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September 17, 2025Pure and Applied Mathematics JournalOpen Access

On the Conditions of Ensuring Uniform Almost Periodic Functions of the Class of Entire Functions

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TMTalbakzoda Mahmadsho

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Overview

This analysis identifies conditions for entire functions to yield uniformly almost periodic values, highlighting links with Fourier series and spectral analysis.

Key Points

  • Entire functions can exhibit almost periodic behavior under specific conditions, influencing their analysis.
  • Necessary and sufficient conditions are established for entire functions regarding their Fourier series representation and growth traits.
  • This research bridges functional analysis and spectral theory, emphasizing the significance of these functions in quantum mechanics.
  • Understanding the spectrum of entire functions aids in resolving their approximations and behaviors in various applications.

Cite This Study

Talbakzoda Mahmadsho (2025) studied this question.

synapsesocial.com/papers/68d45e4e31b076d99fa5e3bfhttps://doi.org/10.11648/j.pamj.20251405.11
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