Zangerl, Gerhard; Haltmeier, Markus Multiscale factorization of the wave equation with application to compressed sensing photoacoustic tomography. (English) Zbl 1476.45014 SIAM J. Imaging Sci. 14, No. 2, 558-579 (2021). MSC: 45Q05 65T60 92C55 94A08 PDFBibTeX XMLCite \textit{G. Zangerl} and \textit{M. Haltmeier}, SIAM J. Imaging Sci. 14, No. 2, 558--579 (2021; Zbl 1476.45014) Full Text: DOI arXiv
Gouia-Zarrad, Rim; Roy, Souvik; Moon, Sunghwan Numerical inversion and uniqueness of a spherical Radon transform restricted with a fixed angular span. (English) Zbl 1510.44003 Appl. Math. Comput. 408, Article ID 126338, 14 p. (2021). MSC: 44A12 65R10 92C55 PDFBibTeX XMLCite \textit{R. Gouia-Zarrad} et al., Appl. Math. Comput. 408, Article ID 126338, 14 p. (2021; Zbl 1510.44003) Full Text: DOI
Ben Saïd, Salem A support theorem for the Dunkl spherical mean operator. (English) Zbl 1468.44004 Proc. Am. Math. Soc. 149, No. 1, 279-284 (2021). Reviewer: Deshna Loonker (Jodhpur) MSC: 44A15 39A70 PDFBibTeX XMLCite \textit{S. Ben Saïd}, Proc. Am. Math. Soc. 149, No. 1, 279--284 (2021; Zbl 1468.44004) Full Text: DOI
Salman, Yehonatan Recovering functions from the spherical mean transform with data on an ellipse using eigenfunction expansion in elliptical coordinates. (English) Zbl 1466.44001 Anal. Math. Phys. 9, No. 1, 209-219 (2019). MSC: 44A12 94A12 PDFBibTeX XMLCite \textit{Y. Salman}, Anal. Math. Phys. 9, No. 1, 209--219 (2019; Zbl 1466.44001) Full Text: DOI arXiv
Aramyan, Rafik To local reconstruction from the spherical mean Radon transform. (English) Zbl 1475.44002 J. Math. Anal. Appl. 470, No. 1, 102-117 (2019). MSC: 44A12 53C65 94A08 PDFBibTeX XMLCite \textit{R. Aramyan}, J. Math. Anal. Appl. 470, No. 1, 102--117 (2019; Zbl 1475.44002) Full Text: DOI
Srivastava, R. K. Non-harmonic cones are Heisenberg uniqueness pairs for the Fourier transform on \({\mathbb {R}}^n\). (English) Zbl 1450.42005 J. Fourier Anal. Appl. 24, No. 6, 1425-1437 (2018). MSC: 42A38 42A85 44A35 PDFBibTeX XMLCite \textit{R. K. Srivastava}, J. Fourier Anal. Appl. 24, No. 6, 1425--1437 (2018; Zbl 1450.42005) Full Text: DOI arXiv
Ambartsoumian, Gaik; Gouia-Zarrad, Rim; Krishnan, Venkateswaran P.; Roy, Souvik Image reconstruction from radially incomplete spherical Radon data. (English) Zbl 1392.94032 Eur. J. Appl. Math. 29, No. 3, 470-493 (2018). MSC: 94A08 PDFBibTeX XMLCite \textit{G. Ambartsoumian} et al., Eur. J. Appl. Math. 29, No. 3, 470--493 (2018; Zbl 1392.94032) Full Text: DOI arXiv
Volchkov, V. V.; Volchkov, Vit. V. Conic injectivity sets for the Radon transformation on spheres. (English. Russian original) Zbl 1347.44002 St. Petersbg. Math. J. 27, No. 5, 709-730 (2016); translation from Algebra Anal. 27, No. 5, 1-31 (2015). MSC: 44A12 PDFBibTeX XMLCite \textit{V. V. Volchkov} and \textit{Vit. V. Volchkov}, St. Petersbg. Math. J. 27, No. 5, 709--730 (2016; Zbl 1347.44002); translation from Algebra Anal. 27, No. 5, 1--31 (2015) Full Text: DOI
Nguyen, Linh V. Range description for a spherical mean transform on spaces of constant curvature. (English) Zbl 1405.53102 J. Anal. Math. 128, 191-214 (2016). MSC: 53C65 44A05 PDFBibTeX XMLCite \textit{L. V. Nguyen}, J. Anal. Math. 128, 191--214 (2016; Zbl 1405.53102) Full Text: DOI arXiv
