T. Tonev
-
PUBLICATIONS Reviewed in the Math Reviews )
[1] MR2097955 Grigoryan, Suren A. ; Tonev, Thomas V. Shift-invariant algebras on groups.
Banach algebras and their applications,
111--127, Contemp. Math., 363, Amer. Math. Soc., Providence, RI, 2004. 46J10 (30H05 43-XX 46J15)
[2] MR1990410 (2004f:46061) Tonev, Thomas ; Grigoryan, S. A. Analytic functions on compact groups and their applications to almost periodic functions.
Function spaces (Edwardsville, IL, 2002),
299--322, Contemp. Math., 328, Amer. Math. Soc., Providence, RI, 2003. (Reviewer: Adolf R. Mirotin) 46J15 (30H05 43A60)
[3] MR1939299 (2003k:46073) Grigoryan, S. A. ; Pankrateva, T. N. ; Tonev, T. V. The validity range of two complex analysis theorems.
Complex Var. Theory Appl. 47 (2002), no. 12, 1085--1095. (Reviewer: E. A. Gorin) 46J15 (30B40 30G35 30H05)
[4] MR1884107 (2003d:43013) Grigoryan, S. ; Tonev, T. Linear multiplicative functionals of algebras of $S$-analytic functions on groups.
Lobachevskii J. Math. 9 (2001), 29--35 (electronic). (Reviewer: Krzysztof Jarosz) 43A60 (46J15)
[5] MR1873124 (2002m:46081) Grigoryan, S. A. ; Tonev, T. V. Blaschke inductive limits of uniform algebras.
Int. J. Math. Math. Sci. 27 (2001), no. 10, 599--620. (Reviewer: Mary Lilian Lourenço) 46J15 (46A13 46J10 46M40)
[6] MR1855084 (2002g:43004) Grigoryan, S. A. ; Pankrateva, T. N. ; Tonev, T. V. Inner automorphisms of shift-invariant algebras on compact groups.
J. Contemp. Math. Anal. 34 (1999), no. 5, 57--62 (2000); translated from Izv. Nats. Akad. Nauk Armenii Mat. 34 (1999), no. 5, 57--62 (2001)(Russian) (Reviewer: Gilles Godefroy) 43A22
[7] MR1678345 (2000k:46073) Tonev, T. Bourgain algebras and inductive limit algebras.
Function spaces (Edwardsville, IL, 1998),
339--344, Contemp. Math., 232, Amer. Math. Soc., Providence, RI, 1999. (Reviewer: Carroll Guillory) 46J15
[8] MR1460412 (99c:47050) Jafari, F. ; Tonev, T. ; Toneva, E. ; Yale, K. Holomorphic flows, cocycles, and coboundaries.
Michigan Math. J. 44 (1997), no. 2, 239--253. (Reviewer: Wayne Stewart Smith) 47D03 (47B38)
[9] MR1437393 (98b:46069) Arizmendi, H. ; Tonev, T. Bourgain algebras of topological algebras.
Symposium Dedicated to the Memory of \Dbar uro Kurepa (Belgrade, 1996).
Sci. Rev. Ser. Sci. Eng. No. 19-20 (1996), 115--118. (Reviewer: Carroll Guillory) 46J05 (54H13)
[10] MR1399373 (97i:47051) Tonev, T. ; Yale, K. Hankel type operators, Bourgain algebras, and isometries.
Recent developments in operator theory and its applications (Winnipeg, MB, 1994),
413--418, Oper. Theory Adv. Appl., 87, Birkhäuser, Basel, 1996. (Reviewer: V. V. Peller) 47B37 (32A99 46J15)
[11] MR1357629 (96k:46093) Grigoryan, S. A. ; Tonev, T. V. Inductive limits of algebras of generalized analytic functions.
Michigan Math. J. 42 (1995), no. 3, 613--619. (Reviewer: Krzysztof Jarosz) 46J15 (30H05 46E10)
[12] MR1191004 (93i:46088) Tonev, Toma V. Analytic $\Gamma$-almost-periodic structures in algebra spectra.
