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* Books:
[1] Le
Hai Chau, Le Hai Khoi: Selected Problems of the Vietnamese
Mathematical Olympiads (1962 - 2009),
Mathematical Olympiad Series, Vol. 5, World Scientific, 2010, 308 + xxi pages. [review]
* Papers:
[14]
Hou Xiaolu, Le Hai Khoi: Some properties of composition operators on
entire Dirichlet series with real
frequencies, C. R. Acad. Sci. Paris, Ser. I 350 (2012), no. 3-4, 149 - 152. [pdf]
[13] Abanin A.V., Ishimura R., Le Hai Khoi: Convolution operators in A-∞ for convex domains, Arkiv för Matematik 50 (2012), no. 1, 1 - 22. [pdf]
[12] Abanin
A.V., Ishimura R., Le Hai Khoi: Extension of solutions of convolution
equations in spaces of holomorphic
functions with polynomial growth
in convex domains, Bull. Sci. Math. 136 (2012), no. 1, 96 - 110. [pdf]
[11] Abanin A.V., Le Hai Khoi, Cauchy-Fantappie transformation and mutual dualities between A-∞(D) and A∞(Ď) for lineally convex domains, C. R. Acad. Sci. Paris, Ser. I 349 (2011), no. 21-22, 1155 - 1158. [pdf]
[10] Abanin A.V., Le Hai Khoi: Pre-dual of the function algebra A-∞(D) and representation of functions in Dirichlet series, Complex Analysis & Operator Theory 5 (2011), no. 4, 1073 - 1092. [pdf]
[9] Abanin A.V., Le Hai Khoi, Nalbandyan, Yu.S.: Minimal absolutely representing systems of exponentials for A-∞(D), J. Approx. Theory 163 (2011), no. 10, 1534 - 1545. [pdf]
[8] Abanin
A.V., Ishimura R., Le Hai Khoi: Exponential-polynomial bases for null
spaces of convolution operators in
A-∞, in "Function Spaces in Morden Analysis", Contemporary Mathematics 547 (2011), Amer. Math. Soc., 1 - 15. [pdf]
[7] Le Hai Khoi: Weakly sufficient sets for weighted spaces h-∞Φ(B), Commun. Korean Math. Soc. 26 (2011), no. 2, 215 - 227. [pdf]
[6] Yang X.D., Le Hai Khoi: Compact differences of composition operators on Bergman spaces in the ball, J. Australian Math. Soc. 89 (2010),no. 3, 407 - 418. [pdf]
[5] Abanin A.V., Le Hai Khoi: Dual of the function algebra A-∞(D) and representation of functions in Dirichlet series, Proc. Amer. Math. Soc. 138 (2010), no. 10, 3623 - 3635. [pdf]
[4] Abanin A.V., Ishimura R., Le Hai Khoi: Surjectivity criteria for convolution operators in A-∞(D), C. R. Acad. Sci. Paris, Ser. I 348 (2010), no. 5-6, 253 - 256. [pdf]
[3] Le Hai Khoi: Sets of uniqueness, weakly sufficient sets and sampling sets for A-∞(B), Bulletin Korean Math. Soc. 47
(2010), no. 5, 933 - 950. [pdf]
[2] Abanin A.V., Le Hai Khoi: On the duality between A-∞(D) and A-∞D for convex domains, C. R. Acad. Sci. Paris, Ser. I 347 (2009), no. 15-16, 863 - 866. [pdf]
[1] Choi Y.J., Le Hai Khoi, Kim K.T.: On an explicit
construction of weakly sufficient sets for the function algebra A-∞(D), Complex Variables & Elliptic Equations 54 (2009), no. 9, 879 - 897. [pdf]
PAPERS ON MATHEMATICS:
[27] Le
Hai Khoi: On the linear hull of exponentials in Cn and applications to
convolution equations. In: Microlocal
Analysis and
Complex Fourier Analysis (Eds: T. Kawai, K. Fujita), 2002, World
Scientific Publisher, 135 - 148.