Srivastava, R. K. Non-harmonic cones are sets of injectivity for the twisted spherical means on \(\mathbb {C}^n\). (English) Zbl 1335.43003 Trans. Am. Math. Soc. 368, No. 3, 1941-1957 (2016). Reviewer: Koichi Saka (Akita) MSC: 43A85 44A35 PDFBibTeX XMLCite \textit{R. K. Srivastava}, Trans. Am. Math. Soc. 368, No. 3, 1941--1957 (2016; Zbl 1335.43003) Full Text: DOI arXiv
Kuchment, Peter; Kunyansky, Leonid Mathematics of photoacoustic and thermoacoustic tomography. 2nd edition. (English) Zbl 1331.92076 Scherzer, Otmar (ed.), Handbook of mathematical methods in imaging. In 3 volumes. New York, NY: Springer (ISBN 978-1-4939-0789-2/print; 978-1-4939-0790-8/ebook; 978-1-4939-0791-5/print+ebook; 978-3-642-27795-5/online (updated continuously)). Springer Reference, 1117-1167 (2015). MSC: 92C55 78A70 PDFBibTeX XMLCite \textit{P. Kuchment} and \textit{L. Kunyansky}, in: Handbook of mathematical methods in imaging. In 3 volumes. New York, NY: Springer. 1117--1167 (2015; Zbl 1331.92076) Full Text: DOI
Glatz, Thomas; Scherzer, Otmar; Widlak, Thomas Texture generation for photoacoustic elastography. (English) Zbl 1343.94009 J. Math. Imaging Vis. 52, No. 3, 369-384 (2015). MSC: 94A08 92C55 PDFBibTeX XMLCite \textit{T. Glatz} et al., J. Math. Imaging Vis. 52, No. 3, 369--384 (2015; Zbl 1343.94009) Full Text: DOI arXiv
Roy, Souvik; Krishnan, Venkateswaran P.; Chandrashekar, Praveen; Murthy, A. S. Vasudeva An efficient numerical algorithm for the inversion of an integral transform arising in ultrasound imaging. (English) Zbl 1320.65198 J. Math. Imaging Vis. 53, No. 1, 78-91 (2015). MSC: 65R10 44A12 92C55 PDFBibTeX XMLCite \textit{S. Roy} et al., J. Math. Imaging Vis. 53, No. 1, 78--91 (2015; Zbl 1320.65198) Full Text: DOI
Srivastava, Rajesh K. Coxeter system of lines and planes are sets of injectivity for the twisted spherical means. (English) Zbl 1305.43003 J. Funct. Anal. 267, No. 2, 352-383 (2014). Reviewer: Krzysztof Stempak (Wrocław) MSC: 43A07 43A99 PDFBibTeX XMLCite \textit{R. K. Srivastava}, J. Funct. Anal. 267, No. 2, 352--383 (2014; Zbl 1305.43003) Full Text: DOI
Kuchment, Peter Leon Ehrenpreis, recollections from the recent decades. (English) Zbl 1245.01023 Sabadini, Irene (ed.) et al., The mathematical legacy of Leon Ehrenpreis. Berlin: Springer (ISBN 978-88-470-1946-1/hbk; 978-88-470-1947-8/ebook). Springer Proceedings in Mathematics 16, 15-21 (2012). MSC: 01A70 PDFBibTeX XMLCite \textit{P. Kuchment}, Springer Proc. Math. 16, 15--21 (2012; Zbl 1245.01023) Full Text: DOI
Srivastava, Rajesh K. Sets of injectivity for weighted twisted spherical means and support theorems. (English) Zbl 1250.43009 J. Fourier Anal. Appl. 18, No. 3, 592-608 (2012). Reviewer: Koichi Saka (Akita) MSC: 43A85 44A35 PDFBibTeX XMLCite \textit{R. K. Srivastava}, J. Fourier Anal. Appl. 18, No. 3, 592--608 (2012; Zbl 1250.43009) Full Text: DOI arXiv
Volchkov, V. V.; Volchkov, Vit. V. Functions with vanishing integrals over spheres centered on cones. (English. Russian original) Zbl 1236.44004 Dokl. Math. 83, No. 3, 298-301 (2011); translation from Dokl. Akad. Nauk 438, No. 1, 22-25 (2011). Reviewer: Sergei Platonov (Petrozavodsk) MSC: 44A12 PDFBibTeX XMLCite \textit{V. V. Volchkov} and \textit{Vit. V. Volchkov}, Dokl. Math. 83, No. 3, 298--301 (2011; Zbl 1236.44004); translation from Dokl. Akad. Nauk 438, No. 1, 22--25 (2011) Full Text: DOI
