Akhiezer, Dmitri; Kazarnovskii, Boris Average number of zeros and mixed symplectic volume of Finsler sets. (English) Zbl 1414.52004 Geom. Funct. Anal. 28, No. 6, 1517-1547 (2018). Reviewer: Zdeněk Dušek (Ceske Budejovice) MSC: 52A39 53C30 PDFBibTeX XMLCite \textit{D. Akhiezer} and \textit{B. Kazarnovskii}, Geom. Funct. Anal. 28, No. 6, 1517--1547 (2018; Zbl 1414.52004) Full Text: DOI arXiv
Akhiezer, Dmitri; Kazarnovskii, Boris An estimate for the average number of common zeros of Laplacian eigenfunctions. (English. Russian original) Zbl 1395.53057 Trans. Mosc. Math. Soc. 2017, 123-130 (2017); translation from Tr. Mosk. Mat. O.-va 78, No. 1, 145-154 (2017). MSC: 53C30 58J50 53C21 PDFBibTeX XMLCite \textit{D. Akhiezer} and \textit{B. Kazarnovskii}, Trans. Mosc. Math. Soc. 2017, 123--130 (2017; Zbl 1395.53057); translation from Tr. Mosk. Mat. O.-va 78, No. 1, 145--154 (2017) Full Text: DOI arXiv
Akhiezer, Dmitri; Kazarnovskii, Boris On common zeros of eigenfunctions of the Laplace operator. (English) Zbl 1367.53034 Abh. Math. Semin. Univ. Hamb. 87, No. 1, 105-111 (2017). Reviewer: V. V. Gorbatsevich (Moskva) MSC: 53C21 58J50 58J05 53C30 PDFBibTeX XMLCite \textit{D. Akhiezer} and \textit{B. Kazarnovskii}, Abh. Math. Semin. Univ. Hamb. 87, No. 1, 105--111 (2017; Zbl 1367.53034) Full Text: DOI arXiv
Akhiezer, Dmitri Satake diagrams and real structures on spherical varieties. (English) Zbl 1348.14123 Int. J. Math. 26, No. 12, Article ID 1550103, 13 p. (2015). Reviewer: Dmitri A. Timashev (Moskva) MSC: 14M27 32M10 14M17 PDFBibTeX XMLCite \textit{D. Akhiezer}, Int. J. Math. 26, No. 12, Article ID 1550103, 13 p. (2015; Zbl 1348.14123) Full Text: DOI arXiv
Akhiezer, Dmitri; Cupit-Foutou, Stéphanie On the canonical real structure on wonderful varieties. (English) Zbl 1314.14101 J. Reine Angew. Math. 693, 231-244 (2014). Reviewer: Paolo Bravi (Roma) MSC: 14M27 32M10 PDFBibTeX XMLCite \textit{D. Akhiezer} and \textit{S. Cupit-Foutou}, J. Reine Angew. Math. 693, 231--244 (2014; Zbl 1314.14101) Full Text: DOI arXiv
Akhiezer, Dmitri Real group orbits on flag manifolds. (English) Zbl 1283.14021 Huckleberry, Alan (ed.) et al., Lie groups: structure, actions, and representations. In honor of Joseph A. Wolf on the occasion of his 75th birthday. New York, NY: Birkhäuser/Springer (ISBN 978-1-4614-7192-9/hbk; 978-1-4614-7193-6/ebook). Progress in Mathematics 306, 1-24 (2013). Reviewer: Daniel Guan (Riverside) MSC: 14M17 32M10 14M15 PDFBibTeX XMLCite \textit{D. Akhiezer}, Prog. Math. 306, 1--24 (2013; Zbl 1283.14021) Full Text: DOI arXiv
Akhiezer, Dmitri Stein manifolds and multiplicity-free representations of compact Lie groups. (English) Zbl 1241.32016 Agranovsky, Mark (ed.) et al., Complex analysis and dynamical systems IV. Part 2. General relativity, geometry, and PDE. Proceedings of the 4th conference on complex analysis and dynamical systems, Nahariya, Israel, May 18–22, 2009. Providence, RI: American Mathematical Society (AMS); Ramat Gan: Bar-Ilan University (ISBN 978-0-8218-5197-5/pbk). Contemporary Mathematics 554. Israel Mathematical Conference Proceedings, 1-12 (2011). Reviewer: Eugen Pascu (Montréal) MSC: 32M05 20G05 43A85 32E10 PDFBibTeX XMLCite \textit{D. Akhiezer}, Contemp. Math. 554, 1--12 (2011; Zbl 1241.32016) Full Text: arXiv
