Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/74
DC Field | Value | Language |
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dc.contributor.author | Cappiello M. | en_US |
dc.contributor.author | Gramchev T. | en_US |
dc.contributor.author | Pilipović, Stevan | en_US |
dc.contributor.author | Rodino L. | en_US |
dc.date.accessioned | 2019-09-23T10:03:23Z | - |
dc.date.available | 2019-09-23T10:03:23Z | - |
dc.date.issued | 2019-10-01 | - |
dc.identifier.issn | 00217670 | en_US |
dc.identifier.uri | https://open.uns.ac.rs/handle/123456789/74 | - |
dc.description.abstract | © 2019, The Hebrew University of Jerusalem. We derive new results on the characterization of Gelfand-Shilov spaces Sνμ(Rn), μ, ν > 0, μ + ν ≥ 1 byGevrey estimates of the L2 norms of iterates of (m, k) anisotropic globally elliptic Shubin (or Γ) type operators, (- Δ)m/2 + |x>k with m, k ∈ 2ℕ being a model operator, and on the decay of the Fourier coefficients in the related eigenfunction expansions. Similar results are obtained for the spaces Σνμ(Rn), μ, ν > 0, μ + ν > 1, cf. (1.2). In contrast to the symmetric case μ = ν and k = m (classical Shubin operators) we encounter resonance type phenomena involving the ratio κ:= μ/ν; namely we obtain a characterization of Sνμ(Rn) and Σνμ(Rn) in the case μ = kt/(k + m), ν = mt/(k + m), t ≥ 1, that is, when κ = k/m ∈ ℚ. | en |
dc.relation.ispartof | Journal d'Analyse Mathematique | en |
dc.title | Anisotropic Shubin operators and eigenfunction expansions in Gelfand-Shilov spaces | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.doi | 10.1007/s11854-019-0048-0 | - |
dc.identifier.scopus | 2-s2.0-85069750047 | - |
dc.identifier.url | https://api.elsevier.com/content/abstract/scopus_id/85069750047 | - |
dc.description.version | Unknown | en_US |
dc.relation.lastpage | 870 | en |
dc.relation.firstpage | 857 | en |
dc.relation.issue | 2 | en |
dc.relation.volume | 138 | en |
item.grantfulltext | none | - |
item.fulltext | No Fulltext | - |
crisitem.author.dept | Prirodno-matematički fakultet, Departman za matematiku i informatiku | - |
crisitem.author.orcid | 0000-0002-5443-4467 | - |
crisitem.author.parentorg | Prirodno-matematički fakultet | - |
Appears in Collections: | PMF Publikacije/Publications |
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