As a brilliant university lecturer, B. Ya. Levin attracted a large audience of working
mathematicians and of students from various levels and backgrounds. For approximately 40 …

Many important functions of mathematical physics are defined as integrals depending on
parameters. The Picard-Lefschetz theory studies how analytic and qualitative properties of …

We consider estimates for the Fourier transform of measures concentrated on smooth
surfaces given by the graph of a smooth function with simple Arnold singularities such that …

Estimates of the Fourier transform of charges (measures) concentrated on smooth
hypersurfaces are considered. Following M. Sugumoto, three classes of smooth …

In this paper, we obtain a criterion of boundedness of maximal operators associated with
smooth hypersurfaces. Also, we compute the exact value of the boundedness index of such …

Presently, the notion of function is not as finally crystallized and definitely established as it
seemed at the end of the 19th century; one can say that at present this notion is still in …

Estimates from below for the norms of linear means of multiple Fourier series are obtained.
These means are given by some function λ and generalize the well-known Bochner-Riesz …

This concise volume presents an overview of equations of mathematical physics and
generalized functions. While intended for advanced readers, the accessible introduction and …

Injectivity sets of the Pompeiu transform - NASA/ADS Now on home page ads icon ads
Enable full ADS view NASA/ADS Injectivity sets of the Pompeiu transform Volchkov, VV …

В статье исследуются операторы Грина из алгебры Л. Буте де Монвеля на гладком
многообразии с компактным гладким краем. В разных постановках вопросы …