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Multiplications and convolutions in L. Schwartz' spaces of test functions and distributions and their continuity
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Julian Larcher
Veröffentlicht/Copyright:
10. Dezember 2013
Abstract
We list multiplier and convolutor spaces of the spaces occurring in L. Schwartz' “Théorie des distributions”. Furthermore we clarify whether the multiplications and convolutions are continuous or not.
Keywords: Multipliers; convolutors; continuity of multiplications and convolutions; topological algebras
Received: 2013-1-25
Published Online: 2013-12-10
Published in Print: 2013-12-1
© 2013 by Walter de Gruyter Berlin Boston
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Artikel in diesem Heft
- Masthead
- Masthead
- The Cardon and Robert Criterion for the Riemann hypothesis
- Multiplications and convolutions in L. Schwartz' spaces of test functions and distributions and their continuity
- Delay difference equations: Coexistence of oscillatory and nonoscillatory solutions
- On an integral formula for differential forms and its applications on manifolds with boundary
- Some Hermite–Hadamard type inequalities for log-h-convex functions
- Asymptotic of some integral
- Argument properties of symmetric analytic functions
- Three new sequences converging to the Euler–Mascheroni constant
- Universality of multivariate interpolation
Schlagwörter für diesen Artikel
Multipliers;
convolutors;
continuity of multiplications and convolutions;
topological algebras
Artikel in diesem Heft
- Masthead
- Masthead
- The Cardon and Robert Criterion for the Riemann hypothesis
- Multiplications and convolutions in L. Schwartz' spaces of test functions and distributions and their continuity
- Delay difference equations: Coexistence of oscillatory and nonoscillatory solutions
- On an integral formula for differential forms and its applications on manifolds with boundary
- Some Hermite–Hadamard type inequalities for log-h-convex functions
- Asymptotic of some integral
- Argument properties of symmetric analytic functions
- Three new sequences converging to the Euler–Mascheroni constant
- Universality of multivariate interpolation
