Results 11 to 20 of about 775,228 (224)
Fourier-Laplace transforms and the Bergman spaces [PDF]
Proceedings of the American Mathematical Society, 1988 The Fourier-Laplace transforms on R n
Saburou Saitoh
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Fourier-Laplace Transforms in Polynomial Ornstein-Uhlenbeck Volatility Models [PDF]
SSRN Electronic JournalWe consider the Fourier-Laplace transforms of a broad class of polynomial Ornstein-Uhlenbeck (OU) volatility models, including the well-known Stein-Stein, Schöbel-Zhu, one-factor Bergomi, and the recently introduced Quintic OU models motivated by the SPX-VIX joint calibration problem.
Eduardo Abi Jaber +2 more
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The accurate numerical inversion of laplace transforms [PDF]
, 1976 Inversion of almost arbitrary Laplace transforms is effected by trapezoidal integration along a special contour. The number n of points to be used is one of several parameters, in most cases yielding absolute errors of order 10-7 for n = 10, 10-11 for n
Tablot, A
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Solid Harmonic Wavelet Bispectrum for Image Analysis. [PDF]
Adv Sci (Weinh)The Solid Harmonic Wavelet Bispectrum (SHWB), a rotation‐ and translation‐invariant descriptor that captures higher‐order (phase) correlations in signals, is introduced. Combining wavelet scattering, bispectral analysis, and group theory, SHWB achieves interpretable, data‐efficient representations and demonstrates competitive performance across texture,
Brown A +3 more
europepmc +2 more sources
On the restriction of the Fourier transform to polynomial curves [PDF]
, 2007 We prove a Fourier restriction theorem on curves parametrised by the mapping P(t) = (P1(t),..., Pn(t)), where each of the P1,..., Pn is a real-valued polynomial and t belongs to an interval on which each of the P1,..., Pn "resembles" a ...
Dendrinos, S.
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Asymptotic behavior of Fourier-Laplace transform [PDF]
Journées équations aux dérivées partielles, 1993 The paper is a summary of a manuscript of the author and a collaborator, Ragnar Sigurdsson, where they studied the asymptotic Fourier-Laplace transform behaviour of a function \(f \in {\mathcal E}' (\mathbb{R}^ n)\). As a summary, the paper contains a lot of results, densely presented, closely connected with the differential operators with constant ...
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Evaluating Improper Integrals using Laplace Transforms
, 2023 We discuss and verify an interesting method for evaluating certain integrals of the form R ∞0 f(t) dt using Laplace transforms. Careful proofs are given to justify the method and establish some limits that streamline the computations.
Stewart, Sean M., Gordon, Russell A.
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Photo-thermo-elastic interactions without energy dissipation in a semiconductor half-space
Results in Physics, 2019 The photo-thermo-elastic analysis problem of a half space without energy dissipation are obtained in the context of Green–Naghdi's (GNII) theory. Closed-form analytical solutions to obtain the physical quantities subjected to a heat flux using the pulse ...
Faris S. Alzahrani, Ibrahim A. Abbas
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On Fourier - Laplace transform of a class of generalized functions [PDF]
Ufa Mathematical Journal, 2020 Summary: We consider a subspace of Schwartz space of fast decaying infinitely differentiable functions on an unbounded closed convex set in a multidimensional real space with a topology defined by a countable family of norms constructed by means of a family \(\mathfrak{M}\) of a logarithmically convex sequences of positive numbers.
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Fourier and Laplace Transforms
, 2003 This textbook presents in a unified manner the fundamentals of both continuous and discrete versions of the Fourier and Laplace transforms. These transforms play an important role in the analysis of all kinds of physical phenomena.
Beerends, R.J. +2 more
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