The Calderón reproducing formula, windowed X-ray transforms, and radon transforms in LP-spaces

Boris Rubin

Type: Article

Publication Date: 1998-03-01

Citations: 42

DOI: https://doi.org/10.1007/bf02475988

View Publication

Locations

Journal of Fourier Analysis and Applications - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	$L^{p}$ estimates for the $X$-ray transform	1983	S.W. Drury
+	The radon transform in infinite-dimensional spaces	2012	В. И. Богачев M. N. Lukintsova
+	Radon and Abel Transforms	2000	Stanley R. Deans
+	Radon transforms and convolution operators	2000	박종국
+ PDF Chat	Support Theorems for the Radon Transform and Cramér-Wold Theorems	2008	Jan Boman Filip Lindskog
+	W p -Spaces and Fourier Transform	1994	R. S. Pathak S. K. Upadhyay
+	Some results on Radon transforms, Huygens’ principle and X-ray transforms	1987	Sigurđur Helgason
+	Fourier and Radon transforms	2012	Robert H. Stolt Arthur B. Weglein
+	Lp estimates for Radon transforms in Euclidean and non-Euclidean spaces	1981	Robert S. Strichartz
+ PDF Chat	$$L^p$$ L p -Integrability, Dimensions of Supports of Fourier Transforms and Applications	2014	K. S. Senthil Raani
+	Plancherel formula for the attenuated Radon transform	2025	Tibor Ódor Enikő Dinnyés
+	Discrete versions of the radon transform	2009	Imants Svalbe Jeanpierre Guédon
+	The radon transforms and some of its applications	1985	J. Resnick
+	Radon transforms and wave equations	1998	Sigurđur Helgason
+	Wavelets and the Windowed Spherical Fourier Transform on Gelfand Pairs	2019	Khalifa Trimèche
+	The Roelcke-Selberg decomposition and the Radon transform	2000	André Unterberger
+	A support theorem for the X-ray transform	1992	Josip Globevnik
+ PDF Chat	Fourier and Beyond: Invariance Properties of a Family of Integral Transforms	2016	Cameron L. Williams Bernhard G. Bodmann Donald J. Kouri
+	Fourier-Haar coefficients and properties of continuous functions	2010	В. Цагарейшвили
+	The finite radon transform : an honors thesis [(HONRS 499)]	2008	Andrea S. Zentz

Works That Cite This (40)

Action	Title	Year	Authors
+ PDF Chat	The Calderón Reproducing Formula Associated with the Heisenberg Group<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msup><mml:mtext mathvariant="bold">H</mml:mtext><mml:mi>d</mml:mi></mml:msup></mml:mrow></mml:math>	2010	Jinsen Xiao Jianxun He
+	Inversion ofk-Plane Transforms via Continuous Wavelet Transforms	1998	Boris Rubin
+	Convolution–backprojection method for the k-plane transform, and Calderón's identity for ridgelet transforms	2004	Boris Rubin
+	Spherical Radon Transform and Related Wavelet Transforms	1998	Boris Rubin
+	An inversion formula of radon transform on the product Heisenberg group	2012	Jianxun He Wen Li-qun
+	Higher-rank wavelet transforms, ridgelet transforms, and Radon transforms on the space of matrices	2006	Gestur Ólafsson E. Ournycheva Boris Rubin
+	Neural network with unbounded activation functions is universal approximator	2015	Sho Sonoda Noboru Murata
+ PDF Chat	Parabolic Wavelet Transforms and Lebesgue Spaces of Parabolic Potentials	2002	Ilham A. Aliev Boris Rubin
+	Inversion of Radon transforms using wavelet transforms generated by wavelet measures	1999	Boris Rubin
+	Reconstruction of functions from their integrals overk-planes	2004	Boris Rubin

Works Cited by This (21)

Action	Title	Year	Authors
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein
+	Fractional Integrals and Potentials	1996	Boris Rubin
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy
+	The Radon Transform	1980	Sigurđur Helgason
+	Wavelets: A Tutorial in Theory and Applications	1992	Charles K. Chui
+ PDF Chat	Windowed Radon Transforms, Analytic Signals, and the Wave Equation	1992	Gerry Kaiser Raymond F. Streater
+	Applications of Gabor and wavelet expansions to the Radon transform	1992	David F. Walnut
+	Lower dimensional integrability of L2 functions	1975	Kennan T. Smith Donald C. Solmon
+	Inversion of<i>k</i>-Plane Transforms and Applications in Computer Tomog	1989	Fritz Keinert
+	On Calderón’s Reproducing Formula	1998	Boris Rubin