1.

“On a property of Weierstrass' method of summation,” Nauch. Zap., No. 2, pp. 72–77.

2.

(with I. Ya. Shtaerman), “Toward a theory of quadratic forms,” Izv. Politekhn. S.-Kh. Inst., No. 19, pp. 116–123.

3.

“On an application of Euler transformations,” Zap. Fiz.-Mat. Otd. An UkrSSR (Kiev),**1**, No. 4, pp. 32–33.

4.

(with I. Ya. Shtaerman), “Ueber die Zusammenhang zwieschen der Stormerishen Integrations methode und Bernullischen Polynomen,” Zap. Fiz.-Mat. Otd. Akad. Nauk UkrSSR,

**2**, No. 2, pp. 16–24.

MathSciNet5.

“A new derivation of the necessary conditions under which an entire function of integral order is of type one,” Zap. Fiz-Mat. Otd. Akad. Nauk UkrSSR (Kiev),**2**, Mp/3, pp. 20–33.

6.

“On certain applications of Poisson's summation formula,” Zap. In-ta Nar. Prosv. (Kiev),**2**, pp. 157–162.

7.

“Sur les fonctions entiéres d'ordre entier,” Rend. Circ. Math. Palermo,**51**, pp. 390–393.

8.

N. I. Akhiezer 1927 “Toward a theory of the growth of entire functions inside a given angle,” in: Proc. All-Russian Math. Congress [in Russian], pp. 208–212.

9.

N. I. Akhiezer 1927 “On computation of the forces acting on an airplane wing,” in: Proc. All-Russian Math. Congress [in Russian], pp. 252–254.

10.

“Ueber einige Funktionen die in gegebenen Intervallen am wenigsten von Null abweichen,” Izv. Kazan. Fiz.-Mat. Ob.,

**3**, No. 3, pp. 1–69.

MathSciNet11.

“Aerodynamic investigations,” Tr. Fiz.-Mat. Otd. Akad. Nauk UkrSSR,**7**, pp. 1–247.

12.

“On a problem of E. I. Zolotarev,” Izv. Akad. Nauk SSSR, No. 10, pp. 919–931.

13.

“A new form of the remainder in Taylor's formula for functions of several variables,” Zap. Nezhin. In-ta Nar. Prosv.,**10**, pp. 223–227.

14.

“On a generalization of a theorem of E. Landau,” Zap. Nezhin. In-ta Nar. Prosv.,**10**, pp. 228–234.

15.

N. I. Akhiezer 1930 “On polynomials with least deviation from zero,” in: Proc. First All-Union Math. Congress [in Russian], pp. 284–289.

16.

N. I. Akhiezer 1930 “On polynomials with least deviation,” Dokl. Akad. Nauk SSSR, pp. 489–494.

17.

N. I. Akhiezer 1930 “On the extremal properties of certain fractional functions,” Dokl. Akad. Nauk SSSR, pp., 495–499.

18.

“Asyymptotische LÖsung einer Aufgabe über Polynome minimaler Abweichung,” Zap. Khar'k. Mat. Ob.,**4**, pp. 141–144.

19.

“Ueber ein Tschebyscheffsches Extremumproblem,” Math. Ann.,**104**, pp. 739–744.

20.

“Sur les polynomes de Tschebycheff pour deux segments,” C. R. Acad. Sci (Paris),**191**, pp. 754–756.

21.

“Sur les proprietes, asymptotiques des quelques polynomes,” C. R. Acad. Sci. (Paris),**191**, pp. 916–918.

22.

“Sur la valeur asymptotique de la meilleure approximation de quelques fractions par polynomes,” C. R. Acad. Sci. (Paris),**191**, pp. 991–993.

23.

“On the asymptotic properties of polynomials on two intervals,” Izv. Akad. Nauk SSSR, No. 2, 161–178.

24.

“On one minimum problem in the theory of functions and on the number of roots of an algebraic equation that lie inside the unit disc,” Izv. Akad. Nauk SSSR, No. 9, 1169–1189.

MATH25.

“Ueber asymptotische Grösse der besten Annäherung einiger rationalen Funktionen durch Polynome,” Zap. Khar'k. Mat. Ob.,

**5**, pp. 37–47.

MATH26.

