75 research outputs found
Analysis of the archetypal functional equation in the non-critical case
We study the archetypal functional equation of the form (), where is a probability measure on ; equivalently, , where is expectation with respect to the distribution of random coefficients . Existence of non-trivial (i.e. non-constant) bounded continuous solutions is governed by the value ; namely, under mild technical conditions no such solutions exist whenever (and ) then there is a non-trivial solution constructed as the distribution function of a certain random series representing a self-similar measure associated with . Further results are obtained in the supercritical case , including existence, uniqueness and a maximum principle. The case with is drastically different from that with ; in particular, we prove that a bounded solution possessing limits at must be constant. The proofs employ martingale techniques applied to the martingale , where is an associated Markov chain with jumps of the form
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Prevention and rehabilitation after heart transplantation: A clinical consensus statement of the European Association of Preventive Cardiology, Heart Failure Association of the ESC, and the European Cardio Thoracic Transplant Association, a section of ESOT.
Little is known either about either physical activity patterns, or other lifestyle-related prevention measures in heart transplantation (HTx) recipients. The history of HTx started more than 50 years ago but there are still no guidelines or position papers highlighting the features of prevention and rehabilitation after HTx. The aims of this scientific statement are (i) to explain the importance of prevention and rehabilitation after HTx, and (ii) to promote the factors (modifiable/non-modifiable) that should be addressed after HTx to improve patients' physical capacity, quality of life and survival. All HTx team members have their role to play in the care of these patients and multidisciplinary prevention and rehabilitation programmes designed for transplant recipients. HTx recipients are clearly not healthy disease-free subjects yet they also significantly differ from heart failure patients or those who are supported with mechanical circulatory support. Therefore, prevention and rehabilitation after HTx both need to be specifically tailored to this patient population and be multidisciplinary in nature. Prevention and rehabilitation programmes should be initiated early after HTx and continued during the entire post-transplant journey. This clinical consensus statement focuses on the importance and the characteristics of prevention and rehabilitation designed for HTx recipients
Recommended from our members
Prevention and rehabilitation after heart transplantation: A clinical consensus statement of the European Association of Preventive Cardiology, Heart Failure Association of the ESC, and the European Cardio Thoracic Transplant Association, a section of ESOT.
Little is known either about either physical activity patterns, or other lifestyle-related prevention measures in heart transplantation (HTx) recipients. The history of HTx started more than 50 years ago but there are still no guidelines or position papers highlighting the features of prevention and rehabilitation after HTx. The aims of this scientific statement are (i) to explain the importance of prevention and rehabilitation after HTx, and (ii) to promote the factors (modifiable/non-modifiable) that should be addressed after HTx to improve patients' physical capacity, quality of life and survival. All HTx team members have their role to play in the care of these patients and multidisciplinary prevention and rehabilitation programmes designed for transplant recipients. HTx recipients are clearly not healthy disease-free subjects yet they also significantly differ from heart failure patients or those who are supported with mechanical circulatory support. Therefore, prevention and rehabilitation after HTx both need to be specifically tailored to this patient population and be multidisciplinary in nature. Prevention and rehabilitation programmes should be initiated early after HTx and continued during the entire post-transplant journey. This clinical consensus
The total variation of the tensor product Bernstein-Bezier operator
SIGLEAvailable from Bibliothek des Instituts fuer Weltwirtschaft, ZBW, Duesternbrook Weg 120, D-24105 Kiel / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman
A generalization of a result of G. Pólya and its application to a continuous extension of the de la Vallée Poussin means
AbstractVariation diminishing properties are established for the periodic kernels (1+cost)λ,λ=12+n,n∈Z+. On the real axis, there are related variation diminishing properties of the functions umsgnu, which are the Green’s functions for the differential operator D(m+1)
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