Radon inversion formulas over local fields

Let $F$ be a local field and $n\ge 2$ an integer. We study the Radon transform as an operator $M : \mathcal C_+ \to \mathcal C_-$ from the space of smooth $K$-finite functions on $F^n \setminus \{0\}$ with bounded support to the space of smooth $K$-finite functions on $F^n \setminus \{0\}$ supported away from a neighborhood of $0$. These spaces naturally arise in the theory of automorphic forms. We prove that $M$ is an isomorphism and provide formulas for $M^{-1}$. In the real case, we show that when $K$-finiteness is dropped from the definitions, the analog of $M$ is not surjective.Comment: 16 page

Tower Topics: Honor and Honors (article for THE ECHO)

In the Taylor program the honor principle is very important, both in our academic life and in the social and spiritual phases of our living. Now I would like to emphasize honors. The honors program has both formal and informal aspects

Spiritual writings and religious instruction

As soon as a would-be writer picked up the pen in this period, he (or just occasionally she) had to make a far-reaching decision: whether to write in English, Anglo-Norman or Latin. The answer would emerge from the intersection of the text's genre and of the gender, social and religious status of both the writer and the planned audience. Until around 1300, Latin texts would be read almost exclusively by male clerics and vernacular texts by the laity of both sexes and by women religious, though Anglo-Norman texts might be aimed at a slightly higher social class than those in Middle English. But Latin texts might also function as scripts for oral transmission by priests to their parishioners in English, while male clerics did read, and own, texts in French and English as well as Latin. In the fourteenth century, however, `a new, more pragmatic view of the appropriate language' developed. The choice of French or English became `fundamentally a political decision - whether to address the rulers or the ruled. The writers themselves, nearly always clerics, are those with education who are for that reason part of the establishment of power. In composing in English they are addressing the unlearned, sometimes to edify, sometimes to entertain, always to instruct.

Raising students' awareness of cross-cultural contrastive rhetoric in English writing via an e-learning course

This study investigated the potential impact of e-learning on raising overseas students' cultural awareness and explored the possibility of creating an interactive learning environment for them to improve their English academic writing. The study was based on a comparison of Chinese and English rhetoric in academic writing, including a comparison of Chinese students' writings in Chinese with native English speakers' writings in English and Chinese students' writings in English with the help of an e-course and Chinese students' writings in English without the help of an e-course. Five features of contrastive rhetoric were used as criteria for the comparison. The experimental results show that the group using the e-course was successful in learning about defined aspects of English rhetoric in academic writing, reaching a level of performance that equalled that of native English speakers. Data analysis also revealed that e-learning resources helped students to compare rhetorical styles across cultures and that the interactive learning environment was effective in improving overseas students' English academic writing

John of the Cross: Selected Writings

Reviewed Book: John of the Cross, Saint. John of the Cross: Selected Writings. New York: Paulist Press, 1987. Reviewed Book: Bernard, of Clairvaux, Saint. Selected Works. New York: Paulist Press, 1987