Sadullaev, A. S.; Imomkulov, S. A.; Rakhimov, K. Kh. Bounded subharmonic functions possess the Lebesgue property at each point. (English. Russian original) Zbl 1322.31004 Math. Notes 96, No. 5, 992-995 (2014); translation from Mat. Zametki 96, No. 6, 921-925 (2014). Reviewer: Thomas Gauthier (Amiens) MSC: 31A05 28A75 PDF BibTeX XML Cite \textit{A. S. Sadullaev} et al., Math. Notes 96, No. 5, 992--995 (2014; Zbl 1322.31004); translation from Mat. Zametki 96, No. 6, 921--925 (2014) Full Text: DOI
Ochakovskaya, O. A. The Pompeiu property and approximation in \(L^{p}\) by linear combinations of shifts. (English. Russian original) Zbl 1325.46033 Dokl. Math. 89, No. 2, 173-175 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 455, No. 2, 147-149 (2014). Reviewer: George O. Okikiolu (London) MSC: 46E30 28A75 PDF BibTeX XML Cite \textit{O. A. Ochakovskaya}, Dokl. Math. 89, No. 2, 173--175 (2014; Zbl 1325.46033); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 455, No. 2, 147--149 (2014) Full Text: DOI
Ochakovskaya, O. A. Description of Pompeiu sets in terms of approximations of their indicator functions. (English) Zbl 1307.46022 Mat. Stud. 39, No. 2, 142-149 (2013). MSC: 46E30 33C10 26B35 PDF BibTeX XML Cite \textit{O. A. Ochakovskaya}, Mat. Stud. 39, No. 2, 142--149 (2013; Zbl 1307.46022)
Puls, Michael J. The Pompeiu problem and discrete groups. (English) Zbl 1284.43003 Monatsh. Math. 172, No. 3-4, 415-429 (2013). Reviewer: Valery Vladimirovich Volchkov (Donetsk) MSC: 43A15 43A32 43A70 43A80 43A90 PDF BibTeX XML Cite \textit{M. J. Puls}, Monatsh. Math. 172, No. 3--4, 415--429 (2013; Zbl 1284.43003) Full Text: DOI arXiv
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)
Chang, Der-Chen; Eby, Wayne Pompeiu problem on product of Heisenberg groups. (English) Zbl 1227.32003 Complex Anal. Oper. Theory 4, No. 3, 619-683 (2010). MSC: 32A10 32A50 PDF BibTeX XML Cite \textit{D.-C. Chang} and \textit{W. Eby}, Complex Anal. Oper. Theory 4, No. 3, 619--683 (2010; Zbl 1227.32003) Full Text: DOI
Volchkov, V. V.; Volchkov, Vit. V. Sets with the Pompeiu property on the plane and on the sphere. (English. Russian original) Zbl 1200.32002 Math. Notes 87, No. 1, 59-70 (2010); translation from Mat. Zametki 87, No. 1, 69-82 (2010). Reviewer: Igor Andrianov (Köln) MSC: 32A10 PDF BibTeX XML Cite \textit{V. V. Volchkov} and \textit{Vit. V. Volchkov}, Math. Notes 87, No. 1, 59--70 (2010; Zbl 1200.32002); translation from Mat. Zametki 87, No. 1, 69--82 (2010) Full Text: DOI
Chang, Der-Chen; Eby, Wayne Pompeiu problem for sets of higher codimension in Euclidean and Heisenberg settings. (English) Zbl 1173.32001 Taiwanese J. Math. 12, No. 9, 2619-2640 (2008). Reviewer: Polina Z. Agranovich (Khar’kov) MSC: 32A10 32V10 30E99 PDF BibTeX XML Cite \textit{D.-C. Chang} and \textit{W. Eby}, Taiwanese J. Math. 12, No. 9, 2619--2640 (2008; Zbl 1173.32001) Full Text: DOI
Volchkov, V. V.; Volchkov, Vit. V. Convolution equations and the local Pompeiu property on symmetric spaces and on phase space associated to the Heisenberg group. (English) Zbl 1152.43006 J. Anal. Math. 105, 43-123 (2008). Reviewer: Yuri E. Gliklikh (Voronezh) MSC: 43A85 43A80 58-02 PDF BibTeX XML Cite \textit{V. V. Volchkov} and \textit{Vit. V. Volchkov}, J. Anal. Math. 105, 43--123 (2008; Zbl 1152.43006) Full Text: DOI
