The Local Theory of Smooth Functions

2008 ◽  
pp. 41-85
Keyword(s):  
Local Theory ◽  
Smooth Functions

Some results of the local theory of smooth functions

2007 ◽  
Vol 59 (2) ◽  
pp. 243-292 ◽  
Author(s):  
A. M. Samoilenko
Keyword(s):  
Local Theory ◽  
Smooth Functions

The Local Theory of Smooth Functions

1993 ◽  
pp. 25-66
Author(s):  
Lawrence Conlon
Keyword(s):  
Local Theory ◽  
Smooth Functions

Non-local theory of high-rate straining followed by structure formations

2000 ◽  
Vol 10 (PR9) ◽  
pp. Pr9-485-Pr9-490 ◽  
Author(s):  
T. A. Khantuleva
Keyword(s):  
High Rate ◽  
Local Theory ◽  
Non Local

Approximation properties of repeated de la Vallée-Poussin means for piecewise smooth functions

2017 ◽  
Vol 60 (3) ◽  
pp. 695-713
Author(s):  
I. I. Sharapudinov ◽  
T. I. Sharapudinov ◽  
M. G. Magomed-Kasumov
Keyword(s):  
Piecewise Smooth ◽  
Approximation Properties ◽  
Smooth Functions ◽  
Piecewise Smooth Functions

scholarly journals Heterogeneous Urban Exposures and Prevalent Hypertension in the Helsinki Capital Region, Finland

2021 ◽  
Vol 18 (3) ◽  
pp. 1196
Author(s):  
Enembe O. Okokon ◽  
Tarja Yli-Tuomi ◽  
Taina Siponen ◽  
Pekka Tiittanen ◽  
Anu W. Turunen ◽  
...  
Keyword(s):  
Antihypertensive Medication ◽  
Green Space ◽  
Road Traffic ◽  
Traffic Noise ◽  
Fine Particulate Matter ◽  
Binary Logistic Regression ◽  
Wood Smoke ◽  
Road Traffic Noise ◽  
Smooth Functions ◽  
Capital Region

Urban dwellers are simultaneously exposed to several environmental health risk factors. This study aimed to examine the relationship between long-term exposure to fine particulate matter (PM2.5, diameter < 2.5 µm) of residential-wood-burning and road-traffic origin, road-traffic noise, green space around participants’ homes, and hypertension. In 2015 and 2016, we conducted a survey of residents of the Helsinki Capital Region to determine their perceptions of environmental quality and safety, lifestyles, and health statuses. Recent antihypertensive medication was used as an indicator of current hypertensive illness. Individual-level exposure was estimated by linking residential coordinates with modelled outdoor levels of wood-smoke- and traffic-related PM2.5, road-traffic noise, and coverage of natural spaces. Relationships between exposure and hypertension were modelled using multi-exposure and single-exposure binary logistic regression while taking smooth functions into account. Twenty-eight percent of the participants were current users of antihypertensive medication. The odds ratios (95% confidence interval) for antihypertensive use were 1.12 (0.78–1.57); 0.97 (0.76–1.26); 0.98 (0.93–1.04) and 0.99 (0.94–1.04) for wood-smoke PM2.5, road-traffic PM2.5, road-traffic noise, and coverage of green space, respectively. We found no evidence of an effect of the investigated urban exposures on prevalent hypertension in the Helsinki Capital Region.

scholarly journals Estimates for n-widths of sets of smooth functions on complex spheres

2020 ◽  
pp. 101537
Author(s):  
Deimer J.J. Aleans ◽  
Sergio A. Tozoni
Keyword(s):  
Smooth Functions

scholarly journals Hearing the shape of a compact Riemannian manifold with a finite number of piecewise impedance boundary conditions

1997 ◽  
Vol 20 (2) ◽  
pp. 397-402 ◽  
Author(s):  
E. M. E. Zayed
Keyword(s):  
Riemannian Manifold ◽  
Boundary Conditions ◽  
Finite Number ◽  
Spectral Function ◽  
Compact Riemannian Manifold ◽  
Smooth Boundary ◽  
Beltrami Operator ◽  
Smooth Functions ◽  
Impedance Boundary ◽  
Impedance Boundary Conditions

The spectral functionΘ(t)=∑i=1∞exp(−tλj), where{λj}j=1∞are the eigenvalues of the negative Laplace-Beltrami operator−Δ, is studied for a compact Riemannian manifoldΩof dimension “k” with a smooth boundary∂Ω, where a finite number of piecewise impedance boundary conditions(∂∂ni+γi)u=0on the parts∂Ωi(i=1,…,m)of the boundary∂Ωcan be considered, such that∂Ω=∪i=1m∂Ωi, andγi(i=1,…,m)are assumed to be smooth functions which are not strictly positive.

Local Theory

1972 ◽  
pp. 1-135
Author(s):  
Roger Godement ◽  
Hervé Jacquet
Keyword(s):  
Local Theory
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