Sketch of the Theory of Growth of Holomorphic Functions in a Multidimensional Torus

We develop an approach to the theory of growth of the class H (𝕋 n ) of holomorphic functions in a multidimensional torus 𝕋 n based on the structure of elements of this class and well-known results of the heory of growth of entire functions of several complex variables. This approach is illustrated...

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Published in:Journal of mathematical sciences (New York, N.Y.) Vol. 241; no. 6; pp. 735 - 749
Main Authors: Zavyalov, M. N., Maergoiz, L. S.
Format: Journal Article
Language:English
Published: New York Springer US 09.09.2019
Springer
Subjects:
Mathematics
Mathematics and Statistics
32A15
carrier
30C45
multiple Laurent series
convex function
strictly convex cone
entire function of several variables
holomorphic function in multidimensional torus
characteristics of growth
ISSN:1072-3374, 1573-8795
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Abstract We develop an approach to the theory of growth of the class H (𝕋 n ) of holomorphic functions in a multidimensional torus 𝕋 n based on the structure of elements of this class and well-known results of the heory of growth of entire functions of several complex variables. This approach is illustrated in the case where the growth of the function g ∈ H (𝕋 n ) is compared with the growth of its maximum modulus on the skeleton of the polydisk. The properties of the corresponding characteristics of growth of the functions in the class H (𝕋 n ) are studied with their relation to coefficients of the corresponding Laurent series. A comparative analysis of these results and similar assertions of the theory of growth of entire functions of several variables is given.
AbstractList We develop an approach to the theory of growth of the class H([T.sup.n]) of holomorphic functions in a multidimensional torus [T.sup.n] based on the structure of elements of this class and well-known results of the heory of growth of entire functions of several complex variables. This approach is illustrated in the case where the growth of the function g [member of] H([T.sup.n]) is compared with the growth of its maximum modulus on the skeleton of the polydisk. The properties of the corresponding characteristics of growth of the functions in the class H([T.sup.n]) are studied with their relation to coefficients of the corresponding Laurent series. A comparative analysis of these results and similar assertions of the theory of growth of entire functions of several variables is given.
We develop an approach to the theory of growth of the class H (𝕋 n ) of holomorphic functions in a multidimensional torus 𝕋 n based on the structure of elements of this class and well-known results of the heory of growth of entire functions of several complex variables. This approach is illustrated in the case where the growth of the function g ∈ H (𝕋 n ) is compared with the growth of its maximum modulus on the skeleton of the polydisk. The properties of the corresponding characteristics of growth of the functions in the class H (𝕋 n ) are studied with their relation to coefficients of the corresponding Laurent series. A comparative analysis of these results and similar assertions of the theory of growth of entire functions of several variables is given.
We develop an approach to the theory of growth of the class H([T.sup.n]) of holomorphic functions in a multidimensional torus [T.sup.n] based on the structure of elements of this class and well-known results of the heory of growth of entire functions of several complex variables. This approach is illustrated in the case where the growth of the function g [member of] H([T.sup.n]) is compared with the growth of its maximum modulus on the skeleton of the polydisk. The properties of the corresponding characteristics of growth of the functions in the class H([T.sup.n]) are studied with their relation to coefficients of the corresponding Laurent series. A comparative analysis of these results and similar assertions of the theory of growth of entire functions of several variables is given. Keywords and phrases: entire function of several variables, holomorphic function in multidimensional torus, convex function, characteristics of growth, multiple Laurent series, carrier, strictly convex cone. AMS Subject Classification: 32A15, 30C45
Audience Academic
Author Zavyalov, M. N.
Maergoiz, L. S.
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Cites_doi 10.1007/978-94-017-0807-4
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Issue 6
Keywords 32A15
carrier
30C45
multiple Laurent series
convex function
strictly convex cone
entire function of several variables
holomorphic function in multidimensional torus
characteristics of growth
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References MaergoizLSMultidimensional analog of Laurent expansion of holomorphic functions and related questionsDokl. Ross. Akad. Nauk201345254864893154333
B. V. Shabat, Introduction to Complex Analysis, Part II, Nauka, Moscow (1985).
MaergoizLSAsymptotic Characteristics of Entire Functions and Their Applications in Mathematics and Biophysics2003Dordrecht–Boston–LondonKluwer Academic10.1007/978-94-017-0807-41243.32001
MaergoizLSExtensions of the class of entire functions of several variables and related topicsSib. Mat. Zh.201455511371159328911610.1134/S00374466140501151304.32001
RockafellarPTConvex Analysis1970Princeton, New JerseyPrinceton Univ. Press10.1515/97814008731730193.18401
MaergoizLSFunction of orders and scales of growth of entire functions of many variablesSib. Mat. Zh.197213111813210.1007/BF00967646
FultonWIntroduction to Toric Varieties1993Princeton, New JerseyPrinceton Univ. Press10.1515/97814008825260813.14039
RonkinLIIntroduction to the Theory of Entire Functions of Many Variables [in Russian]1971MoscowNauka
MaergoizLSFunctions of types of an entire function of several variables in the directions of its growthSib. Mat. Zh.197314510371056
A. G. Khovansky, “Newton polytopes (solution of singularities),” Itogi Nauki Tekhn. Sovr. Probl. Mat. Nov. Dostizh., 22, 207–239, VINITI, Moscow (1983).
