Results 11 to 20 of about 527,109 (283)
Pseudo-integral operators [PDF]
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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Derivation of bounds of several kinds of operators via (s,m) $(s,m)$-convexity
The objective of this paper is to derive the bounds of fractional and conformable integral operators for (s,m) $(s,m)$-convex functions in a unified form.
Young Chel Kwun +4 more
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de Pagter, B. +2 more
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Fourier integrals operators on lie groupoids [PDF]
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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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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Integrated Resolvent Operators [PDF]
Der Autor betrachtet die Integro-Differential-Gleichung \[ u'(t)=Au (t)+\int^t_0 B(t-s) u(s) ds+f(t), \quad t\in [ 0,T ], \quad u(0) =x. \tag{VE} \] Dabei ist \(A\) ein linearer abgeschlossener Operator mit (nicht notwendig dichtem) Definitionsbereich \(D(A)\) in einem Banachraum \(X\), der die Hille-Yoshida-Bedingung erfüllt. Es gibt reelle Konstanten
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Fast Computation of Fourier Integral Operators [PDF]
We introduce a general purpose algorithm for rapidly computing certain types of oscillatory integrals which frequently arise in problems connected to wave propagation and general hyperbolic equations.
Candes, Emmanuel +2 more
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Inequalities for a Unified Integral Operator and Associated Results in Fractional Calculus
Integral operators are useful in real analysis, mathematical analysis, functional analysis and other subjects of mathematical approach. The goal of this paper is to study a unified integral operator via convexity.
Young Chel Kwun +5 more
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BCR algorithm and the $T(b)$ theorem [PDF]
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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Integral operators with operator-valued kernels
Let \((X,\|.\|_X),(Y,\|.\|_Y)\) be Banach spaces with norms \(\|.\|_X\), \(\|.\|_Y\), and let \((S,{\mathcal S},v)\), \((T,{\mathcal T},\mu)\), be \(\sigma\)-finite measure spaces. If \(1\leq p \alpha\})= 0\}. \] The class of bounded linear operators from \(X\) into \(Y\) is denoted by \({\mathcal B}(X,Y)\), and the adjoint space of bounded linear ...
Girardi, Maria, Weis, Lutz
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