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- A(z)-analytic function (1)
- A(z)-analytic functions (1)
- A(z)-lemniscate (1)
- A-analytic function (1)
- Algebra of measurable functions (1)
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- Analogue of Fatou's theorem for the Hardy class of functions H1A (1)
- Banach module (1)
- Beltram equation (1)
- Characteristic transversal equivalences and enumerations (1)
- Cyclically compact set (1)
- Enumerated algebras (1)
- Hartogs’ theorem (1)
- Integral theorem of Cauchy (1)
- Isolated singular points (1)
- Laurent expansion (1)
- M-polar sets (1)
- Mittag-Leffler theorem. (1)
- Morphism (1)
- Polar sets (1)
- Representation of the universal algebra over the equivalence and η-algebra (1)
- Schwartz lemma for A-analytic functions (1)
- Stein manifold (1)
- Strongly m-subharmonic functions (1)
- The Hardy class for A(z)-analytic functions (1)
- The angular limit for A(z)-analytic functions (1)
- The boundary uniqueness theorem for functions from H1A. (1)
- Uniformly computable separate enumerations. (1)
- 𝒫m-capacity. (1)
- 𝒫m-measure (1)
Articles 1 - 6 of 6
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Cyclically Compact Sets In Banach Modules Over Algebra L0, Jasurbek Karimov
Cyclically Compact Sets In Banach Modules Over Algebra L0, Jasurbek Karimov
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences
In this paper some properties of cyclic compact sets in Banach modules over the algebra of measurable functions are given. The convergence of the cyclic subnet of any convergent sequence, and to the same limit is proved. It is also shown that if we multiply the cyclic compact set to any measurable function it will be cyclic compact set too.
Strongly M-Subharmonic Functions On Complex Manifolds, Sukrotbek Kurbonboyev
Strongly M-Subharmonic Functions On Complex Manifolds, Sukrotbek Kurbonboyev
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences
This article is devoted to the definition and study of strongly m-subharmonic (shm) functions on complex manifolds. A definition of strongly m-subharmonic functions on a Stein manifold is introduced and some basic properties are proven.
Algorithmic Criterion Of Locally Finite Separability Of Algebras Represented Over Equivalence Α2 ∪ Id Ω, Sarvar Zhavliev
Algorithmic Criterion Of Locally Finite Separability Of Algebras Represented Over Equivalence Α2 ∪ Id Ω, Sarvar Zhavliev
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences
It has been established that for equivalences of the form α2 ∪ id ω, the locally finite separability of any universal algebra represented over it is equivalent to the immune of the complement α. It is shown that for finitely separable algebras this criterion does not meet.
Analogue Of The Mittag-Leffler Theorem For A(Z)-Analytic Functions, Muhayyo Ne'matillayeva
Analogue Of The Mittag-Leffler Theorem For A(Z)-Analytic Functions, Muhayyo Ne'matillayeva
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences
We consider A(z)-analytic functions in case when A(z) is antiholomorphic function. For A(z)-analytic functions analog of the Mittag-Leffler theorem is proved.
Existence Of Boundary Values Of Hardy Class Functions H1A, Nasridin Zhabborov, Shokhruh Khursanov, Behzod Husenov
Existence Of Boundary Values Of Hardy Class Functions H1A, Nasridin Zhabborov, Shokhruh Khursanov, Behzod Husenov
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences
We consider A(z)-analytic functions in case when A(z) is antianalytic function. In this paper, the Hardy class for A(z)-analytic functions are introduced and for these classes, the boundary values of the function are investigated. For the Hardy class of functions H1A, an analogue of Fatou's theorem was proved about that the bounded functions have the boundary values. As the main result, the boundary uniqueness theorem for Hardy classes of functions H1A is proven.
On The Hartogs Theorem For A-Analytic Functions In ℂN, Tolib Otaboev
On The Hartogs Theorem For A-Analytic Functions In ℂN, Tolib Otaboev
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences
In this paper, we define a separately A-analytic and an A-analytic function of several variables as a solution of system of equations of Beltrami in the space ℂn. It is proved an analogue of the Cauchy integral formula for an A-analytic function of several variables. It is proved a theorem on the expansion of an A-analytic function of several variables into a multiple series. When the function is bounded, it is proved an analogue of the Hartogs’ theorem for A-analytic functions of several variables.