“Ueber einige Funktionen welche in zwei gegebenen Intervallen am wenigsten von Null abweichen, I” Izv. Akad. Nauk SSSR, No. 9, pp. 1163–1202.

MATH27.

(with V. I. Putyatyi) Aerodynamics [in Ukranian], ONTVU, Khar'kov.

28.

“Ueber einige Funktionen welche in zwei gegebenen Intervallen am wenigsten von Null abweichen, II,” Izv. Akad. Nauk SSSR, No. 3, pp. 309–344.

MATH29.

“Ueber einige Funktionen welche in zwei gegebenen Intervallen am wenigsten von Null abweichen, III,” Izv. Akad. Nauk SSSR, No. 4, pp. 499–536.

MATH30.

“Ueber eine extremale Eigenshaft rationaler Funktionen,” Zap. Khar'k. Mat. Ob.,

**6**, pp. 39–45.

MATH31.

Course in Theory of Functions. Elements of the General Theory of Functions of a Complex Variable [in Ukrainian], ONTVU, Kharkov, 290 pp.

32.

“Ueber Jacksonschen, Approximationsatz,” Zap. Khar'k. Ob.,

**8**, pp. 3–12.

MATH33.

“Ueber eine Eigenschaft der ‘elliptischen’ Polynome,” Zap. Khar'k. Mat. Ob.,

**9**, pp. 3–8.

MATH34.

(with M. G. Krein), “Ueber Fouriersche Reihen beschränkter summeirbarren Funktionen und ein neues Extremumproblem, I,” Zap. Khar'k. Mat. Ob.,

**9**, pp. 9–28.

MATH35.

(with M. G. Krein), “Ueber Fouriersche Reihen beschränkter summierbaren Funktionen und ein neues Extremumproblem, II,” Zap. Khar'k. Mat. Ob.,

**10**, pp. 3–32.

MATH36.

N. I. Akhiezer, 1934 (with M. G. Krein), “On Fourier series of bounded summable functions,” Proc. Second All-Union Math. Cong. [in Russian], p. 151.

37.

(with M. G. Krein), “Sur une formule de quadrature de Tchebycheff,” C. R. Acad. Sci. (Paris),

**200**, pp. 890–893.

MATH38.

(with M. G. Krein), “Ueber eine Transformation der reelen Toeplitzschen Formen und das Momenten-problem in einem Intervalle,” Zap. Khar'k. Mat. Ob.,

**11**, pp. 21–36.

MATH39.

“Bemerkung über extremale Eigenschaften einiger mit Transformation der elliptischen Funktionen zusammenhängender Brüche,” Zap. Khar'k. Mat. Ob.,

**11**, pp. 27–34.

MATH40.

(with M. G. Krein), “On two minimum problems associated with the moments problem,” Dokl. Akad. Nauk SSSR,**10**, No. 9, pp. 331–334.

41.

(with M. G. Krein), “Das momentumproblem bei zusätzlichen Bedingung von A. Markoff,” Zap. Khar'k. Mat. Ob.,**12**, pp. 13–36.

42.

(with M. G. Krein), “Bemerkung zur Arbeit ueber Fouriersche Reichen, beschränkter summierbarer Funktionen und eine neues Extremumproblem,” Zap. Khar'k. Ob.,**12**, pp. 37–40.

43.

“Verallgemeinerung einer Korkin-Zolotareffschen Minimum-Aufgabe,” Zap. Khar'k. Mat. Ob.,

**13**, pp. 3–14.

MATH44.

(with B. M. Levitan), “On one application of the inequality of G. Bohr and J. Favard,” Dokl. Akad. Nauk SSSR,**14**, No. 7, pp. 419–422.

45.

(with M. G. Krein), “On the best approximation of trigonometric functions by sums of differentiable periodic functions,” Dokl. Akad. Nauk SSSR,

**15**, No. 3, pp. 107–112.

MATH46.

“The problem of moments on two intervals under the Markov addition condition,” Zap. Khar'k. Mat. Ob-va,**14**, pp. 46–60 (together with M. G. Krein).

47.

“On theobest approximation of one class of continuous periodic functions,” Dokl. Akad. Nauk SSSR,**17**, No. 9, pp. 451–454.

48.

“On a theorem of Academician S. N. Bernshtein concerning the Chebyshev quadrature formula,” Zh. In-ta Mat. Akad. Nauk UkrSSR,

**3**, pp. 75–82.

MATH49.

