A Bessel function multiplier
Daniel M. Oberlin,Hart F. Smith +1 more
- Vol. 127, Iss: 10, pp 2911-2915
About:
The article was published on 1999-04-23 and is currently open access. It has received 15 citations till now. The article focuses on the topics: Bessel polynomials & Bessel filter.read more
Citations
More filters
Journal ArticleDOI
A bilinear approach to cone multipliers II. Applications
Terence Tao,Ana Vargas +1 more
TL;DR: In this article, the wave and Schrodinger equation was shown to have a bilinear approximation in polygonal space in poly(n) in the dimension of the square function.
Journal ArticleDOI
L^p regularity of averages over curves and bounds for associated maximal operators
Malabika Pramanik,Andreas Seeger +1 more
TL;DR: In this article, it was shown that for a finite type curve in R 3 the maximal operator generated by dilations is bounded on If for sufficiently large p. The authors make use of a deep result of Thomas Wolff about decompositions of cone multipliers.
Journal ArticleDOI
Oscillatory and Fourier integral operators with degenerate canonical relations
Allan Greenleaf,Andreas Seeger +1 more
TL;DR: A survey of the L 2 boundedness of oscillatory and Fourier integral operators can be found in this paper, with a focus on topics related to the work of the authors.
Journal ArticleDOI
Averages over curves with torsion
TL;DR: In this paper, the authors established L p Sobolev mapping properties for averages over certain curves in R 3, which improved upon the estimates obtained by L 2 L 1 interpolation.
Journal ArticleDOI
$L^p$-Sobolev estimates for a class of integral operators with folding canonical relations.
Malabika Pramanik,Andreas Seeger +1 more
TL;DR: For a class of generalized Radon transforms for families of curves in a 3D manifold, with folding canonical relations, this paper proved a sharp $L^p$-Sobolev regularity result.
References
More filters
Book
Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals
Elias M. Stein,Timothy S Murphy +1 more
TL;DR: In this article, the authors introduce the Heisenberg group and describe the Maximal Operators and Maximal Averages and Oscillatory Integral Integrals of the First and Second Kind.
Journal ArticleDOI
Problems in harmonic analysis related to curvature
Elias M. Stein,Stephen Wainger +1 more
TL;DR: In this article, the problem of considering other sets besides balls and cubes for the Lebesgue measure of B(e9 x) has been studied and an exposition of recent developments in the literature is given.
Journal ArticleDOI
A note on spherical summation multipliers
TL;DR: In this paper, Carleson and Sjolin gave a new proof of a theorem of L. Carleon and P.Sjolin on the boundedness of spherical summation operators in two variables.
Journal ArticleDOI
Convolution estimates for some measures on curves
TL;DR: In this article, it was shown that A * LP(R3) C Lq (R 3) is LP-improving under certain conditions on A,p, and q. Theorem 1.
Journal ArticleDOI
Geometric Fourier analysis
TL;DR: In this paper, the conditions générales d'utilisation (http://www.numdam.org/legal.php) of a fichier do not necessarily imply a mention of copyright.