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Author : Guy Johnson
Publisher : Unknown
Page : 90 pages
File Size : 43,9 Mb
Release : 1960
Category : Harmonic functions
ISBN : UOM:39015095257724
Author : Guy Johnson
Publisher : Unknown
Page : 66 pages
File Size : 45,9 Mb
Release : 1961
Category : Harmonic analysis
ISBN : UOM:39015095248392
A general definition for harmonic support with respect to a class of functionals is stated. The existence of a harmonic support for a real analytic function along an analytic arc on which the Laplacian is positive is proved. Applications are made to the study of convexity in complex analytic function theory.
Author : Anonim
Publisher : Unknown
Page : 204 pages
File Size : 53,6 Mb
Release : 1960
Category : Science
ISBN : UIUC:30112101035910
Author : Anonim
Publisher : Unknown
Page : 584 pages
File Size : 43,7 Mb
Release : 1961
Category : Mathematics
ISBN : UCAL:B3627870
Author : United States. Air Force. Office of Scientific Research
Publisher : Unknown
Page : 940 pages
File Size : 44,5 Mb
Release : 1960
Category : Research
ISBN : OSU:32435061404661
Author : Anonim
Publisher : Unknown
Page : 788 pages
File Size : 51,7 Mb
Release : 2024-06-28
Category : Aeronautics
ISBN : STANFORD:36105211293415
Author : United States. Air Force. Office of Aerospace Research
Publisher : Unknown
Page : 800 pages
File Size : 40,7 Mb
Release : 1959
Category : Aeronautics, Military
ISBN : CORNELL:31924057100251
Author : Anonim
Publisher : Unknown
Page : 936 pages
File Size : 48,9 Mb
Release : 1960
Category : Aeronautics
ISBN : UOM:39015021266484
Author : Library of Congress. Science and Technology Division
Publisher : Unknown
Page : 940 pages
File Size : 47,8 Mb
Release : 1961
Category : Military research
ISBN : OSU:32435051670537
Author : Library of Congress. Science and Technology Division
Publisher : Unknown
Page : 932 pages
File Size : 49,7 Mb
Release : 1961
Category : Military research
ISBN : MINN:30000010501215
Author : American Mathematical Society
Publisher : Unknown
Page : 1034 pages
File Size : 53,8 Mb
Release : 1959
Category : Electronic journals
ISBN : UCSD:31822020215364
Author : V.I. Danilov,V.V. Shokurov
Publisher : Springer Science & Business Media
Page : 314 pages
File Size : 43,6 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9783642578786
"... To sum up, this book helps to learn algebraic geometry in a short time, its concrete style is enjoyable for students and reveals the beauty of mathematics." --Acta Scientiarum Mathematicarum
Author : Anonim
Publisher : Unknown
Page : 1206 pages
File Size : 42,8 Mb
Release : 1961
Category : Science
ISBN : UIUC:30112116716330
Author : H. Groemer
Publisher : Cambridge University Press
Page : 343 pages
File Size : 44,7 Mb
Release : 1996-09-13
Category : Mathematics
ISBN : 9780521473187
This book provides a comprehensive presentation of geometric results, primarily from the theory of convex sets, that have been proved by the use of Fourier series or spherical harmonics. An important feature of the book is that all necessary tools from the classical theory of spherical harmonics are presented with full proofs. These tools are used to prove geometric inequalities, stability results, uniqueness results for projections and intersections by hyperplanes or half-spaces and characterisations of rotors in convex polytopes. Again, full proofs are given. To make the treatment as self-contained as possible the book begins with background material in analysis and the geometry of convex sets. This treatise will be welcomed both as an introduction to the subject and as a reference book for pure and applied mathematics.
Author : J. L. Doob
Publisher : Springer Science & Business Media
Page : 865 pages
File Size : 42,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461252085
Potential theory and certain aspects of probability theory are intimately related, perhaps most obviously in that the transition function determining a Markov process can be used to define the Green function of a potential theory. Thus it is possible to define and develop many potential theoretic concepts probabilistically, a procedure potential theorists observe withjaun diced eyes in view of the fact that now as in the past their subject provides the motivation for much of Markov process theory. However that may be it is clear that certain concepts in potential theory correspond closely to concepts in probability theory, specifically to concepts in martingale theory. For example, superharmonic functions correspond to supermartingales. More specifically: the Fatou type boundary limit theorems in potential theory correspond to supermartingale convergence theorems; the limit properties of monotone sequences of superharmonic functions correspond surprisingly closely to limit properties of monotone sequences of super martingales; certain positive superharmonic functions [supermartingales] are called "potentials," have associated measures in their respective theories and are subject to domination principles (inequalities) involving the supports of those measures; in each theory there is a reduction operation whose properties are the same in the two theories and these reductions induce sweeping (balayage) of the measures associated with potentials, and so on.
