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Date: 2016
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1258443
Description: We investigate spectral multipliers, Bochner–Riesz means and the convergence of eigenfunction expansion corresponding to the Schrödinger operator with anharmonic potential L = -d²/dx² + |x|. We show t ... More
Reviewed: Reviewed
Date: 2016
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1191380
Description: We establish that the Riesz transforms of all orders corresponding to the Grušin operator HN=−∇2x−|x|2N∇2y, and the first-order operators (∇x,xν∇y) where x∈Rn, y∈Rm, N∈N+, and ν∈{1,…,n}N, are bounded ... More
Reviewed: Reviewed
Date: 2016
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1191478
Description: We consider abstract non-negative self-adjoint operators on L²(X) which satisfy the finite-speed propagation property for the corresponding wave equation. For such operators, we introduce a restrictio ... More
Reviewed: Reviewed
Date: 2015
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/361517
Description: On doubling metric measure spaces endowed with a strongly local regular Dirichlet form, we show some characterisations of pointwise upper bounds of the heat kernel in terms of global scale-invariant i ... More
Reviewed: Reviewed
Date: 2014
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/327059
Description: Let L be a non-negative self-adjoint operator acting on L2(X) where X is a space of homogeneous type. Assume that L generates a holomorphic semigroup e-tL which satisfies generalized m-th order Gaussi ... More
Reviewed: Reviewed
Date: 2014
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/331846
Description: 29 page(s)
Reviewed: Reviewed
Date: 2013
Language: eng
Resource Type: conference proceedings editorship
Identifier: http://hdl.handle.net/1959.14/310638
Description: 147 page(s)
Date: 2013
Language: eng
Resource Type: conference paper
Identifier: http://hdl.handle.net/1959.14/310547
Description: 11 page(s)
Reviewed: Reviewed
Date: 2013
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/269982
Description: 46 page(s)
Reviewed: Reviewed
Date: 2013
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/282770
Description: The classical Stein-Tomas restriction theorem is equivalent to the fact that the spectral measure d"E(ℷ) of the square root of the Laplacian on ℝⁿ is bounded from Lp(ℝⁿ) to Lp'(ℝⁿ) for 1 ≤ p ≤ 2(n + 1 ... More
Reviewed: Reviewed
Date: 2013
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/276556
Description: We describe weighted restriction (Plancherel) type estimates and sharp Hebisch-Müller-Stein type spectral multiplier result for a new class of Grushin type operators. We also discuss the optimal expon ... More
Reviewed: Reviewed
Date: 2012
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/217435
Description: 14 page(s)
Reviewed: Reviewed
Date: 2011
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/164889
Description: 23 page(s)
Reviewed: Reviewed
Date: 2011
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/145928
Description: 25 page(s)
Reviewed: Reviewed
Date: 2011
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/166414
Description: Let Omega be an open subset of R(d) and H(Omega) = -Sigma(d)(i,j=1) partial derivative(i) c(ij) partial derivative(j) be a second-order partial differential operator on L(2)(Omega) with domain C(c)(in ... More
Reviewed: Reviewed