Results 61 to 70 of about 8,944,209 (378)

Functional Equations and Fourier Analysis

open access: yes, 2010
By exploring the relations among functional equations, harmonic analysis and representation theory, we give a unified and very accessible approach to solve three important functional equations -- the d'Alembert equation, the Wilson equation, and the d ...
Akkouchi   +5 more
core   +1 more source

Modifications in FLAP's second cytosolic loop influence 5‐LOX interaction, inhibitor binding, and leukotriene formation

open access: yesFEBS Letters, EarlyView.
The enzyme 5‐lipoxygenase (5‐LOX) catalyzes the first step in the biosynthesis of leukotrienes (LTs) involved in inflammatory pathophysiology. After cellular stimulation, 5‐LOX translocates to the nucleus, interacting with the 5‐LOX‐activating protein (FLAP) to form LTA4 from arachidonic acid (AA).
Erik Romp   +5 more
wiley   +1 more source

HYPERSTABILITY OF THE GENERAL LINEAR FUNCTIONAL EQUATION

open access: yes, 2015
where a, b ∈ F \ {0}, A,B ∈ K. We see that for a = b = A = B = 1 in (1) we get the Cauchy equation while the Jensen equation corresponds to a = b = A = B = 1 2 .
M. Piszczek
semanticscholar   +1 more source

The carboxylate “gripper” of the substrate is critical for C‐4 stereo‐inversion by UDP‐glucuronic acid 4‐epimerase

open access: yesFEBS Letters, EarlyView.
UDP‐glucuronic acid 4‐epimerase (UGAepi) catalyzes NAD+‐dependent interconversion of UDP‐glucuronic acid (UDP‐GlcA) and UDP‐galacturonic acid (UDP‐GalA) via C4‐oxidation, 4‐keto‐intermediate rotation, and C4‐reduction. Here, Borg et al. examined the role of the substrate's carboxylate group in the enzymic mechanism by analyzing NADH‐dependent reduction
Annika J. E. Borg   +2 more
wiley   +1 more source

Solution and stability of a reciprocal type functional equation in several variables

open access: yes, 2015
In this paper, we obtain the general solution and investigate the generalized Hyers-Ulam stability of a reciprocal type functional equation in several variables of the form ∏m i=2 r(x1 + xi) ∑m i=2 [∏m j=2,j 6=i r(x1 + xj) ] = ∏mi=1 r(xi) ∑m i=2 r(x1 ...
K. Ravi, E. Thandapani, B. S. Kumar
semanticscholar   +1 more source

The thioredoxin‐like and one glutaredoxin domain are required to rescue the iron‐starvation phenotype of HeLa GLRX3 knock out cells

open access: yesFEBS Letters, EarlyView.
Glutaredoxin (Grx) 3 proteins contain a thioredoxin domain and one to three class II Grx domains. These proteins play a crucial role in iron homeostasis in eukaryotic cells. In human Grx3, at least one of the two Grx domains, together with the thioredoxin domain, is essential for its function in iron metabolism.
Laura Magdalena Jordt   +4 more
wiley   +1 more source

A variant of Wilson's functional equation

open access: yes, 2015
In the present paper we determine the complex-valued solutions (f, g) of the functional equation f(xy) + f(σ(y)x) = 2f(x)g(y), in the setting of groups and monoids that need not be abelian, where σ is an involutive automorphism.
B. Fadli, D. Zeglami, S. Kabbaj
semanticscholar   +1 more source

A functional equation and degenerate principal series [PDF]

open access: yes, 2013
A functional equation between the zeta distributions can be obtained from the theory of prehomogeneous vector spaces. We show that the functional equation can be extended from the Schwartz space to certain degenerate principal series.Comment: 17 ...
Lee, Juhyung
core  

The Functional Equation and Beyond Endoscopy

open access: yes, 2012
In his paper "Beyond Endoscopy," Langlands tries to understand functoriality via poles of L-functions. The following paper further investigates the analytic continuation of a L-function associated to a $GL_2$ automorphic form through the trace formula ...
Herman, P. Edward
core   +1 more source

In vivo evidence for glycyl radical insertion into a catalytically inactive variant of pyruvate formate‐lyase

open access: yesFEBS Letters, EarlyView.
Dimeric pyruvate formate‐lyase cleaves pyruvate using a radical‐based mechanism. G734 serves as a radical storage location, and the radical is transferred to the catalytic C419 residue. Mutation of the C418‐C419 pair causes loss of enzyme activity, but does not impede radical introduction onto G734. Therefore, cis‐ but not trans‐radical transfer occurs
Michelle Kammel   +2 more
wiley   +1 more source

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