The Madison Symposium on Complex Analysis (Madison, WI, 1991),
445--458, Contemp. Math., 137, Amer. Math. Soc., Providence, RI, 1992. (Reviewer: Krzysztof Jarosz) 46J10 (46J15)
[13] MR1157372 (93h:46065) Tonev, Toma V. Big-planes, boundaries and function algebras.
North-Holland Mathematics Studies, 172. North-Holland Publishing Co., Amsterdam, 1992. xviii+294 pp. ISBN: 0-444-89237-0 (Reviewer: Donna Kumagai) 46Jxx (32E20)
[14] MR1152364 (93d:46041) Tonev, Toma V. Multi-tuple boundaries of Shilov type for function spaces.
Function spaces (Edwardsville, IL, 1990),
405--412, Lecture Notes in Pure and Appl. Math., 136, Dekker, New York, 1992. (Reviewer: Donna Kumagai) 46E10 (46J10)
[15] MR1132394 (92k:46087) Tonev, Toma V. Multi-tuple hulls.
Pacific J. Math. 151 (1991), no. 2, 335--349. (Reviewer: Jan Janas) 46J20 (32E99 46J10)
[16] MR1128570 (92j:32043) Tonev, T. Multi-dimensional analytic structures and uniform algebras.
Several complex variables and complex geometry, Part 2 (Santa Cruz, CA, 1989),
557--561, Proc. Sympos. Pure Math., 52, Part 2, Amer. Math. Soc., Providence, RI, 1991. (Reviewer: Jan Janas) 32E20 (46J20)
[17] MR1107191 (92k:46086) Tonev, Toma V. Analytic manifolds in uniform algebras.
Houston J. Math. 17 (1991), no. 1, 101--108. (Reviewer: Håkan Hedenmalm) 46J15 (46J20)
[18] MR1057962 (92b:46084) Tonev, Toma V. Multi-tuple Shilov boundaries of algebra tensor products.
Proc. Amer. Math. Soc. 113 (1991), no. 3, 749--753. (Reviewer: Donna Kumagai) 46J20 (46M05)
[19] MR1146729 (93b:46097) Tonev, Toma V. General complex analytic structures in uniform algebra spectra---a survey.
Functional analytic methods in complex analysis and applications to partial differential equations (Trieste, 1988),
265--286, World Sci. Publishing, River Edge, NJ, 1990. (Reviewer: H. G. Dales) 46Jxx
[20] MR1117478 Tonev, T. On the $\Gamma$-entire functions.
Ramanujan International Symposium on Analysis (Pune, 1987),
323--333, Macmillan of India, New Delhi, 1989. 30G30 (43A17 46J15)
[21] MR1002841 (91d:43007) Tonev, Toma A Bochner type theorem for compact groups.
Hokkaido Math. J. 18 (1989), no. 2, 181--186. (Reviewer: K. Yale) 43A17
[22] MR1044380 (91e:46069) Tonev, Toma V. Infinitely generated maximal ideals in uniform algebras and generalized-analytic sets.
Third International Symposium on Complex Analysis and Applications (Hercegnovi, 1988).
Mat. Vesnik 40 (1988), no. 3-4, 343--348. (Reviewer: Jaroslav Zemánek) 46J10 (46J20)
[23] MR0947957 (89f:46020) Tonev, Toma Minimal affine boundaries of convex sets.
Tokyo J. Math. 11 (1988), no. 1, 233--239. (Reviewer: Jacques F. Bair) 46A55 (52A07)
[24] MR0922339 (89i:46062) Tonev, T. V. New relations between Sibony-Basener boundaries.
Complex analysis, III (College Park, Md., 1985--86),
256--262, Lecture Notes in Math., 1277, Springer, Berlin, 1987. (Reviewer: Joaquín Ma. Ortega Aramburu) 46J20 (32E25)
[25] MR0922338 (89i:46061) Tonev, Toma V. An infinite-dimensional generalization of the Shilov boundary and infinite-dimensional analytic structures in the spectrum of a uniform algebra.
