Geodesic
Precise order bounds for the number of components of the complement of the zeros of harmonic polynomials
Funkcionalʹnyj analiz i ego priloženiâ, Tome 19 (1985) no. 4, pp. 55-60 Cet article a éte moissonné depuis la source Math-Net.Ru

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     author = {V. N. Karpushkin},
     title = {Precise order bounds for the number of components of the complement of the zeros of harmonic polynomials},
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     url = {http://geodesic.mathdoc.fr/item/FAA_1985_19_4_a5/}
}
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V. N. Karpushkin. Precise order bounds for the number of components of the complement of the zeros of harmonic polynomials. Funkcionalʹnyj analiz i ego priloženiâ, Tome 19 (1985) no. 4, pp. 55-60. http://geodesic.mathdoc.fr/item/FAA_1985_19_4_a5/

[1] Arnold V.I., “Topologiya deistvitelnykh algebraicheskikh krivykh (raboty I.G. Petrovskogo i ikh razvitie)”, UMN, 28:5 (1973), 260–262

[2] Arnold V.I., “Sovremennoe razvitie rabot I.G. Petrovskogo po topologii veschestvennykh algebraicheskikh mnogoobrazii”, UMN, 32:3 (1977), 215–216

[3] Arnold V.I., “Indeks osoboi tochki vektornogo polya, neravenstva Petrovskogo–Oleinik i smeshannye struktury Khodzha”, Funktsion. analiz i ego pril., 12:1 (1978), 1–14 | MR

[4] Weyl H., “On the volume of tubes”, Amer. J. Math., 61 (1939), 461–472 | DOI | MR | Zbl

[5] Vilenkin H.Ya., Spetsialnye funktsii i teoriya predstavlenii grupp, Nauka, M., 1965 | MR

[6] Viro O.Ya., “Postroenie $M$-mnogoobrazii”, UMN, 34:4 (1979), 160

[7] Viro O.Ya., “Postroenie $M$-poverkhnostei”, Funktsion. analiz i ego pril., 13:3 (1979), 71–72 | MR | Zbl

[8] Galafassi V.E., “Le questioni di realita come sussidio in altri campi d'indagine”, Rend. Seminar Math. a fis., 30, Milano, 1960, 6–16 | DOI | MR | Zbl

[9] Gudkov D.A., “Topologiya veschestvennykh proektivnykh algebraicheskikh mnogoobrazii”, UMN, 29:4 (1974), 3–79 | MR | Zbl

[10] Karpushkin V.N., “Chislo komponent dopolneniya k giperpoverkhnosti urovnya garmonicheskogo polinoma”, Vesti. Mosk. un-ta, ser. 1, 1981, no. 4, 3–4 | MR

[11] Kurant R., Gilbert D., Metody matematicheskoi fiziki, t. 1, IL, M., 1933 | MR

[12] Lewy H., “About the Hessian of a spherical Harmonic”, Amer. J. Math., 91:2 (1969), 505–507 | DOI | MR | Zbl

[13] Milnor L., Osobye tochki kompleksnykh giperpoverkhnostei, Mir, M., 1971 | MR | Zbl

[14] Oleinik O.A., “Otsenka chisel Betti deistvitelnykh algebraicheskikh giperpoverkhnostei”, Matem. sb., 28 (1951), 635–640 | MR

[15] Petrovskii I.G., Oleinik O.A., “O topologii deistvitelnykh algebraicheskikh poverkhnostei”, Izv. AN SSSR, ser. mat., 13 (1949), 389–402 | MR

[16] Segre B., “Questioni di realita suHe forme armoniche e sille loro hessiane”, Rend. Ace. Lincei (8), 15 (1953), 237–242 ; 339–344 | MR | Zbl | MR

[17] Kharlamov V.M., “Obobschennoe neravenstvo Petrovskogo”, Funktsion. analiz i ego pril., 8:2 (1974), 50–56 | MR | Zbl

[18] Kharlamov V.M., “Obobschennoe neravenstvo Petrovskogo. II”, Funktsion. analiz i ego pril., 9:3 (1975), 93–94 | MR | Zbl