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1.Normal singular Cauchy integral operators with operator-valued symbols

作者：Caixing Gu^a ; ^{cgu@calpoly.edu" class="auth_mail" title="E-mail the corresponding author} ; In Sung Hwang^b ; ^{ihwang@skku.edu" class="auth_mail" title="E-mail the corresponding author} ; Dong-O Kang^c ; ^{dokang@cnu.ac.kr" class="auth_mail" title="E-mail the corresponding author} ; Woo Young Lee^d ; ^{wylee@snu.ac.kr" class="auth_mail" title="E-mail the corresponding author}

关键词：Singular integral operators ; Self-adjoint ; Normal ; Unitary ; Isometry ; Hyponormal

刊名：Journal of Mathematical Analysis and Applications

出版年：2017

2.A hierarchical preconditioner for the electric field integral equation on unstructured meshes based on primal and dual Haar bases

作者：S.B. Adrian^a ; ^b ; ^{simon.adrian@tum.de} ; F.P. Andriulli^b ; ^{francesco.andriulli@mines-telecom.fr} ; T.F. Eibert^a ; ^{eibert@tum.de}

关键词：Electric field integral equation (EFIE) ; Hierarchical basis ; Integral equations ; Numerical methods ; Preconditioning ; Multiresolution ; Multilevel

刊名：Journal of Computational Physics

出版年：2017

3.Muckenhoupt-Wheeden conjectures for fractional integral operators

作者：Yoshihiro Sawano^a ; ^{ysawano@tmu.ac.jp} ; Satoko Sugano^b ; ^{sugano@kobe-kosen.ac.jp} ; Hitoshi Tanaka^c ; ^{htanaka@k.tsukuba-tech.ac.jp}

关键词：Fractional integral operator ; Fractional maximal operator ; Muckenhoupt&ndash ; Wheeden conjecture ; Weighted inequalities

刊名：Journal of Mathematical Analysis and Applications

出版年：2017

4.Sobolev-BMO and fractional integrals on super-critical ranges of Lebesgue spaces

作者：Lucas Chaffee^a ; ^{lucas.chaffee@wwu.edu" class="auth_mail" title="E-mail the corresponding author} ; Jarod Hart^b ; ¹ ; ^{jvhart@ku.edu" class="auth_mail" title="E-mail the corresponding author} ; Lucas Oliveira^c ; ^{lucas.oliveira@ufrgs.br" class="auth_mail" title="E-mail the corresponding author}

关键词：Fractional integral operator ; Sobolev-BMO ; Sobolev inequality ; Bilinear operator

刊名：Journal of Functional Analysis

出版年：2017

5.Projection methods based on grids for weakly singular integral equations

作者：Filomena D. d' Almeida^a ; ^{falmeida@fe.up.pt} ; Rosá ; rio Fernandes^b ; ^{rosario@math.uminho.pt}

关键词：Projection approximations in L1L1 ; Weakly singular integral operators ; Error bounds

刊名：Applied Numerical Mathematics

出版年：2017

6.Potential operators and laplace type multipliers associated with the twisted laplacian

作者：Adam NOWAK ^{adam.nowak@impan.pl}

关键词：twisted Laplacian ; special Hermite expansion ; negative power ; potential operator ; fractional integral ; potential kernel ; spectral multiplier ; singular oscillatory integral

刊名：Acta Mathematica Scientia

出版年：2017

7.Essential norm of substitution vector-valued integral operator on L¹(Σ) space

作者：Z. Moayyerizadeh ^{moayerizadeh.za@lu.ac.ir}

关键词：Integral operator ; Conditional expectation ; Essential norm

刊名：Journal of Mathematical Analysis and Applications

出版年：2017

8.Fast and accurate implementation of Fourier spectral approximations of nonlocal diffusion operators and its applications

作者：Qiang Du ^{jyanghkbu@gmail.com} ; Jiang Yang ; ^{qd2125@columbia.edu}

关键词：Nonlocal diffusion operator ; Peridynamic operator ; Fourier spectral method ; Nonlocal Allen&ndash ; Cahn equation ; Nonlocal Cahn&ndash ; Hilliard equation ; Nonlocal phase-field crystal model

刊名：Journal of Computational Physics

出版年：2017

9.Data-sparse approximation on the computation of a weakly singular Fredholm equation: A stellar radiative transfer application

作者：Paulo B. Vasconcelos^a ; ^b ; ^{pjv@fep.up.pt}

关键词：Integral operators ; Weakly singular kernel ; Data-sparse approximations ; Hierarchically semiseparable matrix

刊名：Applied Numerical Mathematics

出版年：2017

10.A unified class of integral transforms related to the Dunkl transform

作者：Sami Ghazouani^a ; ^{Sami.Ghazouani@ipeib.rnu.tn} ; El Amine Soltani^b ; ^{aminesoltani@hotmail.fr} ; Ahmed Fitouhi^a ; ^{Ahmed.Fitouhi@fst.rnu.tn}

关键词：Canonical commutation relation ; Dunkl transform ; Fractional Dunkl transform ; Generalized Hermite polynomials and functions ; Semigroups of operators

刊名：Journal of Mathematical Analysis and Applications

出版年：2017

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