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Titlebook: Extended Abstracts 2021/2022; Methusalem Lectures Duván Cardona,Joel Restrepo,Michael Ruzhansky Conference proceedings 2024 The Editor(s) (

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Semiregular Non-commutative Harmonic Oscillators: Some Spectral Asymptotic Propertiesummings model. More in detail, the research deals with spectral Weyl asymptotics for a semiregular system, extending to the vector-valued case results of Helffer and Robert, and more recently of Doll, Gannot and Wunsch.
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A Note on Carleson-Hunt Type Theorems for Vilenkin-Fourier Series convergence of Vilenkin-Fourier series of . for . in case the Vilenkin system is bounded. Moreover, we state an analogy of the Kolmogorov theorem for . and construct a function . such that the partial sums with respect to Vilenkin systems diverge everywhere.
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https://doi.org/10.1057/9780230119543In this work we discuss the behavior of Fourier coefficients with respect to the multiplicative system (Vilenkin system), as well as convergence of the Fourier series and gredy algorithm with respect to the multiplicative system after modification of functions.
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,A Tale of Two Cities: Dickens’s ‘London’,We investigate some effects of the lack of compactness in the critical Sobolev embedding in the Heisenberg group.
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