“On one theorem of S. Bokhner,” Zap. Khar'k. Mat. Ob.,

**14**, pp. 75–80.

MATH50.

“On the best approximations of analytic functions,” Dokl. Akad. Nauk SSSR,

**18**, pp. 241–244.

MATH51.

(with M. G. Krein), Problems in the Theory of Moments [in Russian], ONTVU, Khar'kov.

52.

“Some observations on the coefficients of Gaussian-type quadrature formulas,” Tr. Odes. Un-ta,**2**, pp. 29–38 (together with M. G. Krein).

53.

N. I. Akhiezer, 1940, Lectures on the Theory of Approximation [in Russian], Khar'kov.

54.

“On construction of the flow about a thin profile,” Sb. Tr. Inst. Mat. Akad. Nauk UkrSSR,

**4**, pp. 151–156.

MATH55.

N. I. Akhiezer, 1940, (with M. G. Krein), “On quadrature formulas of Chebyshev and Markov,” in: Collected Papers in Memory of Academician Grave [in Russian], pp. 15–28.

56.

(with M. G. Krein), “Some remarks about three papers of Verblunsky,” Zap. Khar'k. Mat. Ob.,

**16**, pp. 129–134.

MATH57.

“On maximal symmetric operators in Hilbert space,” Nauch. Zap. Aviats. Inst.,

**3**, No. 1, pp. 3–8.

MathSciNet58.

“Infinite Jacobian matrices and the moments problem,” Usp. Mat. Nauk,

**9**, pp. 126–156.

MATH59.

“On formulas for inverting singular integrals,” Izv. Akad. Nauk. SSSR,

**9**, pp. 275–290.

MATHMathSciNet60.

“On a proposition of A. N. Kolmogorov and a proposition of M. G. Krein,” Dokl. Akad. Nauk SSSR,

**50**, pp. 35–40.

MATH61.

“The general theory of Chebyshev polynomials,” Nauchnoe Nasledie P. L. Chebysheva,**1**, pp. 5–42.

62.

N. I. Akhiezer 1946 “A brief survey of the work of P. L. Chebyshev,” in: P. L. Chebyshev: Collected Works [in Russian], Moscow, pp. 171–189.

63.

“On properties of entire transcendental functions of exponential type,” Izv. Akad. Nauk SSSR,

**10**, pp. 411–428.

MATHMathSciNet64.

, “On Levitan polynomials,” Dokl. Akad. Nauk SSSR,**54**, pp. 3–6.

65.

“On a class of integral operators,” Sb. Tr. In-ta Mat. Akad. Nauk UkrSSR,**8**, pp. 113–130.

66.

N. I. Akhiezer 1947 Lectures on the Theory of Approximation [in Russian], Moscow.

67.

“Constructive function theory at the Khar'kov University and Mathematics Institute, 1917–1947,” Usp. Mat. Nauk,**2**, No. 3, pp. 158–174.

68.

“Integral operators with Karleman kernels,” Usp. Mat. Nauk.,

**2**, No. 5, pp. 93–131.

MATH69.

(with K. I. Babenko), “On weighted approximation by polynomials of functions that are continuous on the entire real axis,” Dokl. Akad. Nauk SSSR,

**57**, pp. 315–318.

MATH70.

“The Russian Mathematician A. A. Markov (on the 25-th anniversary of his death),” Priroda, No. 8, pp. 76–81.

71.

N. I. Akhiezer 1948 Elements of the Theory of Elliptic Functions [in Russian], Moscow.

72.

“On problems on approximating continuous functions on the entire real axis, I,” Zap. Khar'k. Mat. Ob.,**19**, pp. 21–25.

73.

“Toward a theory of functions of finite degree,” Dokl. Akad. Nauk SSSR,

**63**, pp. 475–478.

MATH74.

N. I. Akhiezer 1948 “A brief biography of Andrei Andreevich Markov,” in: A. A. Markov: Collected Works [in Russian], Moscow, pp. 9–12.

75.

N. I. Akhiezer 1948 Appendix to A. A. Markov: Collected Works, Moscow, pp. 377–390.

76.

“The moments problem of A. A. Markov relative to an arbitrary number of intervals,” Ukr. Math. Zhurn.,**3**, pp. 41–50.

