✦ LIBER ✦

A direct approach to convolution type operators with symmetry

✍ Scribed by L. P. Castro; F.-O. Speck; F. S. Teixeira

Publisher: John Wiley and Sons
Year: 2004
Tongue: English
Weight: 180 KB
Volume: 269-270
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200310166

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

We consider convolution type operators that carry a certain symmetry in their structure. The study is motivated by several applications in mathematical physics where this kind of operators appears. They can be regarded as a class of Wiener‐Hopf plus Hankel operators acting in spaces of Bessel potentials. But the common approach of reduction to systems of Wiener‐Hopf equations is avoided by a more direct factorization scheme. The main results are: Fredholm criteria, analytical representation of generalized inverses, and the constructive solution of normalization problems. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

📜 SIMILAR VOLUMES

Classification of interaction operators

Classification of interaction operators with respect to many-particle permutation symmetry

✍ A. van der Avoird; P.E.S. Wormer 📂 Article 📅 1972 🏛 Elsevier Science 🌐 English ⚖ 396 KB

TWO procedures Qr(: dcveiopcd for the ~lassi~i~atiun of interaction opfrstors with respect to the permutation symmetry of a many (N) partick system, which is a necessary tist step for deriving seiection rules for matrix elements of spin dependent operators over many-particle wavefunctions. The firs

Symbol calculus and Fredholmness for a B

Symbol calculus and Fredholmness for a Banach algebra of convolution type operators with slowly oscillating and piecewise continuous data

✍ Maria Amélia Bastos; António Bravo; Yuri Karlovich 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 358 KB

## Abstract A symbol calculus for the smallest Banach subalgebra 𝒜~[__SO,PC__]~ of the Banach algebra ℬ︁(__L^n^~p~__(ℝ)) of all bounded linear operators on the Lebesgue spaces __L^n^~p~__(ℝ) (1 < __p__ < ∞, __n__ ≥ 1) which contains all the convolution type operators __W~a,b~__ = __a__ℱ^−1^__b__ℱ w

Direct Organocatalytic Asymmetric Approa

Direct Organocatalytic Asymmetric Approach to Baylis–Hillman-Type Products Through a Push–Pull Dienamine Platform

✍ Dhevalapally B. Ramachary; Kinthada Ramakumar 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 960 KB

ChemInform Abstract: A Rapid Approach to

ChemInform Abstract: A Rapid Approach to Biaryls: Direct Arylation with Aryl Halides

✍ Tobias Harschneck; Stefan F. Kirsch 📂 Article 📅 2010 🏛 John Wiley and Sons ⚖ 15 KB

A GROUP THEORETIC APPROACH TO THE LINEAR

A GROUP THEORETIC APPROACH TO THE LINEAR FREE VIBRATION ANALYSIS OF SHELLS WITH DIHEDRAL SYMMETRY

✍ S.J. MOHAN; R. PRATAP 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 516 KB

This paper deals with a group theoretic approach to the finite element analysis of linear free vibrations of shells with dihedral symmetry. Examples of such shell structures are cylindrical shells, conical shells, shells with circumferential stiffeners, corrugated shells, spherical shells, etc. The

A Functional Integral Approach to Shock

A Functional Integral Approach to Shock Wave Solutions of the Euler Equations with Spherical Symmetry (II)

✍ Tong Yang 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 449 KB

This is a continuation of [15]. As is well known, one dimensional conservation laws without source term have been extensively investigated after the foundamental paper of J. Glimm [3]. And those with integrable source terms were solved by Liu [6, 7], etc. For higher dimensional case with spherical s