Results 11 to 20 of about 32,828 (201)
One functional operator inversion formula
Mathematical Modelling and Analysis, 2001 Some results about inversion formula of functional operator with generalized dilation are given. By means of commutative Banach algebra theory the explicit form of inversion operator is expressed. Some commutative Banach algebras with countable generator
P. Plaschinsky
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Inversion Formula for Continuous Multifractals
Advances in Applied Mathematics, 1997 In their previous paper [Adv. Appl. Math. 18, No. 1, 50-58 (1977; Zbl 0870.28004)] the authors introduced the inverse measure of a multifractal \(\mu\) and argued heuristically that their multifractal spectra are linked by the ``inversion formula''. In this paper, they establish rigorously the inversion formula for the Hausdorff, packing and coarse ...
Riedi, Rudolf H., Mandelbrot, Benoit
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Inverse Measures, the Inversion Formula, and Discontinuous Multifractals
Advances in Applied Mathematics, 1997 The authors introduce the notion of the inverse measure \(\mu^*\) to a given probability measure \(\mu\) on the unit interval \([0,1]\) in a language adopted for the physicist. If \(M\) is the distribution function of \(\mu\), requiring additionally \(M\) to be strictly increasing, then the inverse function \(M^*\) to \(M\) is also a distribution ...
Mandelbrot, Benoit, Riedi, Rudolf H.
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A spacetime derivation of the Lorentzian OPE inversion formula
Journal of High Energy Physics, 2018 Caron-Huot has recently given an interesting formula that determines OPE data in a conformal field theory in terms of a weighted integral of the four-point function over a Lorentzian region of cross-ratio space.
David Simmons-Duffin +2 more
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Prestack Seismic Inversion via Nonconvex L1-2 Regularization
Applied Sciences, 2021 Using seismic data, logging information, geological interpretation data, and petrophysical data, it is possible to estimate the stratigraphic texture and elastic parameters of a study area via a seismic inversion.
Wenliang Nie +4 more
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Global distribution of methane emissions: a comparative inverse analysis of observations from the TROPOMI and GOSAT satellite instruments [PDF]
Atmospheric Chemistry and Physics, 2021 We evaluate the global atmospheric methane column retrievals from the new TROPOMI satellite instrument and apply them to a global inversion of methane sources for 2019 at 2∘ × 2.5∘ horizontal resolution.
Z. Qu +14 more
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A Lorentzian inversion formula for defect CFT
Journal of High Energy Physics, 2020 We present a Lorentzian inversion formula valid for any defect CFT that extracts the bulk channel CFT data as an analytic function of the spin variable.
Pedro Liendo +2 more
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Faà di Bruno's formula and inversion of power series [PDF]
, 2022 Faà di Bruno's formula gives an expression for the derivatives of the composition of two real-valued functions. In this paper we prove a multivariate and synthesised version of Faà di Bruno's formula in higher dimensions, providing a combinatorial ...
Johnston, Samuel, Prochno, Joscha
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Global and regional carbon budget for 2015–2020 inferred from OCO-2 based on an ensemble Kalman filter coupled with GEOS-Chem [PDF]
Atmospheric Chemistry and Physics, 2022 Understanding carbon sources and sinks across the Earth's surface is fundamental in climate science and policy; thus, these topics have been extensively studied but have yet to be fully resolved and are associated with massive debate regarding the sign ...
Y. Kong +5 more
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A crossing-symmetric OPE inversion formula
Journal of High Energy Physics, 2019 We derive a Lorentzian OPE inversion formula for the principal series of sl(2, ℝ). Unlike the standard Lorentzian inversion formula in higher dimensions, the formula described here only applies to fully crossing-symmetric four-point functions and makes ...
Dalimil Mazáč
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