Weighted composition operators on the predual and dual Banach spaces of Beurling algebras on Z

Let vv be a weight sequence on ZZ and let ψ,φψ,φ be complex-valued functions on ZZ such that φ(Z)⊂Zφ(Z)⊂Z. In this paper we study the boundedness, compactness and weak compactness of weighted composition operators Cψ,φCψ,φ on predual Banach spaces c0(Z,1/v)c0(Z,1/v) and dual Banach spaces ℓ∞(Z,1/v)ℓ∞(Z,1/v) of Beurling algebras ℓ1(Z,v)ℓ1(Z,v).

On the Analytic Solutions of the Functional Equations w 1 f(a 1 z) + w 2 f(a 2 z) + ... + w n f(a n z) = 0

In this paper, it is showed that, given an integer number n ≥ 2, each zero of an exponential polynomial of the form w1az1+w2az2+⋯+wnazn, with non-null complex numbers w 1,w 2,…,w n and a 1,a 2,…,a n , produces analytic solutions of the functional equation w 1 f(a 1 z) + w 2 f(a 2 z) + ... + w n f(a n z) = 0 on certain domains of C, which represents an extension of some existing results in the literature on this functional equation for the case of positive coefficients a j and w j.

Catalog of type and referred specimens of fossil ostracodes in the Field Museum of Natural History / [by] Matthew H. Nitecki -- and Diana Z. Handler --.

v.17:no.5(1968)

Aleutian islanders; Eskimos of the north Pacific / by George I. Quimby, Curator of Exhibits, Dept. of Anthropology. Drawings by Helen Z. Quimby.

no.35(1944)

Letters from Z.W. Nixon to William Tudor,

Four letters regarding the legal and financial aspects involving the Chanca silver mine and its stakeholders, Tudor, McCall, Maling, and Prevost, and a copy of a letter from Nixon to Prevost. Nixon additionally comments on domestic news, including the renaming of the U.S.S. Susquehanna as the U.S.S. Brandywine by John Quincy Adams in honor of the Marquis de Lafayette. The ship conveyed Lafayette back to France after his tour of the United States. Nixon also mentions Charles Stewart and his court martial.

Talfīq al-akhbār wa-talqīḥ al-āthār fī waqāʻiʻ Qāzān wa-Bulghār wa-mulūk al-Tatār

athar M. M. al-Ramzī.

Tashīl al-majāz ilá fann al-muʻammá wa-al-alghāz

jamʻ Ṭāhir al-Jazāʼirī.

Ṭirāz al-majālis

li-Shihāb al-Dīn Aḥmad ibn Muḥammad al-Khafājī.

Kitāb Bahjat al-asrār wa-maʻdan al-anwār fī baʻḍ manāqib al-quṭb al-Rabbānī wa-al-ghawth al-Ṣamadānī wa-al-baḥr al-zākhir al-nūrānī ṣāḥib al-maqām al-ʻalī Muḥyī al-Dīn Abī Muḥammad ʻAbd al-Qādir al-Jīlī

taʼlīf Nūr al-Dīn Abī al-Ḥasan ʻAlī ibn Yūsuf Abī Faḍl al-Shaṭnūbī. Wa-bi-hāmishihi Kitāb Riyāḍ al-basātīn fī akhbār al-Shaykh ʻAbd al-Qādir al-Jīlī Muḥyī al-Dīn taʼlīf Muḥammad al-Amīn al-Kīlānī al-Tūnisī.

Risālah fī al-ʻamal bi-rubʻ al-dāyirah al-ālah al-maʻrūfah / taʼlīf al-Shaykh al-Imām al-ʻAllāmah ʻIzz al-Dīn ʻAbd al-ʻAzīz ibn Muḥammad al-Wafāʼī al-Muwaqqit bi-Jāmiʻ al-Muʼayyad : manuscript, 1673

Unbound.

Hādhā mukhtaṣar kitāb Qaṭf al-azhār min al-Khiṭaṭ wa-al-āthār, mukhtaṣar al-Khiṭaṭ lil-Maqrīzī / lil-Shaykh al-Imām al-ʻĀlim al-ʻAllāmah ... Sibṭ Āl al-Ṣiddīq Mawlānā Abū al-Surūr al-Ṣiddīqī al-Bakrī : manuscript, undated

Written in several hands, in one column, from 17 to 25 lines per page, in black ink, framed within double red lines.

Kitāb Tuḥfat al-silāk fī faḍl al-siwāk / min kalām sayyidinā al-Shaykh al-ʻĀrif billāh taʻālá al-Shaykh Shihāb al-Dīn Abū al-ʻAbbās Aḥmad al-Zāhid : manuscript, undated

Written in several hands, in one column, 23-24 lines per page, in black rubricated in red.

Fatḥ al-ʻazīz li-ahl al-tamyīz : manuscript, [ca. 1686]

Written in one column, 17 lines per page, in black rubricated in red, framed within triple red, golden and black lines.

Tavārīkh-i Chingīzʻnāmah shajarat al-Atrāk : manuscript, undated

Title from fol. 1r.

Kitāb al-Futūḥāt al-Kawwāzīyah fī al-siyāḥah ilá al-arāḍī al-Ḥijāzīyah

taʼlīf ʻAbd Allāh Afandī Bāsh Aʻyānʹzādah.