Zobrazeno 1 - 10
of 110
pro vyhledávání: '"Amol Sasane"'
Autor:
Amol Sasane
Publikováno v:
Abstract and Applied Analysis, Vol 2008 (2008)
Externí odkaz:
https://doaj.org/article/e929c77d86c9491285fb005e8a930e53
Autor:
Amol Sasane
Publikováno v:
Mathematics Magazine. 95:458-464
Autor:
Amol Sasane
Publikováno v:
Linear Algebra and its Applications. 631:1-9
Let $\mathcal{A}$ be a unital complex semisimple Banach algebra, and $M_{\mathcal{A}}$ denote its maximal ideal space. For a matrix $M\in {\mathcal{A}}^{n\times n}$, $\widehat{M}$ denotes the matrix obtained by taking entry-wise Gelfand transforms. F
Autor:
Amol Sasane
Publikováno v:
Topological Algebra and its Applications, Vol 8, Iss 1, Pp 88-91 (2020)
The set 𝒜 := δ0+ 𝒟+′, obtained by attaching the identity δ0 to the set 𝒟+′ of all distributions on with support contained in (0, ∞), forms an algebra with the operations of addition, convolution, multiplication by complex sc
Autor:
Moshe Roitman, Amol Sasane
The classical Gleason-Kahane-Żelazko Theorem states that a linear functional on a complex Banach algebra not vanishing on units, and such that $Λ(\mathbf 1)=1$, is multiplicative, that is, $Λ(ab)=Λ(a)Λ(b)$ for all $a,b\in A$. We study the GKŻ p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dd7b65e9c3c572b93cc8646534ca28ce
Autor:
Amol Sasane
Publikováno v:
Mathematische Zeitschrift. 296:313-323
The set $$\mathcal {E}'(\mathbb {R})$$ E ′ ( R ) of all compactly supported distributions, with the operations of addition, convolution, multiplication by complex scalars, and with the strong dual topology is a topological algebra. In this article,
Autor:
Amol Sasane, Victor Ufnarovski
Publikováno v:
J. Geom. Symmetry Phys. 53 (2019), 85-102
Let $R=(r_{ij})\in$ SO(3,${\mathbb{R}}$). We give several different proofs of the fact that the vector $$ V:=\Big( \displaystyle \frac{1}{r_{23}+r_{32}}, \displaystyle \frac{1}{r_{13}+r_{31}}, \displaystyle \frac{1}{r_{12}+r_{21}}\Big)^t $$ if it exi
Autor:
Amol Sasane
A generalised summation method is considered based on the Fourier series of periodic distributions. It is shown that e i t − 2 e 2 i t + 3 e 3 i t − 4 e 4 i t + − ⋯ = P f e i t ( 1 + e i t ) 2 + i π ∑ n ∈ Z δ ( 2 n + 1 ) π ′ , where
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f91ddb89ab00dfe8fe5f9b2af12dbdd3
http://eprints.lse.ac.uk/103822/
http://eprints.lse.ac.uk/103822/
The Bass and topological stable ranks for algebras of almost periodic functions on the real line, II
Autor:
Amol Sasane, Raymond Mortini
Publikováno v:
Banach Journal of Mathematical Analysis
Banach Journal of Mathematical Analysis, Mashhad: Banach Mathematical Research Group, 2019, 13 (3), pp.565-581. ⟨10.1215/17358787-2018-0051⟩
Banach J. Math. Anal. 13, no. 3 (2019), 565-581
Banach Journal of Mathematical Analysis, Mashhad: Banach Mathematical Research Group, 2019, 13 (3), pp.565-581. ⟨10.1215/17358787-2018-0051⟩
Banach J. Math. Anal. 13, no. 3 (2019), 565-581
Let $\Lambda$ be either a subgroup of the integers ${\mathbb{Z}}$ , a semigroup in ${\mathbb{N}}$ , or $\Lambda={\mathbb{Q}}$ (resp., ${\mathbb{Q}}^{+}$ ). We determine the Bass and topological stable ranks of the algebras $\mathrm{AP}_{\Lambda}=\{f\
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e66a0bc427b48c6da1ff075e842ebb42
https://hal.archives-ouvertes.fr/hal-02116253
https://hal.archives-ouvertes.fr/hal-02116253