Akhiezer, Dmitri Spherical Stein manifolds and the Weyl involution. (English) Zbl 1235.32017 Ann. Inst. Fourier 59, No. 3, 1029-1041 (2009). Reviewer: Eugen Pascu (Montréal) MSC: 32M05 32E10 43A85 PDFBibTeX XMLCite \textit{D. Akhiezer}, Ann. Inst. Fourier 59, No. 3, 1029--1041 (2009; Zbl 1235.32017) Full Text: DOI arXiv Numdam EuDML
Akhiezer, Dmitri; Püttmann, Annett Antiholomorphic involutions of spherical complex spaces. (English) Zbl 1143.32013 Proc. Am. Math. Soc. 136, No. 5, 1649-1657 (2008). Reviewer: Gabriela Paola Ovando (Santa Fé) MSC: 32M05 43A85 PDFBibTeX XMLCite \textit{D. Akhiezer} and \textit{A. Püttmann}, Proc. Am. Math. Soc. 136, No. 5, 1649--1657 (2008; Zbl 1143.32013) Full Text: DOI arXiv
Akhiezer, Dmitri; Panyushev, Dmitri Multiplicities in the branching rules and the complexity of homogeneous spaces. (English) Zbl 1052.14050 Mosc. Math. J. 2, No. 1, 17-33 (2002). Reviewer: Yueh-er Kuo (Knoxville) MSC: 14L30 20G05 14M17 PDFBibTeX XMLCite \textit{D. Akhiezer} and \textit{D. Panyushev}, Mosc. Math. J. 2, No. 1, 17--33 (2002; Zbl 1052.14050)
Akhiezer, D. A remark on averaging operators on homogeneous spaces. (English) Zbl 0993.43006 Arch. Math. 78, No. 3, 196-201 (2002). Reviewer: Salah Mehdi (Stillwater) MSC: 43A85 PDFBibTeX XMLCite \textit{D. Akhiezer}, Arch. Math. 78, No. 3, 196--201 (2002; Zbl 0993.43006) Full Text: DOI
Akhiezer, D. N.; Vinberg, E. B. Weakly symmetric spaces and spherical varieties. (English) Zbl 0916.53024 Transform. Groups 4, No. 1, 3-24 (1999). Reviewer: L.Vanhecke (Leuven) MSC: 53C30 53C25 PDFBibTeX XMLCite \textit{D. N. Akhiezer} and \textit{E. B. Vinberg}, Transform. Groups 4, No. 1, 3--24 (1999; Zbl 0916.53024) Full Text: DOI
Akhiezer, Dmitri Group actions on the Dolbeault cohomology of homogeneous manifolds. (English) Zbl 0891.32007 Math. Z. 226, No. 4, 607-621 (1997). Reviewer: D.Akhiezer (Moskva) MSC: 32C35 22E65 58B25 PDFBibTeX XMLCite \textit{D. Akhiezer}, Math. Z. 226, No. 4, 607--621 (1997; Zbl 0891.32007) Full Text: DOI
Akhiezer, Dmitri On the representations of Lie groups in the Dolbeault cohomology spaces. (Sur les représentations de groupes de Lie dans les espaces de cohomologie de Dolbeault.) (French) Zbl 0857.57039 C. R. Acad. Sci., Paris, Sér. I 321, No. 12, 1583-1586 (1995). MSC: 57T15 55N30 PDFBibTeX XMLCite \textit{D. Akhiezer}, C. R. Acad. Sci., Paris, Sér. I 321, No. 12, 1583--1586 (1995; Zbl 0857.57039)
Akhiezer, Dmitri N. Lie group actions in complex analysis. (English) Zbl 0845.22001 Aspects of Mathematics. E27. Braunschweig: Vieweg. vii, 201 p. (1995). Reviewer: A.A.Bogush (Minsk) MSC: 22-01 32-01 14-01 53-01 PDFBibTeX XMLCite \textit{D. N. Akhiezer}, Lie group actions in complex analysis. Braunschweig: Vieweg (1995; Zbl 0845.22001)
