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pro vyhledávání: '"Alexander Kheyfits"'
Autor:
Alexander Kheyfits
The second edition of this well-received textbook is devoted to Combinatorics and Graph Theory, which are cornerstones of Discrete Mathematics. Every section begins with simple model problems. Following their detailed analysis, the reader is led thro
Publikováno v:
Trends in Mathematics ISBN: 9783319425283
The classical M. Riesz theorem on the boundedness of the conjugation operator for harmonic functions and Kolmogorov’s weak-type inequality are proved in the framework of the octonion-valued monogenic functions.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0ff6257bc90c8adb3f2e9fbac5d73921
https://doi.org/10.1007/978-3-319-42529-0_3
https://doi.org/10.1007/978-3-319-42529-0_3
Autor:
Alexander Kheyfits
Publikováno v:
Proceedings of the American Mathematical Society. 134:2943-2950
The classical Beurling-Nevanlinna upper bound for subharmonic functions is extended to subsolutions of the stationary Schrödinger equation.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1ed54a88172b9c8327b9109d90702b01
https://doi.org/10.1090/s0002-9939-06-08333-x
https://doi.org/10.1090/s0002-9939-06-08333-x
Autor:
Alexander Kheyfits, Dmitry Kheyfitsy
Publikováno v:
Journal of Interdisciplinary Mathematics. 8:215-225
Fisher’s α is a diversity index, widely used in population statistics, ecology, and many other applications. We derive an explicit closed-form representation for α and discuss its computations based on this formula and on its representation throu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6ffb0ff4e477e0f0fb3a9b736c6440ef
https://doi.org/10.1080/09720502.2005.10700403
https://doi.org/10.1080/09720502.2005.10700403
Autor:
Alexander Kheyfits
Publikováno v:
Potential Analysis. 16:93-101
Each nonzero solution of the stationary Schrodinger equation Δu(x)−c(r)u(x)=0 in R n with a nonnegative radial potential c(r) must have certain minimal growth at infinity. If r 2 c(r)=O(1), r→∞, then a solution having power growth at infinity,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7a68a5cb98c30f6bbc25b0edd29bae13
https://doi.org/10.1023/a:1024872826453
https://doi.org/10.1023/a:1024872826453
Autor:
Alexander Kheyfits
Publikováno v:
Complex Variables, Theory and Application: An International Journal. 46:15-30
Lower estimates of generalized subharmonic functions, associated with the stationary Schrodinger operator, and upper estimates of their differences are proved outside of some exceptional sets.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c0aa9606d57162182ddb9b246e2039d4
https://doi.org/10.1080/17476930108815394
https://doi.org/10.1080/17476930108815394
Autor:
Alexander Kheyfits
Publikováno v:
Advances in Harmonic Analysis and Operator Theory ISBN: 9783034805155
Matsaev’s theorem on the growth of entire functions admitting some lower bounds is extended to subsolutions of the stationary Schrodinger equation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ca849104064cf5b47a4de79cc874be70
https://doi.org/10.1007/978-3-0348-0516-2_12
https://doi.org/10.1007/978-3-0348-0516-2_12
Publikováno v:
Journal of Physics: Conference Series. 670:012017
The classical theorem of M. Riesz about the conjugate harmonic functions is extended onto octonion-valued monogenic functions.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ab7e7cad108cda829719d78985f0e1a7
https://doi.org/10.1088/1742-6596/670/1/012017
https://doi.org/10.1088/1742-6596/670/1/012017
Autor:
Alexander Kheyfits
Publikováno v:
A Primer in Combinatorics
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1ed7f30ddaa9c76b248fcf7d4df9ad28
https://doi.org/10.1515/9783110226744.2.177
https://doi.org/10.1515/9783110226744.2.177