Kiss, Gergely; Malikiosis, Romanos Diogenes; Somlai, Gábor; Vizer, Máté On the discrete Fuglede and Pompeiu problems. (English) Zbl 07190791 Anal. PDE 13, No. 3, 765-788 (2020). MSC: 43A46 20K 39B32 13F20 PDF BibTeX XML Cite \textit{G. Kiss} et al., Anal. PDE 13, No. 3, 765--788 (2020; Zbl 07190791) Full Text: DOI
Ilmavirta, Joonas; Paternain, Gabriel P. Functions of constant geodesic x-ray transform. (English) Zbl 1428.35625 Inverse Probl. 35, No. 6, Article ID 065002, 11 p. (2019). Reviewer: Lalit Mohan Upadhyaya (Mussoorie) MSC: 35Q92 35R30 52A22 58J90 44A12 65N15 53C65 65R10 68U10 92C55 94A12 PDF BibTeX XML Cite \textit{J. Ilmavirta} and \textit{G. P. Paternain}, Inverse Probl. 35, No. 6, Article ID 065002, 11 p. (2019; Zbl 1428.35625) Full Text: DOI
Ciesielski, Krzysztof C.; Seoane-Sepúlveda, Juan B. Differentiability versus continuity: restriction and extension theorems and monstrous examples. (English) Zbl 1414.26010 Bull. Am. Math. Soc., New Ser. 56, No. 2, 211-260 (2019). Reviewer: Andrey Zahariev (Plovdiv) MSC: 26A24 54C30 46T20 58B10 54A35 26A21 26A27 26A30 54C20 41A05 PDF BibTeX XML Cite \textit{K. C. Ciesielski} and \textit{J. B. Seoane-Sepúlveda}, Bull. Am. Math. Soc., New Ser. 56, No. 2, 211--260 (2019; Zbl 1414.26010) Full Text: DOI arXiv
Han, Huhe; Nishimura, Takashi The spherical dual transform is an isometry for spherical Wulff shapes. (English) Zbl 06970484 Stud. Math. 245, No. 3, 201-211 (2019). MSC: 47N10 52A30 82D25 PDF BibTeX XML Cite \textit{H. Han} and \textit{T. Nishimura}, Stud. Math. 245, No. 3, 201--211 (2019; Zbl 06970484) Full Text: DOI arXiv
Han, Huhe; Nishimura, Takashi Limit of the Hausdorff distance for one-parameter families of Wulff shapes constructed by affine perturbations of dual Wulff shapes. (English) Zbl 07137919 Methods Appl. Anal. 25, No. 4, 277-290 (2018). MSC: 47N10 52A30 82D25 PDF BibTeX XML Cite \textit{H. Han} and \textit{T. Nishimura}, Methods Appl. Anal. 25, No. 4, 277--290 (2018; Zbl 07137919) Full Text: DOI
Nour, Chadi; Saoud, Hassan; Takche, Jean Regularization via sets satisfying the interior sphere condition. (English) Zbl 1394.49015 J. Convex Anal. 25, No. 1, 1-19 (2018). Reviewer: Radu Ioan Bot (Wien) MSC: 49J52 49J53 PDF BibTeX XML Cite \textit{C. Nour} et al., J. Convex Anal. 25, No. 1, 1--19 (2018; Zbl 1394.49015) Full Text: Link
Ramm, A. G. Solution to the Pompeiu problem and the related symmetry problem. (English) Zbl 1351.45013 Appl. Math. Lett. 63, 28-33 (2017). MSC: 45Q05 PDF BibTeX XML Cite \textit{A. G. Ramm}, Appl. Math. Lett. 63, 28--33 (2017; Zbl 1351.45013) Full Text: DOI
Li, X. B.; Li, S. J. Hölder continuity of perturbed solution set for convex optimization problems. (English) Zbl 1410.90156 Appl. Math. Comput. 232, 908-918 (2014). MSC: 90C25 90C31 PDF BibTeX XML Cite \textit{X. B. Li} and \textit{S. J. Li}, Appl. Math. Comput. 232, 908--918 (2014; Zbl 1410.90156) Full Text: DOI
