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12 Result(s)

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  1. Article

    Open Access

    Subexponential decay and regularity estimates for eigenfunctions of localization operators

    We consider time-frequency localization operators \(A_a^{\varphi _1,\varphi _2}\) A ...

    Federico Bastianoni, Nenad Teofanov in Journal of Pseudo-Differential Operators a… (2021)

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    Article

    A Paley–Wiener theorem in extended Gevrey regularity

    In this paper we introduce appropriate associated function to the sequence \(M_p=p^{\tau p^{\sigma }}, p\in {\mathbf {N}}, \tau>0, \sigma >1\)Mp=pτpσ,p∈N,τ>0,σ>1, and derive its sharp asymptotic estimates in term...

    Stevan Pilipović, Nenad Teofanov… in Journal of Pseudo-Differential Operators a… (2020)

  3. No Access

    Chapter

    Extended Gevrey Regularity via the Short-Time Fourier Transform

    We study the regularity of smooth functions whose derivatives are dominated by sequences of the form M p τ , σ = p τ p σ \(M_p^{\tau ,\sigma }=p^{\tau p^{\sigma }}\) , τ > 0, σ ≥ 1. We ...

    Nenad Teofanov, Filip Tomić in Advances in Microlocal and Time-Frequency Analysis (2020)

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    Chapter

    Continuity Properties of Multilinear Localization Operators on Modulation Spaces

    We introduce multilinear localization operators in terms of the short-time Fourier transform and multilinear Weyl pseudodifferential operators. We prove that such localization operators are in fact Weyl pseudo...

    Nenad Teofanov in Landscapes of Time-Frequency Analysis (2019)

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    Chapter and Conference Paper

    The Grossmann–Royer Transform, Gelfand–Shilov Spaces, and Continuity Properties of Localization Operators on Modulation Spaces

    This paper offers a review of results concerning localization operators on modulation spaces, and related topics. However, our approach, based on the Grossmann–Royer transform, gives a new insight and (slightl...

    Nenad Teofanov in Mathematical Analysis and Applications—Plenary Lectures (2018)

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    Article

    Inverse closedness and localization in extended Gevrey regularity

    We consider classes \( \mathcal {E}_{\tau ,\sigma }(U)\) ...

    Nenad Teofanov, Filip Tomić in Journal of Pseudo-Differential Operators and Applications (2017)

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    Chapter

    Ultradifferentiable Functions of Class \( M_p^{\tau ,\sigma } \) and Microlocal Regularity

    We study spaces of ultradifferentiable functions which contain Gevrey classes. Although the corresponding defining sequences do not satisfy Komatsu’s condition (M.2)’, we prove appropriate continuity propertie...

    Nenad Teofanov, Filip Tomić in Generalized Functions and Fourier Analysis (2017)

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    Article

    Beyond Gevrey regularity

    We define and study classes of smooth functions which are less regular than Gevrey functions. To that end we introduce two-parameter dependent sequences which do not satisfy Komatsu’s condition (M.2)’, which i...

    Stevan Pilipović, Nenad Teofanov… in Journal of Pseudo-Differential Operators a… (2016)

  9. No Access

    Chapter and Conference Paper

    A Note on Wave-front Sets of Roumieu Type Ultradistributions

    We study wave-front sets in weighted Fourier–Lebesgue spaces and corresponding spaces of ultradistributions. We give a comparison of these sets with the well-known wave-front sets of Roumieu type ultradistribu...

    Karoline Johansson, Stevan Pilipović… in Pseudo-Differential Operators, Generalized… (2013)

  10. No Access

    Article

    Micro-Local Analysis with Fourier Lebesgue Spaces. Part I

    Let ω,ω 0 be appropriate weight functions and q∈[1,∞]. We introduce the wave-front set, $\mathrm{WF}_{\mathcal...

    Stevan Pilipović, Nenad Teofanov… in Journal of Fourier Analysis and Applicatio… (2011)

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    Article

    Micro-local analysis in Fourier Lebesgue and modulation spaces: part II

    We consider different types of (local) products f 1 f 2 in Fourier Lebesgue spaces. Furthermore, we prove the existence of such products fo...

    Stevan Pilipović, Nenad Teofanov… in Journal of Pseudo-Differential Operators a… (2010)

  12. No Access

    Chapter and Conference Paper

    Ultradistributions and Time-Frequency Analysis

    The aim of the paper is to show the connection between the theory of ultradistributions and time-frequency analysis. This is done through time-frequency representations and modulation spaces. Furthermore, some...

    Nenad Teofanov in Pseudo-Differential Operators and Related Topics (2006)