[26] Le Hai Khoi: Density theorems for exponential systems in the
Bergman space of holomorphic functions. In: Proc. of the Second ISAAC
Congress, 2000, Kluwer Academic Publisher, 789 - 797.
[25] Le Hai Khoi: Density theorems for exponential systems in the
Bargmann-Fock space of entire functions. Selected Problems of Math.
Analysis (Ed: A.V. Abanin), 2000, Gingo Publisher, Russia, 86 - 93.
[24] Le
Hai Khoi: Weakly sufficient sequences in the space of
functions of polynomial growth. Finite or Infinite
Dimensional Complex Analysis (Eds: J. Kajiwara et
al.), 2000, Lecture Notes in Pure and Appl. Math., Marcel
Dekker Ser., 214, 237 - 244.
[23] Le Hai Khoi: Coefficient multipliers for holomorphic Dirichlet
series in several variables. Proc. of the Fifth Vietnam. Math. Conf.
(Eds: Dinh Dung, Tran Duc Van), 1999, Science & Technics Publishing
House, Hanoi, 111 - 120.
[22] Le Hai Khoi: A note on matrix transformations of holomorphic
Dirichlet series, Portugal. Math. 56 (1999), 195 - 203.
[21] Le Hai Khoi: Coefficient multipliers for some classes of
Dirichlet series in several complex variables, Acta Math.
Vietnam. 24 (1999),
169 - 182.
[20] Le Hai Khoi: Multipliers for Dirichlet series in the complex
plane, SEA Bull. Math. 23 (1999), 33 - 42.
[19] Le Hai Khoi: Holomorphic Dirichlet series in the half plane, Vietnam J. Math. 26 (1998), 259 - 271.
[18] Le Hai Khoi, P. Thomas: Weakly sufficient sets for A-∞(D), Publ. Mat. 42 (1998), 435 - 448.
[17] Le Hai Khoi: Convolution operators on holomorphic Dirichlet
series, Tokyo J. Math. 20 (1997), 389 - 402.
[16] Morimoto M., Le Hai Khoi: Representation of harmonic functions
in the Lie ball by Dirichlet series, Tokyo J. Math. 20 (1997) 331 - 342.
[15] Le Hai Khoi: Hilbert spaces of holomorphic Dirichlet series and
applications to convolution equations, J. Math. Anal. Appl. 206 (1997), 10--24.
[14] Le Hai Khoi: Matrix transformations of entire Dirichlet series, Vietnam J. Math. 24 (1996), N1, 109 - 112.
[13] Le Hai Khoi: On extension of Mittag-Leffler's systems, SEA Bull.
Math. 20 (1996), 59 -70.
[12] Le Hai Khoi: Analytic functionals on weakly lineally convex
domains and representation of functions by rational fractions, Complex
Variables: Theory Appl. 28 (1996), 299 - 312.
[11] Le Hai Khoi: Holomorphic Dirichlet series in several variables, Math. Scand. 77 (1995), 85 - 107.
[10] Le Hai Khoi: Weighted spaces of holomorphic functions and
analytic functionals. Function Spaces (Ed: K. Jarosz), 1995, Lecture Notes in
Pure and Appl. Math., Marcel Dekker Ser., 172, 243--250.
[9] Le
Hai Khoi: Weighted spaces of holomorphic functions and systems of
partial differential equations. Complex
Analysis and its Applications
(Eds: C. C. Yang et al.), 1994, Pitnam Res. Notes Math. Ser., Longman
Sci. Tech., Harlow, 305, 298 - 310.
[8] Le Hai Khoi: On a generalization of a Hardy-Littlewood theorem, Vietnam. J. Math. 19 (1991), 59 - 64.
[7] Le Hai Khoi: Espaces conjugués, ensembles faiblement
suffisants discrets et systèmes de représentation
exponentielle, Bull. Sci. Math.
(2) 113 (1989), 309 - 347.
[6] Le Hai Khoi: On representing systems for functions of several
variables, Acta Math. Vietnam. 12 (1987), 103 - 112.
