Results 21 to 30 of about 193,905 (317)
On one rational integral operator of Fourier – Chebyshev type and approximation of Markov functions
Журнал Белорусского государственного университета: Математика, информатика, 2020 The purpose of this paper is to construct an integral rational Fourier operator based on the system of Chebyshev – Markov rational functions and to study its approximation properties on classes of Markov functions. In the introduction the main results of
Pavel G. Patseika +2 more
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On Fourier Integral Operators [PDF]
Proceedings of the American Mathematical Society, 1982 We consider operators of the form: ∫ − ∞ ∞ F t φ ( t ) d t \int _{ - \infty }^\infty {{F_t}\varphi (t)\;dt} , where
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Generalized oscillatory integrals and Fourier integral operators [PDF]
Proceedings of the Edinburgh Mathematical Society, 2009 AbstractIn this paper, a theory is developed of generalized oscillatory integrals (OIs) whose phase functions and amplitudes may be generalized functions of Colombeau type. Based on this, generalized Fourier integral operators (FIOs) acting on Colombeau algebras are defined. This is motivated by the need for a general framework for partial differential
Claudia Garetto +2 more
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A fractional Fourier integral operator and its extension to classes of function spaces
Advances in Difference Equations, 2018 In this paper, an attempt is being made to investigate a class of fractional Fourier integral operators on classes of function spaces known as ultraBoehmians.
Shrideh K. Al-Omari
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On Integral Operators with Operator Valued Kernels [PDF]
, 2009 Here Lq-Lp boundedness of integral operator with operator-valued kernels is studied and the main result is applied to convolution operators. Using these results Besov space regularity for Fourier multiplier operator is established.Comment: 9 ...
Shahmurov, Rishad
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The radiation field is a Fourier integral operator [PDF]
Annales de l’institut Fourier, 2005 We exhibit the form of the ``radiation field,'' describing the large-scale, long-time behavior of solutions to the wave equation on a manifold with no trapped rays, as a Fourier integral operator. We work in two different geometric settings: scattering manifolds (a class which includes asymptotically Euclidean spaces) and asymptotically hyperbolic ...
Antônio Sá Barreto, Jared Wunsch
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On the Measurability of Stochastic Fourier Integral Operators [PDF]
, 2020 This work deals with the measurability of Fourier integral operators (FIOs) with random phase and amplitude functions. The key ingredient is the proof that FIOs depend continuously on their phase and amplitude functions, taken from suitable classes.
Martin Schwarz, Michael Oberguggenberger
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Journal of Kufa for Mathematics and Computer, 2013 In this paper , we introduced a new subclass  which consists of analytic and valent functions with negative coefficients in the unit disk defined by integral operator .
Rafid Habib Buti
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Revisiting one-dimensional discrete-time quantum walks with general coin
Physics Open, 2023 Quantum walk (QW) is the quantum analog of the random walk. QW is an integral part of the development of numerous quantum algorithms. Hence, an in-depth understanding of QW helps us to grasp the quantum algorithms. We revisit the one-dimensional discrete-
Mahesh N. Jayakody +2 more
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The Dunkl kernel and intertwining operator for dihedral groups
, 2020 Dunkl operators associated with finite reflection groups generate a commutative algebra of differential-difference operators. There exists a unique linear operator called intertwining operator which intertwines between this algebra and the algebra of ...
De Bie, Hendrik, Lian, Pan
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