Here are a few recent articles from the respected Journals Science and Nature. I'm not sure if these are behind the subscription firewall but they are available at most libraries if anyone wants to read them.
P. Foukal1, C. Fröhlich2, H. Spruit3 and T. M. L. Wigley4. 2006. Variations in solar luminosity and their effect on the Earth's climate. Nature. Vol 443. pp 161-166.
(LINK) Variations in the Sun's total energy output (luminosity) are caused by changing dark (sunspot) and bright structures on the solar disk during the 11-year sunspot cycle. The variations measured from spacecraft since 1978 are too small to have contributed appreciably to accelerated global warming over the past 30 years. In this Review, we show that detailed analysis of these small output variations has greatly advanced our understanding of solar luminosity change, and this new understanding indicates that brightening of the Sun is unlikely to have had a significant influence on global warming since the seventeenth century. Additional climate forcing by changes in the Sun's output of ultraviolet light, and of magnetized plasmas, cannot be ruled out. The suggested mechanisms are, however, too complex to evaluate meaningfully at present.
J. Laštovička,1 R. A. Akmaev,2 G. Beig,3 J. Bremer,4 J. T. Emmert. ATMOSPHERE:
Global Change in the Upper Atmosphere. Science. Vol. 314. no. 5803. pp. 1253 - 1254.
(LINK) The trends described above form a consistent pattern of global change in the upper atmosphere at heights above 50 km (see arrows in the figure). The upper atmosphere is generally cooling and contracting, and related changes in chemical composition are affecting the ionosphere. The dominant driver of these trends is increasing greenhouse forcing, although there may be contributions from anthropogenic changes of the ozone layer and long-term increase of geomagnetic activity throughout the 20th century. Thus, the anthropogenic emissions of greenhouse gases influence the atmosphere at nearly all altitudes between ground and space, affecting not only life on the surface but also the spacebased technological systems on which we increasingly rely.
Now if they still believe that the warming trend is the result of increased solar irradiance, here's the data.
Sunspot number is currently declining.
(LINK)The solar constant is decreasing
(LINK).
Temperature is increasing
(LINK).
2005 was the warmest year on record globally
(LINK) and, based on preliminary data, 2006 was the warmest year for the US
(LINK). (El Nino is definitely an influence in 2006 warming.)
Greenhouse gases are increasing.
(LINK) and expected to continue increasing
(LINK).
Here's a good primer on the history of the science behind the greenhouse gas theory of global climate change
(LINK).
Also, I regularly measure downwelling solar irradiance as part of my research. We compare these measurements to a numerical model and a Licor 1800 to check the calibration of our field instruments. The difference between the model and the Licor is basically noise level. We are using a spectral solar constant that was published in the early 80's. Therefore, if solar irradiance has changed it is below the detection limits of my instruments. Even the variations over the 11 year sunspot cycle are below those limits. Now even a tiny change in solar output can affect global climate but even the most generous research in recent solar irradiance output acknowledges that, at best, it can only account for 30% of the warming trend. Other research has shown either a constant or declining solar output over the last several decades.
Real Climate is a blog run by scientists has numerous postings that go into further detail than I did if you want more information
(LINK).