Results 31 to 40 of about 651,796 (284)

Inverse Problem for a Partial Differential Equation with Gerasimov–Caputo-Type Operator and Degeneration

open access: yesFractal and Fractional, 2021
In the three-dimensional open rectangular domain, the problem of the identification of the redefinition function for a partial differential equation with Gerasimov–Caputo-type fractional operator, degeneration, and integral form condition is considered ...
Tursun K. Yuldashev   +1 more
doaj   +1 more source

Fourier transform on the Lobachevsky plane and operational calculus [PDF]

open access: yesFunctional Analysis and its Applications, 54, 4 (2020), 278-286, 2020
The classical Fourier transform on the line sends the operator of multiplication by $x$ to $i\frac{d}{d\xi}$ and the operator of differentiation $\frac{d}{d x}$ to the multiplication by $-i\xi$. For the Fourier transform on the Lobachevsky plane we establish a similar correspondence for a certain family of differential operators.
arxiv   +1 more source

Schatten class Fourier integral operators [PDF]

open access: yes, 2011
Fourier integral operators with sufficiently smooth phase act on the time-frequency content of functions. However time-frequency analysis has only recently been used to analyze these operators.
Bishop, Shannon
core   +1 more source

On the Definition of Energy Flux in One-Dimensional Chains of Particles

open access: yesEntropy, 2019
We review two well-known definitions present in the literature, which are used to define the heat or energy flux in one dimensional chains. One definition equates the energy variation per particle to a discretized flux difference, which we here show it ...
Paolo De Gregorio
doaj   +1 more source

One result on boundedness of the Hilbert transform in Marcinkiewics spaces

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2022
In mathematics and in signal theory, the Hilbert transform is an important linear operator that takes a real-valued function and produces another real-valued function.
Nurken Tursynbayuly Bekbayev   +1 more
doaj   +1 more source

Magnetic Fourier Integral Operators

open access: yes, 2010
In some previous papers we have defined and studied a 'magnetic' pseudodifferential calculus as a gauge covariant generalization of the Weyl calculus when a magnetic field is present. In this paper we extend the standard Fourier Integral Operators Theory
D. Robert   +12 more
core   +1 more source

Multigrid method for pricing European options under the CGMY process

open access: yesAIMS Mathematics, 2019
We propose a fast multigrid method for solving the discrete partial integro-differential equations (PIDEs) arising from pricing European options when the underlying asset is driven by an infinite activity Lévy process.
Justin W. L. Wan
doaj   +1 more source

ON THE SPECTRUM OF THE ONE-DIMENSIONAL SCHRÖDINGER HAMILTONIAN PERTURBED BY AN ATTRACTIVE GAUSSIAN POTENTIAL

open access: yesActa Polytechnica, 2017
We propose a new approach to the problem of finding the eigenvalues (energy levels) in the discrete spectrum of the one-dimensional Hamiltonian with an attractive Gaussian potential by using the well-known Birman-Schwinger technique. However, in place of
Silvestro Fassari   +3 more
doaj   +1 more source

On rational Abel – Poisson means on a segment and approximations of Markov functions

open access: yesЖурнал Белорусского государственного университета: Математика, информатика, 2021
Approximations on the segment [−1, 1] of Markov functions by Abel – Poisson sums of a rational integral operator of Fourier type associated with the Chebyshev – Markov system of algebraic fractions in the case of a fixed number of geometrically different
Pavel G. Patseika, Yauheni A. Rouba
doaj   +1 more source

Variations à la Fourier-Weyl-Wigner on Quantizations of the Plane and the Half-Plane

open access: yesEntropy, 2018
Any quantization maps linearly function on a phase space to symmetric operators in a Hilbert space. Covariant integral quantization combines operator-valued measure with the symmetry group of the phase space.
Hervé Bergeron, Jean-Pierre Gazeau
doaj   +1 more source

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