Results 11 to 20 of about 495,262 (315)
Analytic singular integral operators [PDF]
American Journal of Mathematics, 1967 The following paper extends to real analytic manifolds the general theory of singular integral operators as described in [lO] and [13]. The definition of an analytic singular integral operator is made in terms of the kernel of the operator. The symbol of the operator is discussed and in the case of an elliptic operator, a regularity theorem is proved ...
William Margulies
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Singular integral operators and spherical harmonics [PDF]
Transactions of the American Mathematical Society, 1956 where the "characteristic function" k(o) is, say, continuous on the unit sphere and its integral vanishes there. In this paper I shall consider the operation (1) as the convolution of f with a distribution K in the sense of Laurent Schwartz, as it has been done already for n=1 by Schwartz himself [17, p. 115].
J. Horváth
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Singular Integrals and Fractional Powers of Operators [PDF]
Transactions of the American Mathematical Society, 1971 Recently R. Wheeden studied a class of singular integral operators, the hypersingular integrals, as operators from L p α ( H ) L_p^\alpha (H) to L p ( H ) ; L p
Michael J. Fisher
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On the spectral theory of singular integral operators [PDF]
Transactions of the American Mathematical Society, 1960 Walter Koppelman
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Pettis integrals and singular integral operators [PDF]
Illinois Journal of Mathematics, 1994 Brian Jefferies, Susumu Okada
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Singular stochastic integral operators [PDF]
Analysis & PDE, 2021 In this paper we introduce Calderón-Zygmund theory for singular stochastic integrals with operator-valued kernel. In particular, we prove $L^p$-extrapolation results under a Hörmander condition on the kernel. Sparse domination and sharp weighted bounds are obtained under a Dini condition on the kernel, leading to a stochastic version of the solution to
Lorist, E. (author) +1 more
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Systems of Singular Integral Operators on Spheres [PDF]
Transactions of the American Mathematical Society, 1969 Daniel A. Levine
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International Journal of Adaptive Control and Signal Processing, EarlyView., 2023 Summary In this contribution, we propose a detailed study of interpolation‐based data‐driven methods that are of relevance in the model reduction and also in the systems and control communities. The data are given by samples of the transfer function of the underlying (unknown) model, that is, we analyze frequency‐response data.
Quirin Aumann, Ion Victor Gosea
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Singular integral operators on tent spaces [PDF]
Journal of Evolution Equations, 2012 modification of the introduction and references added as suggested by the ...
Pascal Auscher +5 more
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Wavelet representation of singular integral operators
Mathematische Annalen, 2022 This article develops a novel approach to the representation of singular integral operators of Calder n-Zygmund type in terms of continuous model operators, in both the classical and the bi-parametric setting. The representation is realized as a finite sum of averages of wavelet projections of either cancellative or noncancellative type, which are ...
Di Plinio F., Wick B. D., Williams T.
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