Ramm, Alexander G. Inverse Problems. Mathematical and analytical techniques with applications to engineering. (English) Zbl 1083.35002 Mathematical and Analytical Techniques with Applications to Engineering. New York, NY: Springer (ISBN 0-387-23195-1/hbk). xx, 442 p. (2005). Reviewer: Alfredo Lorenzi (Milano) MSC: 35-01 35R30 81U40 35P25 78A46 47A52 34L25 31B20 PDF BibTeX XML Cite \textit{A. G. Ramm}, Inverse Problems. Mathematical and analytical techniques with applications to engineering. New York, NY: Springer (2005; Zbl 1083.35002) Full Text: DOI
Volchkov, V. V. Integral geometry and convolution equations. (English) Zbl 1043.53003 Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1628-X/hbk). xii, 454 p. (2003). Reviewer: Nikolai K. Karapetyants (Rostov-na-Donu) MSC: 53-02 53C65 45E10 44A12 PDF BibTeX XML Cite \textit{V. V. Volchkov}, Integral geometry and convolution equations. Dordrecht: Kluwer Academic Publishers (2003; Zbl 1043.53003)
Masharov, P. A. Extreme problems on sets with local Pompeiu property. (Russian. English summary) Zbl 0976.31003 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2001, No. 7, 25-29 (2001). MSC: 31B20 35R30 30E99 PDF BibTeX XML Cite \textit{P. A. Masharov}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2001, No. 7, 25--29 (2001; Zbl 0976.31003)
Ochakovskaya, O. A. A new uniqueness theorem for functions with vanishing integrals over balls of fixed radius. (Russian) Zbl 1049.26004 Tr. Inst. Prikl. Mat. Mekh. 5, 115-121 (2000). Reviewer: V. I. Ryazanov MSC: 26B35 42B35 46E15 PDF BibTeX XML Cite \textit{O. A. Ochakovskaya}, Tr. Inst. Prikl. Mat. Mekh. 5, 115--121 (2000; Zbl 1049.26004)
Armitage, D. H. The Pompeiu property on the sphere. (English) Zbl 0951.31002 N. Z. J. Math. 29, No. 1, 11-18 (2000). Reviewer: S.J.Gardiner (Dublin) MSC: 31B05 33C55 28A25 PDF BibTeX XML Cite \textit{D. H. Armitage}, N. Z. J. Math. 29, No. 1, 11--18 (2000; Zbl 0951.31002)
Volchkov, V. V. Extremal problems on Pompeiu sets. (English. Russian original) Zbl 0957.53042 Sb. Math. 189, No. 7, 955-976 (1997); translation from Mat. Sb. 189, No. 7, 3-22 (1998). Reviewer: C.A.Berenstein (College Park) MSC: 53C65 43A85 26B15 PDF BibTeX XML Cite \textit{V. V. Volchkov}, Sb. Math. 189, No. 7, 955--976 (1998; Zbl 0957.53042); translation from Mat. Sb. 189, No. 7, 3--22 (1998) Full Text: DOI
Chatelain, Thierry A new approach to two overdetermined eigenvalue problems of Pompeiu type. (English) Zbl 0893.35084 ESAIM, Proc. 2, 235-242 (1997). MSC: 35N05 35P05 35J05 PDF BibTeX XML Cite \textit{T. Chatelain}, ESAIM, Proc. 2, 235--242 (1997; Zbl 0893.35084) Full Text: DOI Link
Klinkhammer, John J. On the Pompeiu problem in \(\mathbb{R}^n\). (English) Zbl 0908.46027 Zalcman, Lawrence (ed.), Proceedings of the Ashkelon workshop on complex function theory, Ashkelon, Israel, May 13–16, 1996. Ramat-Gan: Bar-Ilan University, Isr. Math. Conf. Proc. 11, 153-165 (1997). Reviewer: F.H.Vasilescu (Villeneuve d’Ascq) MSC: 46F12 47B38 PDF BibTeX XML Cite \textit{J. J. Klinkhammer}, Isr. Math. Conf. Proc. 11, 153--165 (1997; Zbl 0908.46027)