77.

“On interpolation of entire transcendental functions of finite degree,” Dokl. Akad. Nauk SSSR,

**65**, No. 6, pp. 781–784.

MATH78.

(with V. A. Marchenko), “On problems on approximating continuous functions on the entire real axis, II,” Zap. Khar'k. Mat. Ob.,**21**, pp. 5–9.

79.

“On the power problem of moments in the indefinite case,” Zap. Khar'k. Mat. Ob.,**22**, pp. 99–106.

80.

N. I. Akhiezer 1950 (with I. M. Glazman), The Theory of Linear Operators in Hilbert Space [in Russian], Moscow.

81.

(with B. Ya. Levin), “On interpolation of entire transcendental functions of finite degree,” Zap. Khar'k. Mat. Ob.,**23**, pp. 5–26.

82.

“Proof of the rule of multipliers for the isoperimetric problem,” Zap. Khar'k. Mat. Ob.,**23**, pp. 91–93.

83.

(with M. G. Krein), “On generalization of the Schwartz-Levner lemma,” Zap. Khar'k. Mat. Ob.,**23**, pp. 95–101.

84.

“On entire functions of finite degree with least deviation from zero,” Mat. Sb.,

**31**, pp. 415–438.

MATH85.

“On entire transcendental functions of finite degree having a majorant on a sequence of real points,” Izv. Akad. Nauk SSSR,

**16**, No. 4, pp. 353–364.

MATH86.

“On one family of entire functions of finite degree and one problem of Chebyshev,” Izv. Akad. Nauk SSSR,

**16**, No. 5, pp. 459–468.

MATH87.

(with S. N. Bernshtein), “A generalization of a theorem on weighted functions and application to the problem of moments,” Dokl. Akad. Nauk SSSR,

**92**, pp. 1109–1112.

MATH88.

“On weakly weighted functions,” Dokl. Akad. Nauk SSSR,

**93**, No. 6, pp. 949–952.

MATH89.

“On improvement of weighted approximations on the entire real axis by means of entire functions of finite degree,” Dokl. Akad. Nauk SSSR,

**94**, pp. 983–986.

MATH90.

“On one generalization of the Fourier transform and the Weiner-Paley theorem,” Dokl. Akad. Nauk SSSR,

**96**, pp. 889–892.

MATH91.

“On coupled integral equations,” Dokl. Akad. Nauk SSSR,

**98**, pp. 333–336.

MATHMathSciNet92.

N. I. Akhiezer 1954 “I. Ya. Sonin's work on approximate evaluation of definite integrals,” in: I. Ya. Sonin: Research on Cylindrical Functions and Special Polynomials [in Russian], Moscow, pp. 219–243.

93.

N. I. Akhiezer 1955 “P. L. Chebyshev and his scientific heritage,” in: Collected Works of P. L. Chebyshev [in Russian], Moscow, pp. 843–887.

94.

N. I. Akhiezer 1955 Lectures on the Calculus of Variations [in Russian], Moscow.

95.

“On the 90-th birthday of Vladimir Andreevich Steklov,” Tr. Khar'k. Politekhn. Inst., Ser., Inzh.-Fiz.,

**5**, No. 1, pp. 3–14.

MathSciNet96.

“On a uniqueness theorem for the equations of thermal conductivity,” Tr. Khar'k. Politekhn. Inst., Ser. Inzh.-Fiz.,

**5**, No. 1, pp. 51–55.

MathSciNet97.

N. I. Akhiezer 1955 Academician S. N. Bernshtein and His Work on Constructive Function Theory [in Russian], Khar'kov.

98.

“The Khar'kov Mathematical Society,” Zap. Khar'k. Mat. Ob.,**24**, pp. 31–39.

99.

“On weighted approximation of continuous functions by polynomials on the entire real axis,” Usp. Mat. Nauk,**11**, No. 4, pp. 3–43.

100.

N. I. Akhiezer 1956 “Extremal properties of entire transcendental functions of finite degree,” in: Proc. Third All-Union Mathematical Congree [in Russian], Vol. 2, Moscow, p. 25.

101.

(with A. N. Akhiezer), “On the problem of diffraction of electromagnetic waves at a circular opening in a flat screen,” Dokl. Akad. Nauk SSSR,

**109**, pp. 53–56.

MATHMathSciNet102.

