Results 11 to 20 of about 39,423 (231)
Fourier Ptychographic Microscopy via Alternating Direction Method of Multipliers
Cells, 2022 Fourier ptychographic microscopy (FPM) has risen as a promising computational imaging technique that breaks the trade-off between high resolution and large field of view (FOV). Its reconstruction is normally formulated as a blind phase retrieval problem,
Aiye Wang +5 more
doaj +3 more sources
On radial and conical Fourier multipliers [PDF]
Journal of Geometric Analysis, 2010 We investigate connections between radial Fourier multipliers on $R^d$ and certain conical Fourier multipliers on $R^{d+1}$. As an application we obtain a new weak type endpoint bound for the Bochner-Riesz multipliers associated to the light cone in $R ...
Heo, Yaryong +2 more
core +4 more sources
A Variational Formulation for Irreversible Thermodynamics with Path Dependence [PDF]
EntropyThis work introduces a path-dependent energy Lagrangian for irreversible thermomechanics that embeds heat and entropy accounting directly into the action. The formulation requires neither Lagrange multipliers nor Rayleigh potentials.
Huilong Ren
doaj +2 more sources
High Performance DIF-FFT Using Dissimilar Partitioned LUT Based Distributed Arithmetic [PDF]
International Journal of Electronics and Telecommunications, 2021 Real-time data processing systems utilize Digital Signal Processing (DSP) functions as the base modules. Most of the DSP functions involve the implementation of Fast Fourier Transform (FFT) to convert the signals from one domain to another domain.
Kusma Kumari Cheepurupalli +3 more
doaj +1 more source
$L^p$-$L^q$ Boundedness of Spectral Multipliers of the Anharmonic Oscillator
Comptes Rendus. Mathématique, 2022 In this note we study the $L^p-L^q$ boundedness of Fourier multipliers of anharmonic oscillators, and as a consequence also of spectral multipliers, for the range ...
Chatzakou, Marianna, Kumar, Vishvesh
doaj +1 more source
On a Generalization of (Lω1, Lωp)-Multipliers
European Journal of Mathematical Analysis, 2023 This paper deals with a generalized aspect of multipliers for the pair (Lω1, Lωp) of Beurling spaces. Using the Fourier transform related to a Beurling weight, we give a characterization of the aforementioned multipliers. We also prove the identification
Yaovi A. Tissinam +2 more
doaj +1 more source
The regularity properties and blow-up of the solutions for improved Boussinesq equations
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this paper, we study the Cauchy problem for linear and nonlinear Boussinesq type equations that include the general differential operators. First, by virtue of the Fourier multipliers, embedding theorems in Sobolev and Besov spaces, the existence ...
Veli Shakhmurov, Rishad Shahmurov
doaj +1 more source
Weighted Norm Inequalities for Multilinear Fourier Multipliers with Mixed Norm
Abstract and Applied Analysis, 2021 In this paper, weighted norm inequalities for multilinear Fourier multipliers satisfying Sobolev regularity with mixed norm are discussed. Our result can be understood as a generalization of the result by Fujita and Tomita by using the Lr-based Sobolev ...
Mai Fujita
doaj +1 more source
Smoothness of functions versus smoothness of approximation processes
Bulletin of Mathematical Sciences, 2020 We provide a comprehensive study of interrelations between different measures of smoothness of functions on various domains and smoothness properties of approximation processes.
Yu. S. Kolomoitsev, S. Yu. Tikhonov
doaj +1 more source
The multipliers of multiple trigonometric Fourier series
Open Engineering, 2016 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
doaj +1 more source