Berenstein, Carlos; Khavinson, Dmitry Do solid tori have the Pompeiu property? (English) Zbl 0879.31001 Expo. Math. 15, No. 1, 087-093 (1997). Reviewer: V.Isakov (Wichita) MSC: 31A25 35R35 PDF BibTeX XML Cite \textit{C. Berenstein} and \textit{D. Khavinson}, Expo. Math. 15, No. 1, 087--093 (1997; Zbl 0879.31001)
Johnsson, Gunnar The Cauchy problem in \(\mathbb{C}^ N\) for linear second order partial differential equations with data on a quadric surface. (English) Zbl 0806.35003 Trans. Am. Math. Soc. 344, No. 1, 1-48 (1994). MSC: 35A20 35A05 PDF BibTeX XML Cite \textit{G. Johnsson}, Trans. Am. Math. Soc. 344, No. 1, 1--48 (1994; Zbl 0806.35003) Full Text: DOI
Garofalo, Nicola; Segala, Fausto Another step toward the solution of the Pompeiu problem in the plane. (English) Zbl 0818.35136 Commun. Partial Differ. Equations 18, No. 3-4, 491-503 (1993). Reviewer: G.Anger (Berlin) MSC: 35R30 31A25 35P05 42B10 PDF BibTeX XML Cite \textit{N. Garofalo} and \textit{F. Segala}, Commun. Partial Differ. Equations 18, No. 3--4, 491--503 (1993; Zbl 0818.35136) Full Text: DOI
Badertscher, Erich The Pompeiu problem on locally symmetric spaces. (English) Zbl 0777.43006 J. Anal. Math. 57, 250-281 (1991). Reviewer: C.A.Berenstein (College Park) MSC: 43A85 PDF BibTeX XML Cite \textit{E. Badertscher}, J. Anal. Math. 57, 250--281 (1991; Zbl 0777.43006) Full Text: DOI
Bulgakov, A. I. Functional-differential inclusions with nonconvex right-hand side. (English. Russian original) Zbl 0724.34016 Differ. Equations 26, No. 11, 1385-1391 (1990); translation from Differ. Uravn. 26, No. 11, 1872-1878 (1990). Reviewer: G.Sebe (St.Martin d’Heres) MSC: 34A60 34K05 PDF BibTeX XML Cite \textit{A. I. Bulgakov}, Differ. Equations 26, No. 11, 1385--1391 (1990; Zbl 0724.34016); translation from Differ. Uravn. 26, No. 11, 1872--1878 (1990)
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)
Hochreuter, Richard Integraltransformationen vom Radonschen Typ auf der Sphäre. (Integral transforms of Radon type on the sphere). (German) Zbl 0701.44001 Erlangen: Univ., Naturwiss.-Fak., Diss. 60 S. (1989). Reviewer: B.Jöricke MSC: 44A12 PDF BibTeX XML Cite \textit{R. Hochreuter}, Integraltransformationen vom Radonschen Typ auf der Sphäre. (Integral transforms of Radon type on the sphere). Erlangen: Univ., Naturwiss.-Fak. (1989; Zbl 0701.44001)
Williams, Stephen A. Analyticity of the boundary for Lipschitz domains without the Pompeiu property. (English) Zbl 0439.35046 Indiana Univ. Math. J. 30, 357-369 (1981). MSC: 35N99 35J99 PDF BibTeX XML Cite \textit{S. A. Williams}, Indiana Univ. Math. J. 30, 357--369 (1981; Zbl 0439.35046) Full Text: DOI
Berenstein, Carlos Alberto An inverse spectral theorem and its relation to the Pompeiu problem. (English) Zbl 0449.35024 J. Anal. Math. 37, 128-144 (1980). MSC: 35J25 35R30 35N99 35P99 42B99 PDF BibTeX XML Cite \textit{C. A. Berenstein}, J. Anal. Math. 37, 128--144 (1980; Zbl 0449.35024) Full Text: DOI