Subharmonic Additions to the Beurling–Malliavin Theorems. I. On the Multiplier

The Beurling–Malliavin Theorem on the multiplier and its various versions give several variants of conditions for the function on the real axis , under which this function can be multiplied by an entire, bounded on , function of arbitrarily small exponential type so that the product of is bounded on...

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Bibliographic Details
Published in:Lobachevskii journal of mathematics 2024, Vol.45 (4), p.1841-1849
Main Authors: Khabibullin, B. N., Kudasheva, E. G.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Geometry
Harmonic functions
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Multipliers
Probability Theory and Stochastic Processes
Theorems
Online Access:Get full text
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Summary:The Beurling–Malliavin Theorem on the multiplier and its various versions give several variants of conditions for the function on the real axis , under which this function can be multiplied by an entire, bounded on , function of arbitrarily small exponential type so that the product of is bounded on . We consider a new version for the function , where and is a pair of subharmonic functions of finite type with finite logarithmic integrals over .
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080224601395