Results 11 to 20 of about 537,045 (330)
Magnetic Fourier Integral Operators [PDF]
Journal of Pseudo-Differential Operators and Applications, 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
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Rough Marcinkiewicz integral operators [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 We study the Marcinkiewicz integral operator M𝒫f(x)=(∫−∞∞|∫|y|≤2tf(x−𝒫(y))(Ω(y)/|y|n−1)dy|2dt/22t)1/2, where 𝒫 is a polynomial mapping from ℝn into ℝd and Ω is a homogeneous function of degree zero on ℝn with mean value zero over the unit sphere Sn−1. We
Hussain Al-Qassem, Ahmad Al-Salman
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Journal of Fixed Point Theory and Applications, 2023 AbstractWe introduce the novel concept of integral Read–Bajraktarević (iRB) operator and discuss some of its properties. We show that this iRB operator generalizes the known Read–Bajraktarević (RB) operator and we derive conditions for the fixed point of the iRB operator to belong to certain function spaces.
Marvin Jahn, Peter Massopust
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Applied Mathematics Letters, 2014 Abstract In this paper we define a general integral operator for analytic functions in the open unit disk and we determine some conditions for univalence of this integral operator.
Virgil Pescar, Daniel Breaz
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Subordination preserving integral operators [PDF]
Transactions of the American Mathematical Society, 1983 Let β \beta and γ \gamma be complex numbers and let H H be the space of functions regular in the unit disc. Subordination of functions f f , g ∈ H g \in H is denoted by f ≺ g f \prec g . Let
Miller, Sanford S. +2 more
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Pseudo-integral operators [PDF]
Transactions of the American Mathematical Society, 1979 Let ( X , a , m ) (X,\,\mathcal {a},\,m) be a standard finite measure space. A bounded operator T on L 2 ( X ) {L^2}(X) is called a pseudo-integral operator if
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Journal of Functional Analysis, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
de Pagter, B. +2 more
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BCR algorithm and the $T(b)$ theorem [PDF]
, 2007 We show using the Beylkin-Coifman-Rokhlin algorithm in the Haar basis that any singular integral operator can be written as the sum of a bounded operator on $L^p ...
Auscher, Pascal, Yang, Qi Xiang
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Journal of Mathematical Analysis and Applications, 1999 Let \(f_n(z)= z/(1- z)^{n+ 1}\), \(n\in N_0\), and \(f^{(-1)}_n\) be defined such that \(f_n* f^{-1}_n= {z\over 1-z}\), where \(*\) denotes convolution (Hadamard product). Let \(f\) be analytic in the unit disc \(E\). The authors introduce a new operator \(I_nf= f^{(-1)}_n* f\) which is analogous to one defined by Ruscheweyh.
Inayat Noor, Khalida +1 more
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Fourier integrals operators on lie groupoids [PDF]
, 2016 As announced in [12], we develop a calculus of Fourier integral G-operators on any Lie groupoid G. For that purpose, we study convolability and invertibility of Lagrangian conic submanifolds of the symplectic groupoid T * G.
Lescure, Jean-Marie, Vassout, Stéphane
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