On the Representation of Band-Dominant Functions on the Sphere Using Finitely Many Bits

H. N. Mhaskar, F. J. Narcowich, J. D. Ward

Type: Article

Publication Date: 2004-02-18

Citations: 3

DOI: https://doi.org/10.1023/b:acom.0000016434.97920.1f

View Publication

Locations

Advances in Computational Mathematics - View

Similar Works

Action	Title	Year	Authors
+	Positive matrix functions on the bitorus with prescribed Fourier coefficients in a band	1999	Mihály Bakonyi Leiba Rodman Ilya M. Spitkovsky Hugo J. Woerdeman
+	On Bounding \|\| A -1 \|\| ∞ for Banded A	1979	Stephen Demko
+	On the Fourier tails of bounded functions over the discrete cube	2007	Irit Dinur Ehud Friedgut Guy Kindler Ryan O’Donnell
+ PDF Chat	Approximation with One-Bit Polynomials in Bernstein Form	2022	C. Sınan Güntürk Weilin Li
+	Approximation by Finite Blaschke Products	2018	Stephan Ramon Garcia Javad Mashreghi William T. Ross
+	A Class of Characterization of α-Bloch Functions in the Unit Ball	2003	XU Hui-ming
+ PDF Chat	Fourier coefficients of bounded functions	1941	Bernard Friedman
+ PDF Chat	Characterizations of Bloch functions on the unit ball of ${\bf C}^n$	1993	Zeng Jian Lou
+ PDF Chat	Block additive functions on the Gaussian integers	2008	Michael Drmota Peter J. Grabner Pierre Liardet
+	A coding theoretical interpretation of Gaussian-Pell polynomials	2022	Bandhu Prasad
+	On the theory of b-functions	1977	環矢野
+	Approximation on [−1,1]	1997
+	Equivalent characterizations of α-Bloch functions on the unit ball	2011	Min Zhu Zhang Huai Hui Chen
+	Equivalent Characterizations of α-Bloch Functions on the Unit Ball	2011	Мин Zhu Zhang Huai Hui Hui Chen
+	A theory of one-sided approximation in L₁[a,b] /	1967	Ronald DeVore
+	On the set of divisors of Gaussian integers	2019	Helmut Maier Saurabh Kumar Singh
+	Sharp coefficient and distortion estimates for p-Bloch functions	2014	Takao Terada
+	Sharp coefficient and distortion estimates for p-Bloch functions	2009	貴雄寺田
+	A characterization of uniformly bounded cosine functions generators	1989	Ioana Ciorănescu Pedro Ubilla
+	On the approximation by polynomials in C[0, 1]q	1984	Sorin G. Gal

Works That Cite This (3)

Action	Title	Year	Authors
+	On the representation of smooth functions on the sphere using finitely many bits	2005	H. N. Mhaskar
+	Polynomial approximation on the sphere using scattered data	2008	Frank Filbir Woula Themistoclakis
+	Local quadrature formulas on the sphere	2004	H. N. Mhaskar

Works Cited by This (9)

Action	Title	Year	Authors
+	Constructive approximation : advanced problems	1996	George G. Lorentz Manfred V. Golitschek Yuly Makovoz
+	Topological vector spaces, distributions and kernels	2006	François Trèves
+ PDF Chat	Asymptotics for minimal discrete energy on the sphere	1998	Arno B. J. Kuijlaars E. B. Saff
+ PDF Chat	Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature	2000	H. N. Mhaskar F. J. Narcowich J. D. Ward
+	On the Representation of Band Limited Functions Using Finitely Many Bits	2002	H. N. Mhaskar
+	Asymptotics and Special Functions	1997	F. W. J. Olver
+	Distributing many points on a sphere	1997	Edward B. Saff Arno B. J. Kuijlaars
+ PDF Chat	Orthogonal Polynomials	1971
+	None	1999	H. N. Mhaskar F. J. Narcowich J. D. Ward