N. I. Akhiezer 1956 “On Bernshtein's theory of normal series,” in: (S. N. Bernshtein) The Analytic Nature of Solutions to Differential Equations of Elliptic Type [in Russian], Khar'kov, pp. 83–94.

103.

“Toward a theory of coupled integral equations,” Zap. Khar'k. Mat. Ob.,**25**, pp. 5–31.

104.

(with A. I. Akhiezer and G. Ya. Lyubarskii), “An effective boundary condition at the interface between breeding and moderating media,” Zhurn. Tekhn. Fiz.,**27**, pp. 822–829.

105.

(with V. A. Shcherbina), “On inversion of certain singular integrals,” Khar'k. Mat. Ob.,**25**, pp. 191–198.

106.

(with I. M. Glazman), “On certain classes of continuous functions generated by elementary positive kernels,” Zap. Khar'k. Mat. Ob.,**25**, pp. 205–217.

107.

(with B. Ya. Levin), “Inequalities for derivatives analogous to S. N. Bernshtein's inequality,” Dokl. Akad. Nauk SSSR,

**117**, pp. 735–738.

MathSciNet108.

(with N. V. Efimov), “Boris Yakovlevich Levin (on his fiftieth birthday),” Usp. Mat. Nauk,

**12**, No. 2, pp. 237–242.

MATH109.

“On polynomials that are orthogonal on an arc of a circle,” Dokl. Akad. Nauk SSSR,

**134**, No. 2, pp. 247–250.

MathSciNet110.

“On orthogonal polynomials on certain intervals,” Dokl. Akad. Nauk SSSR,

**134**, No. 1, pp. 9–12.

MATHMathSciNet111.

N. I. Akhiezer, 1960 (with B. Ya. Levin), “A generalization of S. N. Bernshtein's inequality for derivatives of entire functions,” in: Research on Contemporary Problems in the Theory of Functions of a Complex Variable [in Russian], Moscow, pp. 111–165.

111.

(with Yu. Ya. Tomchuk), “Toward a theory of orthogonal polynomials on several intervals,” Dokl. Akad. Nauk SSSR,

**138**, No. 4, pp. 743–746.

MATHMathSciNet113.

N. I. Akhiezer, 1961 The Classical Moments Problem and Related Problems in Analysis [in Russian], Moscow.

114.

(with M. G. Krein), “An extremum problem for polynomials,” Ann. Univ. Sci. Budapestinensis, 3–4, pp. 9–14.

115.

(with I. G. Petrovskii), S. N. Bernshtein's contribution to the theory of partial differential equations,” Usp. Mat. Nauk,**16**, No. 2, pp. 5–20.

116.

“Continuous analogs of orthogonal polynomials on a system of intervals,” Dokl. Akad. Nauk SSSR,

**141**, No. 2, pp. 263–266.

MATHMathSciNet117.

“A continuous analog of polynomials that are orthogonal on an arc of a circle,” Dokl. Akad. Nauk SSSR,

**141**, No. 4, pp. 769–772.

MATHMathSciNet118.

“On certain inversion formulas,” Zap. Khar'k. Mat. Ob.,**27**, pp. 91–95.

119.

(with M. G. Krein), Some Questions in the Theory of Moments, Am. Math. Soc., Providence.

120.

“On one Sturm-Liouville equation on the half-axis,” Zap. Khar'k. Ob.,**29**, pp. 44–52.

121.

“The contiuous analog of certain theorems on Toeplitz matrices,” Ukr. Mat. Zhurn.,

**16**, No. 4, pp. 445–462.

MATH122.

“On Lamé equations,” Zap. Khar'k. Mat. Ob.,**30**, pp. 5–17.

123.

N. I. Akhiezer 1964 “Orthogonal polynomials on a system of intervals and their continuous analogs,” in: Proc. Fourth All-Union Mathematical Congree [in Russian], Vol. 2, pp. 623–628.

124.

N. I. Akhiezer 1965 Lectures on the Theory of Approximation [in Russian], Moscow.

125.

“The maximum on a ray for the derivative of a monotonic entire function of normal type of degree one half,” Teoriya Funktsii, Funktsion. Analiz i Ikh Prilozh.,

**1**, pp. 136–140.

MATH126.

