By using spectral expansions in global automorphic Levi–Sobolev spaces, we estimate an average of the first Fourier coefficients of Maass cusp forms for SL2(Z), producing a soft estimate on the first numerical Fourier coefficients of Maass cusp forms, which is an example of a general technique for estimates on compact periods via application of a pre–trace formula. Incidentally, this shows that...

In this paper, we present a new approach for solving absolute value equation (AVE) whichuse Levenberg-Marquardt method with conjugate subgradient structure. In conjugate subgradientmethods the new direction obtain by combining steepest descent direction and the previous di-rection which may not lead to good numerical results. Therefore, we replace the steepest descentdir...

background: in most of defecography films, the symphysis pubis is obscured, especially in obese patients, and the parameters will change in values if x-ray is interpreted by different reviewers or if the patient changes his/her position between the phases. this study was carried out to determine how to do the defecography to obtain fixed parameters. â  methods: eighty patients that had been can...

Goal of Conference 2 1. Matt Emerton: Classical Modular Forms to Automorphic Forms 2 1.1. The Growth Condition 3 1.2. Passage to Representation Theory 4 2. David Nadler: Real Lie Groups 5 2.1. Basic Notions 5 2.2. Examples 5 2.3. Classification 6 2.4. Useful Decompositions 7 3. Jacob Lurie: Lie Theory and Algebraic Groups 8 3.1. Classification 9 4. Jacob Lurie: Representations of algebraic grou...

A classical result of Massera in his landmark paper [1] says that a necessary and sufficient condition for an ω-periodic linear scalar ordinary differential equation to have an ω-periodic solution is that it has a bounded solution on the positive half line. Since then, there has been an increasing interest in extending this classical result to various classes of functions (such as anti-periodic...

Automorphic Lie Algebras are interesting because of their fundamental nature and their role in our understanding of symmetry. Particularly crucial is their description and classification as it allows us to understand and apply them in different contexts, from mathematics to physical sciences. While the problem of classification of Automorphic Lie Algebras with dihedral symmetry was already cons...

We find a criterion for a morphism of coalgebras over a Barr-exact category to be effective descent and determine (effective) descent morphisms for coalgebras over toposes in some cases. Also, we study some exactness properties of endofunctors of arbitrary categories in connection with natural transformations between them as well as those of functors that these transformations induce between co...