scientific article

DOI10.1512/iumj.1989.38.38031zbMath0703.35133OpenAlexW4255006789MaRDI QIDQ3482231

Andreas Seeger, Christopher D. Sogge

Publication date: 1989

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.1989.38.38031

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

symbolrestriction theoremspectral projection operatorelliptic pseudodifferential operator\(L^ p\rightarrow L^ 2\) estimatesroot of an mth-order elliptic differential operator

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10)

Related Items

The behaviour of eigenstates of arithmetic hyperbolic manifolds ⋮ The equivariant spectral function of an invariant elliptic operator. \(L^p\)-bounds, caustics, and concentration of eigenfunctions ⋮ Large supremum norms and small Shannon entropy for Hecke eigenfunctions of quantized cat maps ⋮ \(L^ \infty\)-norms of eigenfunctions for arithmetic hyperbolic 3-manifolds ⋮ Sup-norm of Hecke-Laplace eigenforms on \(S^3\) ⋮ Large values of eigenfunctions on arithmetic hyperbolic surfaces ⋮ Large newforms of the quantized cat map revisited ⋮ On Sarnak’s Density Conjecture and Its Applications ⋮ On the sup-norm of Maass cusp forms of large level. III ⋮ Fourier expansion along geodesics on Riemann surfaces ⋮ Large values of eigenfunctions on arithmetic hyperbolic 3-manifolds ⋮ Sharp spectral multipliers for operators satisfying generalized Gaussian estimates ⋮ A sum formula for a pair of closed geodesics on a hyperbolic surface ⋮ Hörmander functional calculus for Poisson estimates ⋮ Eigenfunction decay estimates in the quantum integrable case ⋮ Absolute continuity of the periodic Schrödinger operator in transversal geometry ⋮ Sup-norm and nodal domains of dihedral Maass forms ⋮ SemiclassicalL^pEstimates of Quasimodes on Submanifolds ⋮ On the Critical Semilinear Wave Equation Outside Convex Obstacles ⋮ On the sup-norm of Maass cusp forms of large level ⋮ A Note on the Cone Multiplier ⋮ Endpoint bounds for a class of spectral multipliers on compact manifolds ⋮ Maximum norms of chaotic quantum eigenstates and random waves ⋮ Lower bounds for interior nodal sets of Steklov eigenfunctions ⋮ The additive problem for the number of representations as a sum of two squares ⋮ On pairs of closed geodesics on hyperbolic surfaces ⋮ On L^p Resolvent Estimates for Elliptic Operators on Compact Manifolds ⋮ A pointwise inequality for fractional Laplacians ⋮ Arithmetic, zeros, and nodal domains on the sphere