Efficient Computation of Fourier Transforms on Compact Groups.
Eigenfunction Expansions and the Pinksy Phenomenon on Compact Manifolds.
Eigenfunction expansions of functions describing systems with symmetries.
Eigenfunctions of the Hardy-Littlewood maximal operator
We prove that peak shaped eigenfunctions of the one-dimensional uncentered Hardy-Littlewood maximal operator are symmetric and homogeneous. This implies that the norms of the maximal operator on L(p) spaces are not attained.
Eigenvalues of random wreath products.
Eigenvalues of the Hodge Laplacian on the Heisenberg group.
Ein ableitungsfreies Restglied für die trigonometrische Interpolation periodischer analytischer Funktionen.
Ein Äquikonvergenzsatz für eine Klasse von singulären Differentialoperatoren.
Ein Satz über analytische Forstetzung fastperiodischer Funktionen.
Eine axiomatische Charakterisierung der Hilbert-Transformation
Eine Erweiterung des Riemann-Lebesgue-Lemmas.
El retorno de Fourier.
Electrostatics and ghost poles in near best fixed pole rational interpolation.
Elementary operators on Banach algebras and Fourier transform
We consider elementary operators , acting on a unital Banach algebra, where and are separately commuting families of generalized scalar elements. We give an ascent estimate and a lower bound estimate for such an operator. Additionally, we give a weak variant of the Fuglede-Putnam theorem for an elementary operator with strongly commuting families and , i.e. (), where all and ( and ) commute. The main tool is an L¹ estimate of the Fourier transform of a certain class of functions...
Elementary proofs and the sums differences problem.
In this paper, we rule out the possibility that a certain method of proof in the sums differences conjecture can settle the Kakeya Conjecture.
Elemente der Theorie der Funktionen einer complexen veränderlichen Grösse [Book]
Elliptic biorthogonal polynomials connected with Hermite's continued fraction.
Elliptic functions, area integrals and the exponential square class on B₁(0) ⊆ ℝⁿ, n > 2
For two strictly elliptic operators L₀ and L₁ on the unit ball in ℝⁿ, whose coefficients have a difference function that satisfies a Carleson-type condition, it is shown that a pointwise comparison concerning Lusin area integrals is valid. This result is used to prove that if L₁u₁ = 0 in B₁(0) and then lies in the exponential square class whenever L₀ is an operator so that L₀u₀ = 0 and implies is in the exponential square class; here S is the Lusin area integral. The exponential square theorem,...
Elliptic Riesz operators on the weighted special atom spaces.
Embedding relations between local Hardy and modulation spaces
A sharp embedding relation between local Hardy spaces and modulation spaces is given.