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2014, Annals of mathematics studies, ISBN 9780691162515, Volume number 189, xiii, 395 pages
This book develops a new theory of multi-parameter singular integrals associated with Carnot-Carathéodory balls. Brian Street first details the classical... 
Singular integrals | Transformations (Mathematics) | Mathematical Analysis, PBK- PBKL | Mathematics | Calculus, Mathematics | Singular Integrals
Book
2007, ISBN 9789812706232, viii, 272
Book
Journal of Computational Physics, ISSN 0021-9991, 11/2016, Volume 325, pp. 338 - 357
We present Gauss–Jacobi quadrature rules in terms of hypergeometric functions for the discretization of weakly singular, strongly singular, hypersingular, and... 
Nyström method | Gauss–Jacobi quadrature rules | Nearly singular integrals | Weakly singular integrals | Hypersingular integrals | Strongly singular integrals | Analysis | Methods | Electromagnetism
Journal Article
Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 10/2015, Volume 218, Issue 1, pp. 219 - 273
Journal Article
Advances in Mathematics, ISSN 0001-8708, 02/2018, Volume 326, pp. 54 - 78
We study the rough bilinear singular integral, introduced by Coifman and Meyer [8],TΩ(f,g)(x)=p.v.∫Rn∫Rn|(y,z)|−2nΩ((y,z)/|(y,z)|)f(x−y)g(x−z)dydz, when Ω is a... 
Singular integrals | Multilinear operators | Rough operators | MATHEMATICS | WEAK TYPE 1 | UNIFORM BOUNDS | HILBERT-TRANSFORMS | COMMUTATORS | OPERATORS
Journal Article
Mathematics of Computation of the American Mathematical Society, ISSN 0025-5718, 01/2018, Volume 87, Issue 309, pp. 309 - 345
We develop two classes of composite moment-free numerical quadratures for computing highly oscillatory integrals having integrable singularities and stationary... 
Oscillatory integrals | Algebraic singularities | Moment-free Filon-type method | Stationary points | Graded points | MATHEMATICS, APPLIED | graded points | moment-free Filon-type method | STATIONARY-POINTS | FORMULA | stationary points | FILON | algebraic singularities | CLENSHAW-CURTIS RULES | NUMERICAL-INTEGRATION | QUADRATURE METHODS | DERIVATIVES | SINGULAR-INTEGRALS
Journal Article
Applied and Computational Harmonic Analysis, ISSN 1063-5203, 03/2014, Volume 36, Issue 2, pp. 183 - 197
Here we present a method of constructing steerable wavelet frames in ( ) that generalizes and unifies previous approaches, including Simoncellis pyramid and... 
Singular integrals | Spherical harmonics | Steerable wavelets | POSITIVE-DEFINITE FUNCTIONS | MATHEMATICS, APPLIED | FRAMES | SPHERES | PHYSICS, MATHEMATICAL | Mathematics - Classical Analysis and ODEs
Journal Article
Statistics and Probability Letters, ISSN 0167-7152, 08/2018, Volume 139, pp. 115 - 118
It is well known that ∫01t−θdt<∞ for θ∈(0,1) and ∫01t−θdt=∞ for θ∈[1,∞). Since t can be taken as an α-stable subordinator with α=1, it is natural to ask... 
[formula omitted]-stable subordinator | Singular integral of [formula omitted]-stable subordinator | α-stable subordinator | Singular integral of α-stable subordinator | Singular integral of alpha-stable subordinator | STATISTICS & PROBABILITY | alpha-stable subordinator | DRIVEN | Parathyroid hormone
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 08/2016, Volume 144, Issue 8, pp. 3413 - 3418
In this note we prove a class of sharp inequalities for singular integral operators in weighted Lebesgue spaces with angular integrability. 
Singular integrals | Angular integrability | MATHEMATICS | NONLINEAR DIRAC-EQUATION | MATHEMATICS, APPLIED | INEQUALITIES | REGULARITY | angular integrability
Journal Article
Complex Analysis and Operator Theory, ISSN 1661-8254, 9/2019, Volume 13, Issue 6, pp. 2687 - 2706
In this paper we extend Luzin inequality for functions defined by the Cauchy-Leray-Fantappiè integral on the complement of a convex domain in $$\mathbb {C}^n$$... 
Singular integral operator | Operator Theory | Primary 32A55 | Analysis | Mathematics, general | Mathematics | Area inequality | Secondary 41A17 | Cauchy-Leray-Fantappiè integral | MATHEMATICS | MATHEMATICS, APPLIED | Cauchy-Leray-Fantappie integral | DOMAINS | Numerical analysis | Equality
Journal Article
1971, Lecture notes in mathematics, ISBN 0387055029, Volume 200, vi, 272
Book
Journal of Computational Physics, ISSN 0021-9991, 12/2015, Volume 303, pp. 498 - 513
Journal Article
2000, ISBN 9783764340858, xii, 427
Book
Publicacions Matematiques, ISSN 0214-1493, 2004, Volume 48, pp. 199 - 208
We shall discuss singular integrals on lower dimensional subsets of R-n. A survey of this topic was given in [M4]. The first part of this paper gives a quick... 
Rectifiable measure | Cauchy kernel | Riesz kernel | Singular integral | EXISTENCE | MATHEMATICS | R(N) | SETS | singular integral | rectifiable measure | ANALYTIC CAPACITY | PRINCIPAL VALUES
Journal Article
Journal of Geometry and Physics, ISSN 0393-0440, 03/2014, Volume 77, pp. 97 - 112
In the context of metric f(R) gravity, we consider a FLRW space–time, filled with a perfect fluid described by a barotropic equation of state (p=γρ). We give... 
Singular Lagrangians | Modified theories of gravity | Noether symmetries | MATHEMATICS, APPLIED | MODELS | DYNAMICS | PHYSICS, MATHEMATICAL | QUANTUM COSMOLOGY | MODIFIED GRAVITY | Physics - General Relativity and Quantum Cosmology
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 06/2019, Volume 386, pp. 568 - 584
Journal Article
Engineering Analysis with Boundary Elements, ISSN 0955-7997, 06/2019, Volume 103, pp. 126 - 136
Boundary element method formulations usually rely eventually on the calculation of weakly singular integrals, and hence robust and efficient algorithms for... 
Singular integrals | Numerical integration | Polar coordinates | Boundary element method | TRANSFORMATION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | ALGORITHM | EQUATIONS | BOUNDARY | Algorithms
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 10/2017, Volume 311, pp. 314 - 323
In this paper, we study one class of generalized convolution-type singular integral equations in class {0}. Such equations are turned into complete singular... 
Fourier transform | Complete singular integral equation | Convolution kernel | Clifford analysis | Fredholm equation | EXISTENCE | MATHEMATICS, APPLIED | CAUCHY KERNEL | OPERATORS
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 11/2017, Volume 273, Issue 10, pp. 3027 - 3060
We prove Lp estimates for trilinear multiplier operators with singular symbols. These operators arise in the study of iterated trilinear Fourier integrals,... 
Time-frequency analysis | Fourier analysis | Multilinear operators | Singular integral operators | MATHEMATICS
Journal Article
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