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Creators/Authors contains: "Bownik, Marcin"

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  1. ; (, Journal of Functional Analysis)
    Free, publicly-accessible full text available September 1, 2026
  2. ; (, Advances in Mathematics)
    Free, publicly-accessible full text available May 1, 2026
  3. ; (, Mathematische Annalen)
    Full Text Available 
  4. ; (, Mathematische Nachrichten)
    Accepted Manuscript Full Text Available
  5. ; ; (, Applied and Computational Harmonic Analysis)
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  6. ; ; (, Constructive Approximation)
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  7. ; ; (, Journal of Fourier Analysis and Applications)
    Abstract We construct a single smooth orthogonal projection with desired localization whose average under a group action yields the decomposition of the identity operator. For any full rank lattice $$\Gamma \subset \mathbb {R}^d$$ Γ ⊂ R d , a smooth projection is localized in a neighborhood of an arbitrary precompact fundamental domain $$\mathbb {R}^d/\Gamma $$ R d / Γ . We also show the existence of a highly localized smooth orthogonal projection, whose Marcinkiewicz average under the action of SO ( d ), is a multiple of the identity on $$L^2(\mathbb {S}^{d-1})$$ L 2 ( S d - 1 ) . As an application we construct highly localized continuous Parseval frames on the sphere. 
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  8. ; ; (, The Journal of Geometric Analysis)
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  9. ; ; (, Journal of Mathematical Analysis and Applications)
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  10. ; (, Journal of Functional Analysis)
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