L. I. Ronkin, “Entire functions,” Itogi Nauki Tekhn. Sovr. Probl. Mat. Fundam. Napr., 9, 5–36, VINITI, Moscow (1986).
RaikovDAVector Spaces [in Russian]1962MoscowFizmatgiz
L. S. Maergoiz, “Laplace–Borel transformation of functions holomorphic in the torus and equivalent to entire functions,” in: Methods of Fourier Analysis and Approximation Theory, Birkhäuser, Basel (2016), pp. 195–209.
LelongPGrumanLEntire Functions of Several Complex Variables1986BerlinSpringer-Verlag10.1007/978-3-642-70344-70583.32001
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– reference: LelongPGrumanLEntire Functions of Several Complex Variables1986BerlinSpringer-Verlag10.1007/978-3-642-70344-70583.32001
– reference: L. S. Maergoiz, “Laplace–Borel transformation of functions holomorphic in the torus and equivalent to entire functions,” in: Methods of Fourier Analysis and Approximation Theory, Birkhäuser, Basel (2016), pp. 195–209.
– reference: B. V. Shabat, Introduction to Complex Analysis, Part II, Nauka, Moscow (1985).
– reference: MaergoizLSAsymptotic Characteristics of Entire Functions and Their Applications in Mathematics and Biophysics2003Dordrecht–Boston–LondonKluwer Academic10.1007/978-94-017-0807-41243.32001
– reference: MaergoizLSExtensions of the class of entire functions of several variables and related topicsSib. Mat. Zh.201455511371159328911610.1134/S00374466140501151304.32001
– reference: FultonWIntroduction to Toric Varieties1993Princeton, New JerseyPrinceton Univ. Press10.1515/97814008825260813.14039
– reference: RockafellarPTConvex Analysis1970Princeton, New JerseyPrinceton Univ. Press10.1515/97814008731730193.18401
– reference: MaergoizLSFunction of orders and scales of growth of entire functions of many variablesSib. Mat. Zh.197213111813210.1007/BF00967646
– reference: L. I. Ronkin, “Entire functions,” Itogi Nauki Tekhn. Sovr. Probl. Mat. Fundam. Napr., 9, 5–36, VINITI, Moscow (1986).
– reference: MaergoizLSMultidimensional analog of Laurent expansion of holomorphic functions and related questionsDokl. Ross. Akad. Nauk201345254864893154333
– reference: RonkinLIIntroduction to the Theory of Entire Functions of Many Variables [in Russian]1971MoscowNauka
– reference: MaergoizLSFunctions of types of an entire function of several variables in the directions of its growthSib. Mat. Zh.197314510371056
– reference: RaikovDAVector Spaces [in Russian]1962MoscowFizmatgiz
– ident: 4459_CR13
– ident: 4459_CR14
– volume-title: Asymptotic Characteristics of Entire Functions and Their Applications in Mathematics and Biophysics
  year: 2003
  ident: 4459_CR6
  doi: 10.1007/978-94-017-0807-4
– volume: 14
  start-page: 1037
  issue: 5
  year: 1973
  ident: 4459_CR5
  publication-title: Sib. Mat. Zh.
– ident: 4459_CR9
– volume-title: Convex Analysis
  year: 1970
  ident: 4459_CR11
  doi: 10.1515/9781400873173
– ident: 4459_CR2
– volume-title: Introduction to the Theory of Entire Functions of Many Variables [in Russian]
  year: 1971
  ident: 4459_CR12
– volume: 452
  start-page: 486
  issue: 5
  year: 2013
  ident: 4459_CR7
  publication-title: Dokl. Ross. Akad. Nauk
– volume: 13
  start-page: 118
  issue: 1
  year: 1972
  ident: 4459_CR4
  publication-title: Sib. Mat. Zh.
  doi: 10.1007/BF00967646
– volume: 55
  start-page: 1137
  issue: 5
  year: 2014
  ident: 4459_CR8
  publication-title: Sib. Mat. Zh.
  doi: 10.1134/S0037446614050115
– volume-title: Introduction to Toric Varieties
  year: 1993
  ident: 4459_CR1
  doi: 10.1515/9781400882526
– volume-title: Vector Spaces [in Russian]
  year: 1962
  ident: 4459_CR10
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  year: 1986
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Snippet We develop an approach to the theory of growth of the class H (𝕋 n ) of holomorphic functions in a multidimensional torus 𝕋 n based on the structure of...
We develop an approach to the theory of growth of the class H([T.sup.n]) of holomorphic functions in a multidimensional torus [T.sup.n] based on the structure...
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Title Sketch of the Theory of Growth of Holomorphic Functions in a Multidimensional Torus
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