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20042025
most citedUniqueness Theorems for Subharmonic and Holomorphic Functions of Several Variables on a Domain

13 citations · 74 across the 70 of their papers we have counts for

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math.CV2025

Decrease in growth of entire and meromorphic functions

B. N. Khabibullin

We solve the following three problems. 1. How much can the radial growth of an entire function be reduced by multiplying it by some nonzero entire function? We give the answer…

math.CV2023

Completeness of exponential systems in spaces of functions on a compact or domain and their area

B. N. Khabibullin, E. G. Kudasheva

We present new completeness conditions for exponential systems on the complex plane in Banach algebras of continuous functions on a compact with a connected complement that are sim…

math.CV2023

Lower envelopes with respect to convex subcones of subharmonic and plurisubharmonic functions

E. B. Menshikova, B. N. Khabibullin

Let be a domain in a finite-dimensional Euclidean space, and be a convex subcone in the convex cone of all subharmonic functions on . We obtain a criterion for the exist…

math.CV2023

Completeness of exponential systems and the perimeter of the convex hull

B. N. Khabibullin, E. G. Kudasheva, R. R. Muryasov

We give a new scale of completeness conditions for exponential systems in two types of functional spaces on subsets of the complex plane. The first is the Banach spaces of function…

math.CV2022

The Harnack distance and estimates of subharmonic functions from below on the unit disc

B. N. Khabibullin

General estimates from below of holomorphic and subharmonic functions play one of the key roles in the theory of growth of holomorphic and subharmonic functions and in general in t…

math.CV2022

Uniqueness theorems for subharmonic functions

B. N. Khabibullin

It is shown that harmonic functions on some subsets, subharmonic and coinciding everywhere outside of these sets, actually coincide everywhere.