Complex analysis, III (College Park, Md., 1985--86),
242--255, Lecture Notes in Math., 1277, Springer, Berlin, 1987. (Reviewer: Joaquín Ma. Ortega Aramburu) 46J20 (32E25 46G20)
[26] MR0880346 (88a:43008) Tonev, Toma V. Errata and supplements: "Positive-definite functions on discrete commutative semigroups" [Semigroup Forum 17 (1979), no. 2, 175--183; MR0527218 (80h:43009) ].
Semigroup Forum 34 (1987), no. 3, 371--372. 43A35
[27] MR0914577 Tonev, Toma V. Minimal boundaries of commutative Banach algebras containing the Shilov boundary.
Complex analysis and applications '85 (Varna, 1985),
712--714, Publ. House Bulgar. Acad. Sci., Sofia, 1986. 46J20
[28] MR0914552 Nisheva, M. N. ; Tonev, T. V. A system for continued fractions manipulation.
Complex analysis and applications '85 (Varna, 1985),
482--488, Publ. House Bulgar. Acad. Sci., Sofia, 1986. 68Q40 (65D15)
[29] MR0914497 (88h:00002) Publishing House of the Bulgarian Academy of Sciences, Sofia, 1986. 796 pp. 00A11 (30-06 32-06)
[30] MR0837645 (87h:46113) Tonev, Toma V. Generalized-analytic coverings in the spectrum of a uniform algebra.
Z. Anal. Anwendungen 5 (1986), no. 2, 179--184. (Reviewer: P. J. de Paepe) 46J10 (46J20)
[31] MR0817947 (87c:46062) Tonev, Toma V. Generalized-analytic sets in a Gleason part.
Serdica 11 (1985), no. 2, 135--143. (Reviewer: Krzysztof Jarosz) 46J10
[32] MR0814525 (87d:46055) Tonev, Toma V. Some applications of perturbation theory for pairs of closed linear subspaces.
Complex analysis and applications (Varna, 1983),
218--233, Publ. House Bulgar. Acad. Sci., Sofia, 1985. (Reviewer: Krzysztof Jarosz) 46J10 (47A55)
[33] MR0801648 (86j:30002) Zaltsman, L. Modern perspectives on classical function theory.
(Bulgarian) Translated from the English by V. Khadzhi\u\i ski and T. Tonev.
Fiz.-Mat. Spis. B\cdprime lgar. Akad. Nauk. 27(60) (1985), no. 1, 48--64. 30-02
[34] MR0883273 Tonev, Toma V. Uniform algebras of generalized analytic functions.
Complex analysis and applications '81 (Varna, 1981),
497--500, Publ. House Bulgar. Acad. Sci., Sofia, 1984. 32E25 (46J15)
[35] MR0751077 (86h:46084) Tonev, T. V. The Banach algebra of bounded hyperanalytic functions on the big disc.
Functions, series, operators, Vol. I, II (Budapest, 1980),
1189--1194, Colloq. Math. Soc. János Bolyai, 35, North-Holland, Amsterdam, 1983. (Reviewer: T. P. Srinivasan) 46J15
[36] MR0739363 (86a:46060) Tonev, Toma V. Generalized-analytic coverings in the maximal ideal space.
Analytic functions, B\l a\.zejewko 1982 (B\l a\.zejewko, 1982),
436--442, Lecture Notes in Math., 1039, Springer, Berlin, 1983. (Reviewer: Takahiko Nakazi) 46J10 (30G30 43A17)
[37] MR0738118 (86h:46082) Tonev, Toma V. Commutative Banach algebras and analytic functions of countable-many variables.
Complex analysis---fifth Romanian-Finnish seminar, Part 2 (Bucharest, 1981),
122--128, Lecture Notes in Math., 1014, Springer, Berlin, 1983. (Reviewer: S. Dineen) 46J05 (32K99 46G20)
[38] MR0738311 (85k:30073) Tonev, Toma V. Algebras of generalized analytic functions.
Spectral theory (Warsaw, 1977),
467--470, Banach Center Publ., 8, PWN, Warsaw, 1982. 30G35 (30H05 46J15)
[39] MR0694961 (85g:30084) Tonev, Toma V. A generalized-analytic variant of the Dolzhenko uniqueness boundary theorem for analytic functions.
