RüGER approximate equation and Fourier series expansion, are more widely used.
LI Ning,MIAO He,CAO Kaifang
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Current gas leak detection systems rely on the human senses and experience. It is necessary to develop remote and wide-range gas leak monitoring systems that enable us to quantitatively estimate the gas concentration distribution and amount of leaked gas.
Takuma Aoki +5 more
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