Akhiezer, D. N.; Gilligan, B. On complex homogeneous spaces with top homology in codimension two. (English) Zbl 0812.32013 Can. J. Math. 46, No. 5, 897-919 (1994). Reviewer: D.M.Snow (Notre Dame) MSC: 32M10 32E10 32M05 PDFBibTeX XMLCite \textit{D. N. Akhiezer} and \textit{B. Gilligan}, Can. J. Math. 46, No. 5, 897--919 (1994; Zbl 0812.32013) Full Text: DOI
Akhiezer, Dmitri On Lie algebra decompositions, related to spherical homogeneous spaces. (English) Zbl 0797.17002 Manuscr. Math. 80, No. 1, 81-88 (1993). Reviewer: F.Pauer (Innsbruck) MSC: 17B05 22E60 32M05 PDFBibTeX XMLCite \textit{D. Akhiezer}, Manuscr. Math. 80, No. 1, 81--88 (1993; Zbl 0797.17002) Full Text: DOI EuDML
Akhiezer, D. N. Equivariant complex extensions of homogeneous spaces. (English. Russian original) Zbl 0807.32023 Math. Notes 51, No. 6, 535-539 (1992); translation from Mat. Zametki 51, No. 6, 3-9 (1992). MSC: 32M10 32C05 PDFBibTeX XMLCite \textit{D. N. Akhiezer}, Math. Notes 51, No. 6, 1 (1992; Zbl 0807.32023); translation from Mat. Zametki 51, No. 6, 3--9 (1992) Full Text: DOI
Akhiezer, D. N. On homogeneity of two-orbit varieties with respect to the full group of automorphisms. (Russian) Zbl 0698.14054 Vopr. Teor. Grupp Gomologicheskoĭ Algebry 8, 141-154 (1988). Reviewer: Nikolai I. Osetinski (Moskva) MSC: 14L30 14M17 PDFBibTeX XML
Akhiezer, D. N. On the notion of the rank of a spherical homogeneous space. (Russian) Zbl 0663.22007 Usp. Mat. Nauk 43, No. 5(263), 175-176 (1988). Reviewer: M.G.Zajdenberg MSC: 22E30 20G20 14M17 14L30 57S20 PDFBibTeX XMLCite \textit{D. N. Akhiezer}, Usp. Mat. Nauk 43, No. 5(263), 175--176 (1988; Zbl 0663.22007)
Akhiezer, D. N. On the concept of the rank of a spherical homogeneous space. (English. Russian original) Zbl 0797.22002 Russ. Math. Surv. 43, No. 5, 205-206 (1988); translation from Usp. Mat. Nauk 43, No. 5(263), 175-176 (1988). MSC: 22E30 20G20 14M17 14L30 57S20 PDFBibTeX XMLCite \textit{D. N. Akhiezer}, Russ. Math. Surv. 43, No. 5, 205--206 (1988; Zbl 0797.22002); translation from Usp. Mat. Nauk 43, No. 5(263), 175--176 (1988) Full Text: DOI
Akhiezer, D. N. Algebraic groups transitive in the complement of a homogeneous hypersurface. (English. Russian original) Zbl 0615.14027 Trans. Mosc. Math. Soc. 1986, 83-103 (1986); translation from Tr. Mosk. Mat. O.-va 48, 77-96 (1985). Reviewer: V.F.Ignatenko MSC: 14L30 14M17 PDFBibTeX XMLCite \textit{D. N. Akhiezer}, Trans. Mosc. Math. Soc. 1986, 83--103 (1986; Zbl 0615.14027); translation from Tr. Mosk. Mat. O.-va 48, 77--96 (1985)
Akhiezer, D. N. Homogeneous complex manifolds. (English. Russian original) Zbl 0781.32031 Several complex variables. IV. Algebraic aspects of complex analysis, Encycl. Math. Sci. 10, 195-244 (1990); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 10, 223-275 (1986). MSC: 32M10 32M15 32M05 22E10 53C55 PDFBibTeX XMLCite \textit{D. N. Akhiezer}, Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya None, 223--275 (1986; Zbl 0781.32031); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 10, 223--275 (1986)
