Fractional Fourier transforms, harmonic oscillator propagators and Strichartz estimates on Pilipovic and modulation spaces [PDF]
, 2023 We show that harmonic oscillator propagators and fractional Fourier transforms are essentially the same. We deduce continuity properties and fix time estimates for such operators on modulation spaces, and apply the results to prove Strichartz estimates ...
Manna, Ramesh +6 more
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Harmonic diffeomorphisms of noncompact surfaces and Teichmüller spaces [PDF]
, 2002 Let g : M -> N be a quasiconformal harmonic diffeomorphism between noncompact Riemann surfaces M and N. In this paper we study the relation between the map g and the complex structures given on M and N.
Markovic, V. (Vladimir) +1 more
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Maximal functions for groups of operators. [PDF]
, 2000 Let Δ be the Laplace operator on d and 1 < δ < 2. Using transference methods we show that, for max {q, q/(q – 1)} < 4d/(2d + 1 – δ), the maximal function for the Schrödinger group is in Lq, for f Lq with Δδ/2 f Lq. We obtain a similar result for the Airy
Blower, Gordon
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Computability of Function Spaces from Harmonic Analysis [PDF]
, 2020 In computer science and mathematics, a computable function is one for which a computer program exists and can give its values in finite time. We explore notions of computability for function spaces such as the Hardy space H^1(R) and the Besov space B^p(T)
Abdel Malek, Kenzy
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Coupling Harmonic Functions-Finite Elements for Solving the Stream Function-Vorticity Stokes Problem [PDF]
, 2004 We consider the bidimensional Stokes problem for incompressible fluids in stream function-vorticity form. The classical finite element method of degree one usually used does not allow the vorticity on the boundary of the domain to be computed ...
Salaün, Michel +2 more
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Semilinear Poisson problems in Sobolev-Besov spaces on Lipschitz domains [PDF]
, 2002 Extending recent work for the linear Poisson problem for the Laplacian in the framework of Sobolev-Besov spaces on Lipschitz domains by Jerison and Kenig [16], Fabes, Mendez and Mitrea [9], and Mitrea and Taylor [30], here we take up the task of ...
M. Mitrea +3 more
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Carleson measures, trees, extrapolation, and T(b) theorems [PDF]
, 2002 The theory of Carleson measures, stopping time arguments, and atomic decompositions has been well-established in harmonic analysis. More recent is the theory of phase space analysis from the point of view of wave packets on tiles, tree selection ...
S. Hofmann +9 more
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Compact embeddings of broken Sobolev spaces and applications [PDF]
, 2009 In this paper, we present several extensions of theoretical tools for the analysis of discontinuous Galerkin (DG) method beyond the linear case.
Buffa, Annalisa, Ortner, Christoph
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Variable Lebesgue spaces: foundations and harmonic analysis
, 2013 This book provides an accessible introduction to the theory of variable Lebesgue spaces. These spaces generalize the classical Lebesgue spaces by replacing the constant exponent p with a variable exponent p(x). They were introduced in the early 1930s but
CRUZ URIBE D. +2 more
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Moduli Spaces of Lumps on Real Projective Space [PDF]
, 2015 Harmonic maps that minimize the Dirichlet energy in their homotopy classes are known as lumps. Lump solutions on real projective space are explicitly given by rational maps subject to a certain symmetry requirement.
Muhamed, Abera A +3 more
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