[5] Le Hai Khoi (Le Khai Khoi): Conjugate spaces, weakly sufficient
sets and absolutely representing systems of
exponents of
several variables (in Russian), Izv. Severo-Kavkaz. Nauchn. Tsentra Vyssh.
Shkoly. Estestv. Nauk (1987), 15 - 20.
[4] Le Hai Khoi (Le Khai Khoi): The tensor product of absolutely
representing systems (in Russian), Izv. Vyssh.
Uchebn. Zaved.
Mat., N1, 63 - 65. English transl. in Soviet Math. (Izv. VUZ), 29
(1985), 85 - 88.
[3] Le Hai Khoi (Le Khai Khoi): Representative subspaces
and effective representing systems (in Russian), Math.
analysis and its applications, Rostov-on-Don
(1985), 72 - 80.
[2] Le Hai Khoi (Le Khai Khoi): Properties of multiple representing
systems of exponents (in Russian), Izv.
Severo-Kavkaz. Nauchn. Tsentra
Vyssh. Shkoly. Estestv. Nauk (1984), 31 - 34.
[1] Le Hai Khoi (Le Khai Khoi), Korobeinik Yu. F. : Representing systems of
exponents in polycylindrical domains
(in Russian), Mat. Sb. (NS)
122(164) (1983), 458 - 474. English transl. in Math. USSR
Sb. 50 (1985), 439 - 456.
PAPERS ON MATHEMATICAL FOUNDATIONS OF INFORMATION TECHNOLOGY:
[19] Le Hai Khoi,
Dang Xuan Hong, Nguyen Luong Dong, On
the triangular norms approach for the heuristic model in expert systems.
In: Proceedings of the 5thInternational
Conference on Information Technology in Education and Training (Eds: Nordholm S.E.,
Hoang K.),
2008, Vietnam, 93 - 105.
[18] Le Hai Khoi, Nguyen Luong Dong: On averaging operators and
their properties, Vietnam Journal of Computer Science &
Cybernetics 22 (2006), N4, 349 – 357 (in Vietnamese).
[17] Truong Hai Bang, Le Hai Khoi, Tran Dinh Khang: A development of an
adaptive-network-based fuzzy inference system in finance prediction (in
Vietnamese),
In: Proc. Nat. Workshop on Selected Problems of IT, 2006, Vietnam, 66-81.
[16] Junzo Watada, Teruyuki Watanabe, Tran Duc Minh, Le Hai Khoi: A
Modified Meta-controlled Boltzmann Machine, Vietnam Journal of Computer
Science & Cybernetics 21 (2005), N3, 208 - 215.
[15] Le Hai Khoi, Le Quy Son: Estimations on the inferences of
heuristic model with bounds propagation approach, Vietnam Journal
of Computer Science & Cybernetics 21 (2005), N2, 120 - 129 (in Vietnamese).
[14] Hareton Leung, Tran Ngoc Cuong, Nguyen Hoang Phuong, Le Hai
Khoi: An approach to improve the partition
testing, Vietnam
Journal of Computer Science & Cybernetics 20 (2004), N3, 193 - 204.
[13] Le
Hai Khoi, Tran Duc Minh: About a method to forecast using neural
networks, Vietnam Journal of Computer Science &
Cybernetics 20 (2004), N2, 111 – 120 (in Vietnamese).
[12] Le
Hai Khoi, Dang Xuan Hong, Nguyen Luong Dong: Some problems about
Archimedean triangular norms, Vietnam Journal of Computer
Science & Cybernetics 20 (2004), N4, 373 – 384
(in Vietnamese).
[11] Le
Hai Khoi, Le Quy Son: A heuristic model based on the bound propagation
approach for expert systems,
Vietnam Journal
of Computer Science & Cybernetics 20 (2004), N1, 31 – 41
(in
Vietnamese).
[10] Le Hai Khoi, Tran Duc Minh: Some remarks on the
self-organizing feature maps. In: Proceedings of the 2nd
International Seminar on the environmental science and
technology issues related to the urban and coastal zones
development. Mathematics in
Environmental Studies, 2004, Hanoi Univ. Publishing House, 53 –
84.