Akhiezer, D. N. Cancellation problem for compact complex varieties. (English) Zbl 0595.32038 Sib. Math. J. 26, 792-798 (1985). MSC: 32J25 32J99 32M05 32M10 14J15 PDFBibTeX XMLCite \textit{D. N. Akhiezer}, Sib. Math. J. 26, 792--798 (1985; Zbl 0595.32038) Full Text: DOI
Akhiezer, D. N. On the cancellation problem for compact complex manifolds. (Russian) Zbl 0584.32050 Sib. Mat. Zh. 26, No. 6(154), 15-23 (1985). Reviewer: K.Dabrowski MSC: 32J25 32J99 32M05 32M10 14J15 PDFBibTeX XMLCite \textit{D. N. Akhiezer}, Sib. Mat. Zh. 26, No. 6(154), 15--23 (1985; Zbl 0584.32050) Full Text: EuDML
Akhiezer, D. N. Actions with a finite number of orbits. (English. Russian original) Zbl 0576.14045 Funct. Anal. Appl. 19, 1-4 (1985); translation from Funkts. Anal. Prilozh. 19, No. 1, 1-5 (1985). MSC: 14L30 14M17 20G05 20G20 PDFBibTeX XMLCite \textit{D. N. Akhiezer}, Funct. Anal. Appl. 19, 1--4 (1985; Zbl 0576.14045); translation from Funkts. Anal. Prilozh. 19, No. 1, 1--5 (1985) Full Text: DOI
Akhiezer, D. N. On algebraic varieties that are symmetric in the sense of Borel. (English. Russian original) Zbl 0589.32052 Sov. Math., Dokl. 30, 579-582 (1984); translation from Dokl. Akad. Nauk SSSR 279, 13-16 (1984). Reviewer: K.Oeljeklaus MSC: 32M10 32M15 32M05 14M17 22E46 PDFBibTeX XMLCite \textit{D. N. Akhiezer}, Sov. Math., Dokl. 30, 579--582 (1984; Zbl 0589.32052); translation from Dokl. Akad. Nauk SSSR 279, 13--16 (1984)
Akhiezer, D. N. Complex \(n\)-dimensional homogeneous spaces homotopically equivalent to (2n- 2)-dimensional compact manifolds. (English) Zbl 0543.57029 Sel. Math. Sov. 3, 285-290 (1984). MSC: 57T20 55P10 20G20 57S15 22E10 53C30 PDFBibTeX XMLCite \textit{D. N. Akhiezer}, Sel. Math. Sov. 3, 285--290 (1984; Zbl 0543.57029)
Akhiezer, D. N. An estimate of the dimension of the automorphism group of a compact complex homogeneous space. (Russian. English summary) Zbl 0579.32049 Soobshch. Akad. Nauk Gruz. SSR 110, 469-472 (1983). MSC: 32M05 32M10 53C30 32J15 57S99 PDFBibTeX XMLCite \textit{D. N. Akhiezer}, Soobshch. Akad. Nauk Gruz. SSR 110, 469--472 (1983; Zbl 0579.32049)
Akhiezer, D. N. Equivariant completions of homogeneous algebraic varieties by homogeneous divisors. (English) Zbl 0537.14033 Ann. Global Anal. Geom. 1, No. 1, 49-78 (1983). Reviewer: A.Buium MSC: 14M17 14L30 14J10 14C20 PDFBibTeX XMLCite \textit{D. N. Akhiezer}, Ann. Global Anal. Geom. 1, No. 1, 49--78 (1983; Zbl 0537.14033) Full Text: DOI
Akhiezer, D. N. Complex \(n\)-dimensional homogeneous spaces which are homotopy equivalent to \((2n-2)\)-dimensional compact manifolds. (Russian) Zbl 0492.57017 Geom. Metody Zadachakh Algebry Anal. 1981, 21-27 (1981). MSC: 57T20 20G20 22E10 57S15 55P10 PDFBibTeX XML
Akhiezer, D. N. Algebraic groups acting transitively in the complement of a homogeneous hypersurface. (English. Russian original) Zbl 0437.14027 Sov. Math., Dokl. 20, 278-281 (1979); translation from Dokl. Akad. Nauk SSSR 245, 281-284 (1979). MSC: 14L30 14M17 PDFBibTeX XMLCite \textit{D. N. Akhiezer}, Sov. Math., Dokl. 20, 278--281 (1979; Zbl 0437.14027); translation from Dokl. Akad. Nauk SSSR 245, 281--284 (1979)
