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160,987
Wavelet Diagonalization of Convolution Operators
"... It is well known that wavelets cannot be eigenfunctions of differential operators. We show that for homogeneous convolution operators, one can obtain a diagonal representation using two different biorthogonal wavelet bases, properly adapted to the operator at hand. We generalize this to include many ..."
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It is well known that wavelets cannot be eigenfunctions of differential operators. We show that for homogeneous convolution operators, one can obtain a diagonal representation using two different biorthogonal wavelet bases, properly adapted to the operator at hand. We generalize this to include
Singular measures and convolution operators
"... We show that in the study of certain convolution operators, functions can be replaced by measures without changing the size of the constants appearing in weak type (1,1) inequalities. As an application, we prove that the best constants for the centered HardyLittlewood maximal operator associated to ..."
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Cited by 4 (3 self)
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We show that in the study of certain convolution operators, functions can be replaced by measures without changing the size of the constants appearing in weak type (1,1) inequalities. As an application, we prove that the best constants for the centered HardyLittlewood maximal operator associated
A NOTE ON CONVOLUTION OPERATORS IN WHITE NOISE CALCULUS
, 2011
"... A note on convolution operators in white noise calculus ..."
Regularity Of Convolution Operators
, 1997
"... this paper we prove that any operator which is given by convolution with a suitable distribution on a compact semisimple Lie group is of type ( ..."
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this paper we prove that any operator which is given by convolution with a suitable distribution on a compact semisimple Lie group is of type (
Sofic groups and convolution operators
, 2006
"... the right convolution by f. Then if Tf is injective, it is surjective as well. We prove the conjecture for the class of sofic groups. AMS Subject Classification: 43A20 ..."
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the right convolution by f. Then if Tf is injective, it is surjective as well. We prove the conjecture for the class of sofic groups. AMS Subject Classification: 43A20
CONVERGENCE OF SEQUENCES OF CONVOLUTION OPERATORS
, 2006
"... Abstract. When (φn) is a sequence of positive functions in L1(R) such that the convolutions φn? f converge in L1norm to f for all f ∈ L1(R), then these convolutions may or may not converge almost everywhere too. There is always a subsequence (φnk) such that at least φnk? f converges almost everywhe ..."
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Abstract. When (φn) is a sequence of positive functions in L1(R) such that the convolutions φn? f converge in L1norm to f for all f ∈ L1(R), then these convolutions may or may not converge almost everywhere too. There is always a subsequence (φnk) such that at least φnk? f converges almost
Subordination and superordination properties for convolution operator
"... (Communicated by A. Ebadian) In the present paper, a certain convolution operator of analytic functions is defined. Subordination and superordination preserving properties for a useful class of analytic operators on the space of normalized analytic functions in the open unit disk are obtained. Sand ..."
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(Communicated by A. Ebadian) In the present paper, a certain convolution operator of analytic functions is defined. Subordination and superordination preserving properties for a useful class of analytic operators on the space of normalized analytic functions in the open unit disk are obtained
Surjective convolution operators on spaces of distributions
"... Dedicated to the memory of Klaus Floret Abstract. We review recent developments in the theory of inductive limits and use them to give a new and rather easy proof for Hörmander’s characterization of surjective convolution operators on spaces of Schwartz distributions. Operadores de convolución sob ..."
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Dedicated to the memory of Klaus Floret Abstract. We review recent developments in the theory of inductive limits and use them to give a new and rather easy proof for Hörmander’s characterization of surjective convolution operators on spaces of Schwartz distributions. Operadores de convolución
INJECTIVE CONVOLUTION OPERATORS ON ℓ ∞ (Γ) ARE
, 2006
"... Abstract. Let Γ be a discrete group and let f ∈ ℓ 1 (Γ). We observe that if the right convolution operator ρf: ℓ ∞ (Γ) → ℓ ∞ (Γ) is injective, then f is invertible in ℓ 1 (Γ). Our proof appeals to the direct finiteness of the algebra ℓ 1 (Γ). We give a simple example to show that in general one can ..."
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Abstract. Let Γ be a discrete group and let f ∈ ℓ 1 (Γ). We observe that if the right convolution operator ρf: ℓ ∞ (Γ) → ℓ ∞ (Γ) is injective, then f is invertible in ℓ 1 (Γ). Our proof appeals to the direct finiteness of the algebra ℓ 1 (Γ). We give a simple example to show that in general one
Subordination and superordination results involving certain convolution operators
 Bull. Iranian Math. Soc
"... Abstract. We introduce a new convolution operator Lλa(b, c;β). Several subordination and superordination results involving this operator are proved. ..."
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Abstract. We introduce a new convolution operator Lλa(b, c;β). Several subordination and superordination results involving this operator are proved.
Results 1  10
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160,987