Results 51 to 60 of about 471,906 (281)
On the Behavior of Fourier Coefficients [PDF]
Proceedings of the American Mathematical Society, 1954 We write (3) 0(t) = f(x + t) f(x t), A(t) = f(x + t) f(x t) -1, where I is a finite number. It is known' that if &(t)-*O as t-0O, then the sequence { nBn(x) } is summable (C, r), r> 1, to the value 1/r, but not necessarily summable (C, 1). It is also known2 that with the same hypothesis the sequence {nBn(x) } is summable by the first logarithmic mean ...
Mohanty, R., Nanda, M.
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Advanced Functional Materials, EarlyView.This study uncovers the unexplored role of intermolecular interactions in multiphoton absorption in coordination polymers. By analyzing [Zn2tpda(DMA)2(DMF)0.3], it shows how the electronic coupling of the chromophores and confinement in the MOF enhance two‐and three‐photon absorption.
Simon Nicolas Deger +11 more
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The sum of a hybrid arithmetic function over a sparse sequence
AIMS MathematicsLet $ \lambda_{f}(n) $ be the $ n $-th normalized Fourier coefficient of $ f $, which is a primitive holomorphic cusp form of even integral weight $ k\geq2 $ for the full modular group $ SL_2(\mathbb{Z}) $.
Huafeng Liu, Rui Liu
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Convex recovery of continuous domain piecewise constant images from non-uniform Fourier samples
, 2017 We consider the recovery of a continuous domain piecewise constant image from its non-uniform Fourier samples using a convex matrix completion algorithm. We assume the discontinuities/edges of the image are localized to the zero levelset of a bandlimited
Biswas, Sampurna +2 more
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ON FOURIER COEFFICIENTS OF MODULAR FORMS [PDF]
Bulletin of the Australian Mathematical Society, 2010 AbstractRecursive formulae satisfied by the Fourier coefficients of meromorphic modular forms on groups of genus zero have been investigated by several authors. Bruinieret al. [‘The arithmetic of the values of modular functions and the divisors of modular forms’,Compositio Math.140(3) (2004), 552–566] found recurrences for SL(2,ℤ); Ahlgren [‘The theta ...
Cummins, C. J., Haghighi, N. S.
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Synchrotron Radiation for Quantum Technology
Advanced Functional Materials, EarlyView.Materials and interfaces underpin quantum technologies, with synchrotron and FEL methods key to understanding and optimizing them. Advances span superconducting and semiconducting qubits, 2D materials, and topological systems, where strain, defects, and interfaces govern performance.
Oliver Rader +10 more
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On the role of total variation in compressed sensing
, 2015 This paper considers the problem of recovering a one or two dimensional discrete signal which is approximately sparse in its discrete gradient from an incomplete subset of its discrete Fourier coefficients which have been corrupted with noise.
Poon, Clarice
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Advanced Functional Materials, EarlyView.HKUST‐1/TiO2 composite materials show a very high photocatalytic hydrogen evolution rate which increases as a function of the irradiation time until reaching a plateau and even surpasses the performance of the 1%Pt/TiO2 material after three photocatalytic cycles.
Alisha Khan +9 more
wiley +1 more source
On the magnitude of Fourier coefficients [PDF]
Proceedings of the American Mathematical Society, 1982 Let \(\Lambda =\{\lambda_ n\}\) be a nondecreasing sequence of positive numbers with \(\Sigma \lambda_ n^{-1}=\infty\) and let f be a real function of period \(2\pi\). f is called to be of \(\Lambda\)-bounded variation (\(\Lambda\) BV) if (*) \(\Sigma | f(b_ n)-f(a_ n)| /\lambda_ n0\) suitable, the class \(\phi\) \(\Lambda\) BV can be defined; in the ...
Schramm, Michael, Waterman, Daniel
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Advanced Functional Materials, EarlyView.Cu‐based catalysts as a cornerstone in advancing sustainable energy technologies are fully reviewed in this manuscript, highlighting their potential in photo‐ and electrocatalysis. It includes metallic copper, copper oxides, copper sulfides, copper halide perovskites, copper‐based metal–organic frameworks (MOFs), and covalent organic frameworks (COFs),
Jéssica C. de Almeida +16 more
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