Akhiezer, D. N. On the homotopy classification of complex homogeneous spaces. (English) Zbl 0409.57043 Trans. Mosc. Math. Soc. 35, 1-19 (1979). MSC: 57T20 57S15 57S25 PDFBibTeX XMLCite \textit{D. N. Akhiezer}, Trans. Mosc. Math. Soc. 35, 1--19 (1979; Zbl 0409.57043)
Akhiezer, D. N. Irreduzible Wurzelsysteme und unzerlegbare homogene Räume. (Russian) Zbl 0469.53044 Teor. Funkts. Funkts. Anal. Prilozh. 27, 22-26 (1977). MSC: 53C30 57T15 17B20 22E10 PDFBibTeX XMLCite \textit{D. N. Akhiezer}, Teor. Funkts. Funkts. Anal. Prilozh. 27, 22--26 (1977; Zbl 0469.53044)
Akhiezer, D. N. Über die homotopische Klassifikation komplexer homogener Räume. (Russian) Zbl 0406.57028 Tr. Mosk. Mat. Obshch. 35, 3-20 (1976). MSC: 57T20 32M10 53C55 PDFBibTeX XMLCite \textit{D. N. Akhiezer}, Tr. Mosk. Mat. O.-va 35, 3--20 (1976; Zbl 0406.57028)
Akhiezer, D. N. Compact complex homogeneous spaces with solvable fundamental group. (English. Russian original) Zbl 0309.22008 Math. USSR, Izv. 8(1974), 61-83 (1975); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 38, 59-80 (1974). MSC: 22E10 57T20 32M10 57S20 PDFBibTeX XMLCite \textit{D. N. Akhiezer}, Math. USSR, Izv. 8, 61--83 (1975; Zbl 0309.22008); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 38, 59--80 (1974) Full Text: DOI
Akhiezer, D. N. Komplexe homogene Strukturen auf einigen kompakten Mannigfaltigkeiten. (Russian) Zbl 0289.22009 Usp. Mat. Nauk 28, No. 5(173), 229-230 (1973). MSC: 22E10 32M10 57T99 PDFBibTeX XMLCite \textit{D. N. Akhiezer}, Usp. Mat. Nauk 28, No. 5(173), 229--230 (1973; Zbl 0289.22009)
Akhiezer, D. N. Komplexe kompakte homogene Räume mit auflösbarer Fundamentalgruppe. (Russian) Zbl 0289.22008 Usp. Mat. Nauk 28, No. 3(171), 167-168 (1973). MSC: 22E10 32M10 57S15 57T20 PDFBibTeX XMLCite \textit{D. N. Akhiezer}, Usp. Mat. Nauk 28, No. 3(171), 167--168 (1973; Zbl 0289.22008)
Akhiezer, D. N. On the cohomology of compact complex homogeneous spaces. II. (English) Zbl 0251.32011 Math. USSR, Sb. 16(1972), 607-614 (1973). MSC: 32L10 57T15 14F05 32M99 PDFBibTeX XMLCite \textit{D. N. Akhiezer}, Math. USSR, Sb. 16, 607--614 (1973; Zbl 0251.32011) Full Text: DOI
Akhiezer, D. N. On the cohomology of compact complex homogeneous spaces. II. (Russian) Zbl 0235.32015 Mat. Sb., N. Ser. 87(129), 587-93 (1972). MSC: 57T15 14F05 32Q99 32M99 PDFBibTeX XMLCite \textit{D. N. Akhiezer}, Mat. Sb., Nov. Ser. 87(129), 587--93 (1972; Zbl 0235.32015) Full Text: EuDML
Akhiezer, D. N. Cohomology of compact complex homogeneous spaces. (English) Zbl 0238.57023 Math. USSR, Sb. 13, 285-296 (1971). MSC: 57T15 PDFBibTeX XMLCite \textit{D. N. Akhiezer}, Math. USSR, Sb. 13, 285--296 (1971; Zbl 0238.57023) Full Text: DOI
Akhiezer, D. N. On the cohomology of compact complex homogeneous spaces. (Russian) Zbl 0207.21904 Mat. Sb., N. Ser. 84(126), 290-300 (1971). Reviewer: I. Vaisman MSC: 57T15 PDFBibTeX XMLCite \textit{D. N. Akhiezer}, Mat. Sb., Nov. Ser. 84(126), 290--300 (1971; Zbl 0207.21904)