“Extremal properties of entire functions of exponential type,” Teoriya Funktsii, Funktsion. Analiz i Ikh Prilozh.,

**1**, pp. 111–135.

MATH127.

N. I. Akhiezer 1965 The Classical Moment Problem and Some Related Questions in Analysis, Oliver & Boyd, Edinburgh.

128.

(with V. A. Marchenko), “Boris Moiseevich Levitan (on his fiftieth birthday),” Usp. Mat. Nauk,**20**, No. 3, pp. 227–234.

129.

N. I. Akhiezer 1966 (with I. M. Glazman), The Theory of Linear Operators in Hilbert Space [in Russian], Second Edition, Revised and Augmented, Moscow.

130.

(with A. M. Rybalko), “On continuous analogs of polynomials that are orthogonal on a disk,” Ukr. Mat. Zhurn.,

**20**, No. 1, pp. 3–24.

MATH131.

“Remarks on A. M. Rybalko's article ‘On the Fourier transform in weighted L^{2}(−∞, ∞)‘,” Mat. Fizika, Funktsion. Analiz. Tr. FTINT Akad. Nauk UkrSSR,**1**, pp. 165–172.

132.

(with P. S. Aleksandrov, B. V. Gnedenko, and A. N. Kolmogorov), “Sergei Natanovich Bernshtein: An obituary,” Usp. Mat. Nauk,

**24**, No. 3, pp. 211–219.

MATH133.

(with É. M. Zhmudem, Yu. I. Lyubich and V. A. Marchenko), “Izrail' Markovich Glazman: An obituary,” Usp. Mat. Nauk,

**24**, No. 5, pp. 215–219.

MATH134.

(with Ya. P. Blank, V. A. Marchenko, and Yu. A. Mitropol'skii), “Aleksei Vasil'evich Pogorelov (on his fiftieth birthday),” Ukr. Mat. Zhurn.,

**21**, No. 3, pp. 354–360.

MATH135.

N. I. Akhiezer 1970 Elements of the Theory of Elliptic Functions [in Russian], Second Edition, Revised, Moscow.

136.

“On one indeterminate equation of Chebyshev type in problems on construction of orthogonal sysems,” Mat. Fizika i Funktsion. Analiz. TR. FTINT Akad. Nauk UkrSSR,**2**, pp. 3–14.

137.

(with L. I. Ronkin), “On separately analytic functions of several variables and theorems on ‘wedge cusps’”, Usp. Mat. Nauk,

**28**, No. 3, pp. 27–42.

MATH138.

N. I. Akhiezer 1976 (with L. I. Ronkinii), “On separately analytic functions of several variables,” in: Problems in Mathematical Physics and Functional Analysis [in Russian], Kiev, pp. 3–10.

139.

N. I. Akhiezer 1977 (with I. M. Glazman), The Theory of Linear Operators in Hilbert Space [in Russian], Vol. 1, Khar'kov.

140.

(with N. V. Efimov, M. G. Krein, M. A. Lavrent'ev, V. A. Marchenko, I. V. Ostrovskii, and B. V. Shabat), “Boris Yakovlevich Levin (on his seventieth birthday),” Usp. Mat. Nauk,

**32**, No. 5, pp. 211–213.

MATH141.

N. I. Akhiezer 1978 (with I. M. Glazman), The Theory of Linear Operators in Hilbert Space [in Russian], Vol. 2, Khar'kov.

142.

“On the spectral theory of Lamé equations,” Istoriko-Matematicheskie Issledovaniya, No. 23, pp. 77–86.

MATHMathSciNet143.

N. I. Akhiezer 1980 (with I. M. Glazman), Theory of Linear Operators in Hilbert Space, Vols. 1 and 2, Pitman.

144.

N. I. Akhiezer 1981 The Calculus of Variations [in Russian], Khar'kov.

145.

N. I. Akhiezer 1984 Lectures on Integral Transforms [in Russian], Khar'kov.

146.

N. I. Akhiezer 1987 “Chebyshev's approach in the theory of functions,” in: Mathematics of the Nineteenth Century [in Russian], Moscow, pp. 9–79.

147.

The Calculus of Variations, Harwood Academic Publishers, New York.

148.

Lectures on Integral Transforms, Am. Math. Soc., Providence.