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Displaying 21 – 40 of 279

A remark on complex powers of analytic functions

Giuseppe Zampieri (1985)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Sia $K\subset\subset\mathbb{R}^{n}$ un compatto, $f\geq 0$ una funzione analitica all'intorno di $K$ , ed $m$ la massima molteplicità in $K$ degli zeri di $f$ ; si prova che la potenza $f^{\lambda}$ ( $\lambda\in\mathbb{C}$ , $Re\lambda>—\frac{1}{m}$ ) è integrabile in $K$ . L'estensione meromorfa dell'applicazione $\lambda\rightarrow f^{\lambda}$ da $Re\lambda>0$ a tutto $\mathbb{C}$ (con valori in $\mathcal{D}^{\prime}(K)$ anziché in $L^{1}(K)$ ) era già stata provata in [1] e [2].

A remark on symbols of an operator

Jan A. Rempała (1987)

Banach Center Publications

A Representation of the Space ... .

Manuel Valdivia (1981)

Mathematische Zeitschrift

A sequence space representation of the space of bounded ultradistributions of Beurling type.

María del Carmen Gómez-Collado (2002)

RACSAM

Sequence space representations of the spaces DL1,(ω)(RN) and of its dual D'L1,(ω)(RN), the space of bounded ultradistributions of Beurling type, are presented, in case the weight ω is a strong weight.

A sequential theory of some spaces of generalized functions.

E. Pap, S. Filipovic (1979)

Publications de l'Institut Mathématique [Elektronische Ressource]

A solution of the Cauchy problem in the class of absolutely continuous distribution-valued functions.

Wiciak, Margareta (2004)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

A space of generalized distributions

L. Loura (2006)

Czechoslovak Mathematical Journal

In this paper we use a duality method to introduce a new space of generalized distributions. This method is exactly the same introduced by Schwartz for the distribution theory. Our space of generalized distributions contains all the Schwartz distributions and all the multipole series of physicists and is, in a certain sense, the smallest space containing all these series.

A splitting theory for the space of distributions

P. Domański, D. Vogt (2000)

Studia Mathematica

The splitting problem is studied for short exact sequences consisting of countable projective limits of DFN-spaces (*) 0 → F → X → G → 0, where F or G are isomorphic to the space of distributions D'. It is proved that every sequence (*) splits for F ≃ D' iff G is a subspace of D' and that, for ultrabornological F, every sequence (*) splits for G ≃ D' iff F is a quotient of D'

A Tauberian theorem for distributions

Jiří Čížek, Jiří Jelínek (1996)

Commentationes Mathematicae Universitatis Carolinae

The well-known general Tauberian theorem of N. Wiener is formulated and proved for distributions in the place of functions and its Ganelius' formulation is corrected. Some changes of assumptions of this theorem are discussed, too.

A theorem on kernel in the theory of operator-valued distributions

S. Woronowicz (1971)

Studia Mathematica

Algebraic foundation of some distribution algebras

Benno Fuchssteiner (1984)

Studia Mathematica

Algebraic quantum field theory and noncommutative moment problems. I

J. Alcantara-Bode, J. Yngvason (1988)

Annales de l'I.H.P. Physique théorique

Algebraic quantum field theory and noncommutative moment problems. II

J. Yngvason (1988)

Annales de l'I.H.P. Physique théorique

Algebras whose groups of units are Lie groups

Helge Glöckner (2002)

Studia Mathematica

Let A be a locally convex, unital topological algebra whose group of units $A^{\times}$ is open and such that inversion $ι : A^{\times} \to A^{\times}$ is continuous. Then inversion is analytic, and thus $A^{\times}$ is an analytic Lie group. We show that if A is sequentially complete (or, more generally, Mackey complete), then $A^{\times}$ has a locally diffeomorphic exponential function and multiplication is given locally by the Baker-Campbell-Hausdorff series. In contrast, for suitable non-Mackey complete A, the unit group $A^{\times}$ is an analytic Lie group without...

Currently displaying 21 – 40 of 279

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Displaying 21 – 40 of 279

A remark on complex powers of analytic functions

A remark on symbols of an operator

A Representation of the Space ... .

A sequence space representation of the space of bounded ultradistributions of Beurling type.

A sequential theory of some spaces of generalized functions.

A solution of the Cauchy problem in the class of absolutely continuous distribution-valued functions.

A space of generalized distributions

A splitting theory for the space of distributions

A Tauberian theorem for distributions

A theorem on kernel in the theory of operator-valued distributions

Algebraic foundation of some distribution algebras

Algebraic quantum field theory and noncommutative moment problems. I

Algebraic quantum field theory and noncommutative moment problems. II

Algebras whose groups of units are Lie groups

An algebraic view of distributions and operators

An equation in the left and right fractional derivatives of the same order

Analytic distributions.

Analytic implementation of the duals of some spaces of infinitely differentiable functions.

Approximation of Distribution Spaces by Means of Kernel Operators.

Approximation of Ultra-Differentiable Functions by Polynomials and Entire Functions.

Currently displaying 21 – 40 of 279