(Russian) Serdica 8 (1982), no. 4, 386--390 (1983). (Reviewer: A. G. Dzhvarshe\u\i shvili) 30G30 (43A17)
[40] MR0639641 (83d:30057) Tonev, T. V. Generalized-analytic functions---recent results.
C. R. Acad. Bulgare Sci. 34 (1981), no. 8, 1061--1064. (Reviewer: Wolfgang Tutschke) 30G35 (46J99)
[41] MR0644082 (83b:30050) Tonev, Toma V. Some results of classical type about generalized analytic functions.
PLISKA Stud. Math. Bulgar. 4 (1981), 3--9. (Reviewer: M. O. Gonzalez) 30G30 (46J10)
[42] MR0855126 (88e:30088) Kanatnikov, Anatoli\u\i N. ; Tonev, Toma V. Radial boundary values of analytic and generalized-analytic functions.
(Russian) Annuaire Univ. Sofia Fac. Math. Méc. 74 (1980), 127--136 (1986). 30D40 (30D50)
[43] MR0712502 (84j:54028) Gordon, A. Ya. ; Gorin, E. A. ; Lin, V. Ya. ; Tonev, T. V. Topological similarity of semilinear homeomorphisms.
(Russian) Studies in the theory of functions of several variables,
63--83, Yaroslav. Gos. Univ., Yaroslavl\cprime, 1980. 54H15
[44] MR0574653 (82h:30053) Tonev, T. V. ; Stankov, D. K. Singular points of generalized analytic functions.
(Russian) C. R. Acad. Bulgare Sci. 33 (1980), no. 1, 23--24. (Reviewer: R. N. Abdulaev) 30G30
[45] MR0574654 (81j:46080) Grigorjan, S. A. ; Tonev, T. V. A characterization of the algebra of generalized analytic functions.
(Russian) C. R. Acad. Bulgare Sci. 33 (1980), no. 1, 25--26. (Reviewer: Jaroslav Zemánek) 46J10
[46] MR0577475 (81h:46058) Tonev, Toma V. The algebra of bounded hyperanalytic functions on the big disc has no corona.
Analytic functions, Kozubnik 1979 (Proc. Seventh Conf., Kozubnik, 1979),
pp. 435--438, Lecture Notes in Math., 798, Springer, Berlin, 1980. (Reviewer: R. Arens) 46J15 (30H05)
[47] MR0547352 (82m:46059) Tonev, T. W. Linear connected sets of matrices with Banach algebra elements.
Generalized functions and operational calculus (Proc. Conf., Varna, 1975),
pp. 211--216, Bulgar. Acad. Sci., Sofia, 1979. (Reviewer: A. Verona) 46J99 (32E25 55Q52 55Q55)
[48] MR0527218 (80h:43009) Tonev, Toma W. Positive-definite functions on discrete commutative semigroups.
Semigroup Forum 17 (1979), no. 2, 175--183. (Reviewer: James Stewart) 43A35
[49] MR0894792 (88d:30056) Tonev, Toma Some properties of generalized analytic functions.
(Russian) Annuaire Univ. Sofia Fac. Math. Méc. 72 (1978), 165--171 (1986). 30G30 (30H05)
[50] MR0522542 (80d:43006) Lambov, D. L. ; Tonev, T. V. Some function-algebraic properties of the algebra of generalized analytic functions.
(Russian) C. R. Acad. Bulgare Sci. 31 (1978), no. 7, 803--806. (Reviewer: T. W. Gamelin) 43A25 (46J10)
[51] MR0522541 (80d:46102) Tonev, T. V. Generalized analytic structure in the spectrum of a uniform algebra.
C. R. Acad. Bulgare Sci. 31 (1978), no. 7, 799--802. (Reviewer: R. B. Burckel) 46J20
[52] MR0574623 Tonev, Toma V. A homotopy classification of some classes of continuous mappings determined on semigroups.
(Bulgarian) Mathematics and mathematical education (Proc. Third Spring Conf. Bular. Math. Soc., Burgas, 1974) (Bulgarian),
pp. 276--281, B\cdprime lgar. Akad. Nauk, Sofia, 1976. 46H99 (46M20 47D05)
[53] MR0428067 (55 #1096) Tonev, Toma V. Cohomotopy groups $\pi \sp{n,n-1}$ of the space of maximal ideals.