Volchkov, Valery V.; Volchkov, Vitaly V. Offbeat integral geometry on symmetric spaces. (English) Zbl 1277.53002 Basel: Birkhäuser (ISBN 978-3-0348-0571-1/hbk; 978-3-0348-0572-8/ebook). x, 592 p. (2013). Reviewer: Szymon M. Walczak (Łódź) MSC: 53-02 53C65 53C35 PDF BibTeX XML Cite \textit{V. V. Volchkov} and \textit{V. V. Volchkov}, Offbeat integral geometry on symmetric spaces. Basel: Birkhäuser (2013; Zbl 1277.53002) Full Text: DOI
Masharov, P. A. Extremal problems about the Pompeiu sets with the spherical boundary. (Russian) Zbl 1249.45023 Tr. Inst. Prikl. Mat. Mekh. 22, 153-161 (2011). Reviewer: Evgeny Sevost’yanov (Donetsk) MSC: 45Q05 PDF BibTeX XML Cite \textit{P. A. Masharov}, Tr. Inst. Prikl. Mat. Mekh. 22, 153--161 (2011; Zbl 1249.45023)
De Blasi, Francesco S.; Hu, Thakyin; Huang, Jui-Chi Generic Tychonov well-posedness in spaces of convex sets. (English) Zbl 1224.41101 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 54(102), No. 1, 29-39 (2011). MSC: 41A65 52A27 PDF BibTeX XML Cite \textit{F. S. De Blasi} et al., Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 54(102), No. 1, 29--39 (2011; Zbl 1224.41101)
Benguria, Rafael; Levitin, Michael; Parnovski, Leonid Fourier transform, null variety, and Laplacian’s eigenvalues. (English) Zbl 1182.35172 J. Funct. Anal. 257, No. 7, 2088-2123 (2009). Reviewer: Chie-Ping Chu (Taipei) MSC: 35P15 42B10 35A22 PDF BibTeX XML Cite \textit{R. Benguria} et al., J. Funct. Anal. 257, No. 7, 2088--2123 (2009; Zbl 1182.35172) Full Text: DOI arXiv
Elets, L. V.; Masharov, P. A. Extreme problems about Pompeiu sets with conic border. (Russian) Zbl 1137.54316 Tr. Inst. Prikl. Mat. Mekh. 13, 65-71 (2006). Reviewer: V. V. Zalyotov (Donetsk) MSC: 54C50 PDF BibTeX XML Cite \textit{L. V. Elets} and \textit{P. A. Masharov}, Tr. Inst. Prikl. Mat. Mekh. 13, 65--71 (2006; Zbl 1137.54316)
Volchkov, V. V.; Volchkov, Vit. V. Extremal problems in integral geometry. (Russian) Zbl 1014.53045 Dorogovtsev, A. Ya. (ed.), Mathematics today. 2001. A scientific-methodical collection. No. 12. Kyïv: Naukovo-Metodyichnyij Tsentr Vyshchoï Osvity, 51-79 (2001). Reviewer: N.A.Denis’evskij (Kyïv) MSC: 53C65 53-02 PDF BibTeX XML Cite \textit{V. V. Volchkov} and \textit{Vit. V. Volchkov}, in: Matematika segodnya. 2001. Nauchno-metodicheskij sborni. Vyp. 12. Kyïv: Naukovo-Metodyichnyij Tsentr Vyshchoï\ Osvity. 51--79 (2001; Zbl 1014.53045)
Rubin, Boris Generalized Minkowski-Funk transforms and small denominators on the sphere. (English) Zbl 1036.42027 Fract. Calc. Appl. Anal. 3, No. 2, 177-203 (2000). MSC: 42C10 11J25 35L05 44A15 52A30 PDF BibTeX XML Cite \textit{B. Rubin}, Fract. Calc. Appl. Anal. 3, No. 2, 177--203 (2000; Zbl 1036.42027)
Gröchenig, Karlheinz; Heil, Christopher; Walnut, David Nonperiodic sampling and the local three squares theorem. (English) Zbl 1012.42003 Ark. Mat. 38, No. 1, 77-92 (2000). Reviewer: Ole Christensen (Lyngby) MSC: 42A65 42C40 42A70 94C10 PDF BibTeX XML Cite \textit{K. Gröchenig} et al., Ark. Mat. 38, No. 1, 77--92 (2000; Zbl 1012.42003) Full Text: DOI