[9] Le
Hai Khoi, Dang Xuan Hong: A heuristic model based on the triangular
norms approach for expert systems,
Vietnam Journal of
Computer Science & Cybernetics 19 (2003), N3, 243 – 255 (in
Vietnamese).
[8] Do Nang Toan, Le Hai Khoi: A Voronoi diagram for image objects
and its properties (in Vietnamese).
In: Proc. of the 1st National
Workshop on Fundamental Research and Applications on IT (FAIR)-2003,
Science & Technology Publishing House, Hanoi, 168-172.
[7]
Nguyen Hoang Phuong, Le Hai Khoi: Soft computing for
intelligent systems of integrated occidental and oriental
medicine. In:
Proc. of the Intern. Conf. Intelligent Technologies (InTech
‘2003), Chieng Mai, Thailand, 237 - 246.
[6] Le Hai Khoi, Tran Anh Thu: On the combination of similarly
concluded rules for the expert system based on
certainty factors, Vietnam Journal of Computer Science
& Cybernetics 18 (2002), N1, 65 – 72 (in Vietnamese).
[5] Le Hai Khoi: A heuristic model based on the certainty factors
approach for expert systems, Vietnam Journal of Computer Science &
Cybernetics 17 (2001), N3, 15 – 24 (in Vietnamese).
[4] Le Hai Khoi: Algorithms for refining the rules set and building
the regular rule-based system of the expert system, Vietnam Journal of
Computer Science & Cybernetics 17 (2001), N2, 20 – 26 (in Vietnamese).
[3] Nguyen Hoang Phuong, Le Linh Phong, Le Hai Khoi: A
generalization of Möbius transforms for maxmin inference in
fuzzy expert systems. In: Proc. of
the 1st Intern. Conf. Intelligent Technologies (InTech ‘2000)
(Eds: V. Kreinovich & J. Daengdej), Assumption Univ.,
Bangkok Thailand, 313 - 318.
[2] Le Hai Khoi: Algorithms for finding closure of the facts set
and removing redundant rules of the rules set in the
rule-based system of the expert system,
Vietnam Journal of Computer Science & Cybernetics 16 (2000), N4, 79
– 84 (in Vietnamese).
[1] Vu Duc Thi, Le Hai Khoi: Some essential principles of
datawarehouse, Vietnam Journal of Computer Science &
Cybernetics 15
(1999), N2, 27 – 32 (in Vietnamese).
REFEREED PREPRINTS:
[4] Le
Hai Khoi (Le Khai Khoi): On dual spaces to some spaces of analytic
functions of one and several variables
(in Russian). VINITI Ref. J. Math.,
1984, 11Б - 214, N5151-84 Dep, 28 pages.
[3] Le
Hai Khoi (Le Khai Khoi): The tensor product of absolutely representing
systems in Frechet spaces (in Russian). VINITI Ref. J. Math., 1984, 6Б -
899, N1539-84 Dep, 25 pages.
[2] Le
Hai Khoi (Le Khai Khoi): Some properties of representing systems of
exponents in polycylindrical domains
(in Russian). VINITI Ref. J. Math.,
1983, 5Б - 91, N633-83 Dep, 26 pages.
[1] Le
Hai Khoi (Le Khai Khoi): Vector-valued functions and differential
operators of infinite order (in Russian). VINITI Ref. J. Math., 1982, 3Б - 785, N5527-81
Dep, 54 pages.
OTHERS:
[3] Le Hai Khoi: On the Enhancement of Creative and Independent Awareness
of Primary School Pupils, Tsukuba Journal of Educational Study in
Mathematics 25 (2006), 273 – 278.
[2] Le Hai Chau, Le Hai Khoi: 199 Selected Problems on Combinatorics (in
Vietnamese) – for gifted pupils on
mathematics. Education Publishing House, Hanoi,
1997, 160 pages.
[1] Le Hai Khoi: Representing Systems in Spaces of Holomorphic
Functions of Several Complex Variables (in Russian), Ph.D. Thesis, Rostov Univ,
1985, 143 pages.
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