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Endre Makai
Endre Makai
Hungarian Academy of Sciences Alfréd Rényi Institute of Mathematics HU–1364 Budapest
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H. Martini
H. Martini
Hungarian Academy of Sciences Alfréd Rényi Institute of Mathematics HU–1364 Budapest
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T. Odor
T. Odor
Hungarian Academy of Sciences Alfréd Rényi Institute of Mathematics HU–1364 Budapest
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In a recent paper the authors have proved that a convex body K R d, d = 2, containing the origin O in its interior, is symmetric with respect to O if and only if V d - 1 (K \ H0) = V d - 1 (K \ H) for all hyperplanes H;H0 such that H and H0 are parallel and H0 3 O (V d - 1 is (d - 1){measure). For the proof the authors have employed a new type of integro-differential transform that lets to correspond to a suficiently nice function f on S d - 1 the function R (1) f, where(R (1) f)(.)= R S d - 1 \ . ? (f=)d {with. 2 S d - 1 as pole and as geographic latitude {and have determined the null-space of the operator R (1) . In this paper we extend the definition to any integer m = 1, defining (R (m) f)(.) analogously as for m=1, but using m f= m rather than f= . (Thecasem=0 is the spherical Radon transformation (Funk transformation).) We investigate the null-space of the operator R (m) : up to a summand of finite dimension, it consists of the even (odd) functions in the domain of the operator, for m odd (even). For the proof we use spherical harmonics.
Editors in Chief
Gábor SIMONYI (Rényi Institute of Mathematics)
András STIPSICZ (Rényi Institute of Mathematics)
Géza TÓTH (Rényi Institute of Mathematics)
Managing Editor
Gábor SÁGI (Rényi Institute of Mathematics)
Editorial Board
- Imre BÁRÁNY (Rényi Institute of Mathematics)
- Károly BÖRÖCZKY (Rényi Institute of Mathematics and Central European University)
- Péter CSIKVÁRI (ELTE, Budapest)
- Joshua GREENE (Boston College)
- Penny HAXELL (University of Waterloo)
- Andreas HOLMSEN (Korea Advanced Institute of Science and Technology)
- Ron HOLZMAN (Technion, Haifa)
- Satoru IWATA (University of Tokyo)
- Tibor JORDÁN (ELTE, Budapest)
- Roy MESHULAM (Technion, Haifa)
- Frédéric MEUNIER (École des Ponts ParisTech)
- Márton NASZÓDI (ELTE, Budapest)
- Eran NEVO (Hebrew University of Jerusalem)
- János PACH (Rényi Institute of Mathematics)
- Péter Pál PACH (BME, Budapest)
- Andrew SUK (University of California, San Diego)
- Zoltán SZABÓ (Princeton University)
- Martin TANCER (Charles University, Prague)
- Gábor TARDOS (Rényi Institute of Mathematics)
- Paul WOLLAN (University of Rome "La Sapienza")
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
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| SJR index | 0.305 |
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| 2023 | |
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| CiteScore | 1.3 |
| CiteScore rank | Q2 (General Mathematics) |
| SNIP | 0.705 |
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| SJR index | 0.239 |
| SJR Q rank | Q3 |
| Studia Scientiarum Mathematicarum Hungarica | |
|---|---|
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| Studia Scientiarum Mathematicarum Hungarica | |
|---|---|
| Language | English French German |
| Size | B5 |
| Year of Foundation |
1966 |
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1 |
| Issues per Year |
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| Founder | Magyar Tudományos Akadémia  |
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| ISSN | 0081-6906 (Print) |
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