(Russian) Serdica 2 (1976), no. 2, 143--148. (Reviewer: L. Longdon) 46M20 (46J20)
[54] MR0649312 (83c:54056) Tonev, Toma V. A theorem from topological dynamics.
(Bulgarian) Annuaire Univ. Sofia Fac. Math. Méc. 70 (1975/76), 261--265 (1981). 54H15
[55] MR0409715 (53 #13467) Tonev, T. V. Canonical decomposition of semigroup mappings in an algebra.
(Russian) C. R. Acad. Bulgare Sci. 28 (1975), no. 3, 291--294. (Reviewer: B. R. Gelbaum) 22A99 (46J10)
[56] MR0410708 (53 #14455) Tonev, T. V. Algebraic similarities of dynamical homeomorphisms with compact time.
(Russian) Papers presented at the Fifth Balkan Mathematical Congress (Belgrade, 1974),
Math. Balkanica 4 (1974), 609--616. (Reviewer: Helmut Ludescher) 54H15
[57] MR0394612 (52 #15413) Tonev, T. V. Algebraic similarities of homeomorphisms of abstract dynamical systems.
(Russian) Uspehi Mat. Nauk 29 (1974), no. 1(175), 191--192. (Reviewer: Helmut Ludescher) 54H15
[58] MR0515146 (58 #24216) Tonev, Toma V. Orbit-preserving homeomorphisms of abstract dynamical systems.
(Russian) Annuaire Univ. Sofia Fac. Math. Méc. 68 (1973/74), 217--225 (1977). (Reviewer: N. G. Markley) 54H15
[59] MR0328479 (48 #6821) Tonev, T. V. The Bohr-van Kampen theorem on semigroups.
(Russian) Teor. Funkci\u\i Funkcional. Anal. i Prilo\v zen. No. 17 (1973), 163--169, 245. (Reviewer: Edwin Hewitt) 43A60 (22A20)
OTHER PUBLICATIONS
[58] F. Jafari, E. Toneva, T. Tonev,
K. Yale,
Holomorphic flows, cocycles and coboundaries, Proc. of the Big Sky
Conf. in Analysis,
40-60, University of Montana, Missoula, 1995.
[59] S. Grigoryan, T. Tonev,
On some algebras of generalized analytic functions, Proc. of the
Big Sky Conf. in Analysis,
33-39, University of Montana, Missoula, 1995.
[60] T. Tonev,
Analytic structures in the uniform algebra spectra, Proc. of the
Big Sky Symp. in Analysis,
14 p., Eastern Montana College, Billings, 1993.
[61] T. Tonev, K. Yale,
Bourgain algebras, finite dimensional spaces and Schur spaces,
Proc. of the Big Sky Symp. in Analysis,
6 p., Eastern Montana College, Billings, 1993.
[62] V. Tomov, M. Nisheva, T. Tonev,
Computer algebra system for continued fractions manipulation.
Lect. Notes in Computer Sci., v. 378,
52-53, Springer Verlag, 1989.
[63] T. Tonev
Minimal boundaries of commutative Banach algebras connected
with Banach spaces. Semesterbericht Funktionalanalysis,
Tuebingen, Bd. 8, 175-186, Springer Verlag, 1985.
[64] T. Tonev,
Generalized-analytic sets in the parts of maximal ideal
space. Constructive Theory of Functions - Varna'84,
858-864 , Sofia, 1984.
[65] T. Tonev, E. Ljubenova,
On the continued fractions of functions. (Bulgarian) Matematika,
v. 9, Sofia, 1984.
[66] T. Tonev, E. Ljubenova,
On the history of continued fractions. (Bulgarian) Matematika,
v. 1, Sofia, 1984.
[67] T. Tonev,
A method for proving identities between sets. (Bulgarian)
Matematika, v. 1, 23-25, Sofia, 1979.
[68] T. Tonev,
Infinite-dimensional sets in the maximal ideal space. (Bulgarian)
Math. and Math. Educ, v. VII, 510-514, Sofia, 1978.