Park, Robert R.; Richardson, Leonard F. Pompeiu sets in compact Heisenberg manifolds. (English) Zbl 0956.43002 J. Fourier Anal. Appl. 6, No. 1, 43-54 (2000). Reviewer: K.Saka (Akita) MSC: 43A46 43A85 22E25 22E27 22E30 PDF BibTeX XML Cite \textit{R. R. Park} and \textit{L. F. Richardson}, J. Fourier Anal. Appl. 6, No. 1, 43--54 (2000; Zbl 0956.43002) Full Text: DOI EuDML
Volchkov, V. V. On functions with zero integrals over parallelepipeds. (English. Russian original) Zbl 1064.26500 Dokl. Math. 60, No. 3, 375-376 (1999); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 369, No. 4, 444-445 (1999). Reviewer: O. Lipovan (MR 2001b:26015) MSC: 26B15 28A99 43A99 PDF BibTeX XML Cite \textit{V. V. Volchkov}, Dokl. Math. 60, No. 3, 444--445 (1999; Zbl 1064.26500); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 369, No. 4, 444--445 (1999)
Volchkov, V. V. Injectivity sets of the Pompeiu transform. (English. Russian original) Zbl 0938.46043 Sb. Math. 190, No. 11, 1607-1622 (1999); translation from Mat. Sb. 190, No. 11, 51-66 (1999). MSC: 46F12 53C65 PDF BibTeX XML Cite \textit{V. V. Volchkov}, Sb. Math. 190, No. 11, 1607--1622 (1999; Zbl 0938.46043); translation from Mat. Sb. 190, No. 11, 51--66 (1999) Full Text: DOI
Cocea, Constantin Generalizations of theorems of Dimitrie Pompeiu. (Romanian) Zbl 0941.51028 Gaz. Mat., Bucur. 102, No. 1, 5-7 (1997). MSC: 51M20 52A10 51M15 PDF BibTeX XML Cite \textit{C. Cocea}, Gaz. Mat., Bucur. 102, No. 1, 5--7 (1997; Zbl 0941.51028)
Bagchi, S. C.; Sitaram, A. The Pompeiu problem revisited. (English) Zbl 0722.43009 Enseign. Math., II. Sér. 36, No. 1-2, 67-91 (1990). Reviewer: K.Sakai (Kagoshima) MSC: 43A80 43A85 43A46 PDF BibTeX XML Cite \textit{S. C. Bagchi} and \textit{A. Sitaram}, Enseign. Math. (2) 36, No. 1--2, 67--91 (1990; Zbl 0722.43009)
De Blasi, F. S.; Myjak, J. Weak convergence of convex sets in Banach spaces. (English) Zbl 0632.46015 Arch. Math. 47, 448-456 (1986). Reviewer: J.V.Whittaker MSC: 46B20 41A50 46A55 46B10 PDF BibTeX XML Cite \textit{F. S. De Blasi} and \textit{J. Myjak}, Arch. Math. 47, 448--456 (1986; Zbl 0632.46015) Full Text: DOI
Zalcman, Lawrence Determining sets for functions and measures. (English) Zbl 0618.28002 Real Anal. Exch. 11(1985/86), 40-55 (1986). MSC: 28A05 42B10 30A99 53C65 60D05 PDF BibTeX XML Cite \textit{L. Zalcman}, Real Anal. Exch. 11, 40--55 (1986; Zbl 0618.28002)
Dinca, Marian In connection with the mathematical note ”Extensions of theorems of Dimitrie Pompeiu”. (Romanian) Zbl 0491.52002 Gaz. Mat., Bucur. 85, 198-199 (1980). MSC: 52A10 51M15 PDF BibTeX XML Cite \textit{M. Dinca}, Gaz. Mat., Bucur. 85, 198--199 (1980; Zbl 0491.52002)
Šalát, T. On Pompeiu functions and functions of the type \(P_1\). (English) Zbl 0415.26005 Rev. Roum. Math. Pures Appl. 24, 1123-1128 (1979). MSC: 26A24 26A21 46E15 46B99 PDF BibTeX XML Cite \textit{T. Šalát}, Rev. Roum. Math. Pures Appl. 24, 1123--1128 (1979; Zbl 0415.26005)