Kuchment, Peter; Kunyansky, Leonid Mathematics of thermoacoustic tomography. (English) Zbl 1185.35327 Eur. J. Appl. Math. 19, No. 2, 191-224 (2008). Reviewer: Antonio Fasano (Firenze) MSC: 35R30 92C55 PDFBibTeX XMLCite \textit{P. Kuchment} and \textit{L. Kunyansky}, Eur. J. Appl. Math. 19, No. 2, 191--224 (2008; Zbl 1185.35327) Full Text: DOI arXiv
Narayanan, E. K.; Rawat, R.; Ray, S. K. Approximation by K-finite functions in \(L^p\) spaces. (English) Zbl 1141.46013 Isr. J. Math. 161, 187-207 (2007). MSC: 46E30 43A85 PDFBibTeX XMLCite \textit{E. K. Narayanan} et al., Isr. J. Math. 161, 187--207 (2007; Zbl 1141.46013) Full Text: DOI
Agranovsky, Mark; Kuchment, Peter; Quinto, Eric Todd Range descriptions for the spherical mean Radon transform. (English) Zbl 1132.44002 J. Funct. Anal. 248, No. 2, 344-386 (2007). Reviewer: Hartmut Fuehr (Aachen) MSC: 44A12 35Q05 35P10 PDFBibTeX XMLCite \textit{M. Agranovsky} et al., J. Funct. Anal. 248, No. 2, 344--386 (2007; Zbl 1132.44002) Full Text: DOI arXiv
Agranovsky, Mark L.; Quinto, Eric Todd Stationary sets for the wave equation in crystallographic domains. (English) Zbl 1029.35157 Trans. Am. Math. Soc. 355, No. 6, 2439-2451 (2003). Reviewer: A.Klíč (Praha) MSC: 35L20 35B05 35L05 PDFBibTeX XMLCite \textit{M. L. Agranovsky} and \textit{E. T. Quinto}, Trans. Am. Math. Soc. 355, No. 6, 2439--2451 (2003; Zbl 1029.35157) Full Text: DOI
Maiorov, Vitaly On best approximation of classes by radial functions. (English) Zbl 1013.41013 J. Approximation Theory 120, No. 1, 36-70 (2003). Reviewer: Yuly Makovoz (Lowell) MSC: 41A50 41A46 PDFBibTeX XMLCite \textit{V. Maiorov}, J. Approx. Theory 120, No. 1, 36--70 (2003; Zbl 1013.41013) Full Text: DOI
Agranovsky, Mark L.; Quinto, Eric Todd Geometry of stationary sets for the wave equation in \(\mathbb R^n\): the case of finitely supported initial data. (English) Zbl 1010.35001 Duke Math. J. 107, No. 1, 57-84 (2001). MSC: 35B05 35L05 35S30 44A12 PDFBibTeX XMLCite \textit{M. L. Agranovsky} and \textit{E. T. Quinto}, Duke Math. J. 107, No. 1, 57--84 (2001; Zbl 1010.35001) Full Text: DOI
Narayanan, E. K.; Thangavelu, S. Injectivity sets for spherical means on the Heisenberg group. (English) Zbl 0995.43003 J. Math. Anal. Appl. 263, No. 2, 565-579 (2001). Reviewer: K.Saka (Akita) MSC: 43A80 22E30 PDFBibTeX XMLCite \textit{E. K. Narayanan} and \textit{S. Thangavelu}, J. Math. Anal. Appl. 263, No. 2, 565--579 (2001; Zbl 0995.43003) Full Text: DOI
Sajith, G.; Thangavelu, S. On the injectivity of twisted spherical means of \(\mathbb{C}^n\). (English) Zbl 0986.43001 Isr. J. Math. 122, 79-92 (2001). Reviewer: Olof Svensson (Norrköping) MSC: 43A07 PDFBibTeX XMLCite \textit{G. Sajith} and \textit{S. Thangavelu}, Isr. J. Math. 122, 79--92 (2001; Zbl 0986.43001) Full Text: DOI
Rawat, Rama; Sitaram, A. Injectivity sets for spherical means on \(\mathbb{R}^n\) and on symmetric spaces. (English) Zbl 0952.43001 J. Fourier Anal. Appl. 6, No. 3, 343-348 (2000). Reviewer: C.A.Berenstein (College Park) MSC: 43A07 43A80 PDFBibTeX XMLCite \textit{R. Rawat} and \textit{A. Sitaram}, J. Fourier Anal. Appl. 6, No. 3, 343--348 (2000; Zbl 0952.43001) Full Text: DOI EuDML
Agranovsky, Mark L.; Rawat, Rama Injectivity sets for spherical means on the Heisenberg group. (English) Zbl 0931.43007 J. Fourier Anal. Appl. 5, No. 4, 363-372 (1999). Reviewer: S.Norvidas (Vilnius) MSC: 43A80 44A12 PDFBibTeX XMLCite \textit{M. L. Agranovsky} and \textit{R. Rawat}, J. Fourier Anal. Appl. 5, No. 4, 363--372 (1999; Zbl 0931.43007) Full Text: DOI EuDML