Real Paley–Wiener theorems and local spectral radius formulas
From MaRDI portal
Publication:3574787
DOI10.1090/S0002-9947-10-05044-0zbMath1194.42014arXiv0804.3014MaRDI QIDQ3574787
Nils Byrial Andersen, M. F. E. de Jeu
Publication date: 2 July 2010
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0804.3014
Fourier transformPaley-Wiener theoremlocal spectrumconstant coefficient differential operatorlocal spectral radius formula
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Local spectral properties of linear operators (47A11)
Related Items (35)
Real Paley–Wiener theorem for the quaternion Fourier transform ⋮ On the Paley-Wiener theorem in the Mellin transform setting ⋮ A study of the sequence of norm of derivatives (or primitives) of functions depending on their Beurling spectrum ⋮ Real Paley–Wiener theorems for the special relativistic space-time Fourier transform ⋮ Paley-Wiener theorems of generalized Fourier transform associated with a Cherednik type operator on the real line ⋮ The Weyl functional calculus in Michael-algebras ⋮ Spectral theorems associated with the Cherednik operators on \(\mathbb R^d\) ⋮ A generalization of the Paley-Wiener theorem for Mellin transforms and metric characterization of function spaces ⋮ Local spectral formula for integral operators on \(L_{p}(\mathbb T)\) ⋮ The Paley-Wiener theorem in the language of Taylor expansion coefficients ⋮ Properties of the fractional Clifford–Fourier transform ⋮ Entire \(L^p\)-functions of exponential type ⋮ Paley-Wiener theorems for the \(\mathrm U(n)\)-spherical transform on the Heisenberg group ⋮ Paley-Wiener-type theorems associated to the Laplace-Bessel operator ⋮ On the supports of functions associated to the radially deformed Fourier transform ⋮ Spectrum of quaternion signals associated with quaternion linear canonical transform ⋮ Real Paley-Wiener theorems for the space-time Fourier transform ⋮ \(P\)-primitives and explicit solutions of polynomial differential equations in \(L^{\varPhi}(\mathbb{T})\) ⋮ Spectrum of functions and distributions for the Jacobi-Dunkl transform on \(\mathbb R\) ⋮ Paley-Wiener and Boas theorems for the quaternion Fourier transform ⋮ Real Paley-Wiener theorems for Fourier series ⋮ Spectral theorems associated with the Jacobi-Cherednik operator ⋮ On the range of the generalized Fourier transform associated with a Cherednick type operator on the real line ⋮ Real Paley-Wiener theorems for the Clifford Fourier transform ⋮ New spectral theorems in Dunkl analysis ⋮ Real Paley-Wiener theorems in spaces of ultradifferentiable functions ⋮ An extension of Bernstein inequality ⋮ SPECTRAL THEOREMS ASSOCIATED TO THE DUNKL OPERATORS ⋮ Paley-Wiener theorem for a generalized Fourier transform associated to a Dunkl-type operator ⋮ Spectrums of functions associated to the fractional Clifford-Fourier transform ⋮ Paley–Wiener theorem for functions inLp(ℝn) ⋮ Roe's theorem revisited ⋮ Bernstein spaces on Siegel CR manifolds ⋮ New Paley-Wiener theorems ⋮ On the range of the Opdam-Cherednik transform and Roe's theorem in the Cherednik setting
Cites Work
- A modified and a finite index Weber transforms
- Analysis of band-limited functions on quantum graphs
- Real Paley-Wiener theorems associated with the Weinstein operator
- On the Bernstein-Nikolsky inequality
- Sampling of Paley-Wiener functions on stratified groups
- New type Paley-Wiener theorems for the modified multidimensional Mellin transform
- The Dunkl transform
- The sequence of Luxemburg norms of derivatives
- On the range of the Hankel and extended Hankel transforms
- On real Paley--Wiener theorems for certain integral transforms.
- Nonconvex cases of the Paley-Wiener-Schwartz theorem
- Paley-Wiener-type theorems for a class of integral transforms
- On the range of the Chébli-Trimèche transform
- A property of entire functions of exponential type for Lorentz spaces
- Generalization of a theorem of Boas to a class of integral transforms
- Paley-Wiener and Boas theorems for singular Sturm-Liouville integral transforms
- A finite and an infinite Whittaker integral transform
- Real Paley-Wiener theorems for the inverse Fourier transform on a Riemannian symmetric space.
- On the Bernstein-Nikolsky inequality. II
- Some properties of functions with bounded spectrum
- Real Paley-Wiener theorems for the Koornwinder-Swarttouw \(q\)-Hankel transform
- Convolution operator and maximal function for the Dunkl transform
- Real Paley-Wiener theorems for the Hankel transform
- A Property of Infinitely Differentiable Functions
- Local spectral radius formulas on compact Lie groups
- On the supports of functions
- The Generic Local Spectrum of Any Operator is The Full Spectrum
- On an algebra of pseudodifferential operators
- Properties of functions in Orlicz spaces that depend on the geometry of their spectra
- A whittaker transform over a half-line
- On an index integral transform involving the modified bessel function
- New Type Paley-Wiener Theorems for the Dunkl Transform on R
- A sampling theorem on homogeneous manifolds
- Functional calculi and decomposability of unbounded multiplier operators in LP(ℝN)
- Functions with Bounded Spectrum
- REAL PALEY–WIENER THEOREMS
- On the range of the Y-transform
- Paley–Wiener theorems for the Dunkl transform
- Deconvolution of band limited functions on non-compact symmetric spaces
- Real Paley–Wiener theorems for the Dunkl transform on ℝ
- Paley-Wiener-type theorem for a class of integral transforms arising from a singular Dirac system
- Sampling of band-limited vectors
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Real Paley–Wiener theorems and local spectral radius formulas