Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
Functional equations on hypergroups [[electronic resource] /] / Laszlo Szekelyhidi
| Functional equations on hypergroups [[electronic resource] /] / Laszlo Szekelyhidi |
| Autore | Székelyhidi László |
| Pubbl/distr/stampa | Singapore, : World Scientific, 2013 |
| Descrizione fisica | 1 online resource (210 p.) |
| Disciplina | 515.75 |
| Soggetto topico |
Functional equations
Inequalities (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-73939-9
981-4407-01-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; 1. Introduction; 1.1 Basic concepts and facts; 1.2 Convolution of subsets; 1.3 Invariant means on hypergroups; 1.4 Haar measure on hypergroups; 1.5 Exponential functions on hypergroups; 1.6 Exponential families on hypergroups; 1.7 Additive and multi-additive functions on hypergroups; 1.8 Moment functions on hypergroups; 1.9 Exponentials and additive functions on a special hypergroup; 2. Polynomial hypergroups in one variable; 2.1 Polynomial hypergroups in one variable; 2.2 Exponential and additive functions on polynomial hypergroups
2.3 Moment functions on polynomial hypergroups2.4 Moment functions on the SU(2)-hypergroup; 3. Polynomial hypergroups in several variables; 3.1 Polynomial hypergroups in several variables; 3.2 Exponential and additive functions on multivariate polynomial hypergroups; 3.3 Moment function sequences on multivariate polynomial hypergroups; 4. Sturm-Liouville hypergroups; 4.1 Sturm-Liouville functions; 4.2 Exponentials and additive functions on Sturm-Liouville hypergroups; 4.3 Moment functions on Sturm-Liouville hypergroups; 5. Two-point support hypergroups; 5.1 Conditional functional equations 5.2 Two-point support hypergroups of noncompact type5.3 Moment functions on two-point support hypergroups of noncompact type; 5.4 Two-point support hypergroups of compact type; 5.5 The cosh hypergroup; 5.6 Associated pairs of moment functions; 6. Spectral analysis and synthesis on polynomial hypergroups; 6.1 Spectral analysis and spectral synthesis on hypergroups; 6.2 Basic concepts and facts; 6.3 Spectral analysis on polynomial hypergroups in a single variable; 6.4 Exponential polynomials on polynomial hypergroups in a single variable 6.5 Spectral synthesis on polynomial hypergroups in a single variable6.6 Spectral analysis and spectral synthesis on multivariate polynomial hypergroups; 6.7 Spectral analysis and moment functions; 7. Spectral analysis and synthesis on Sturm-Liouville hypergroups; 7.1 Exponential monomials on Sturm-Liouville hypergroups; 7.2 Linear independence of special exponential monomials; 7.3 Spectral analysis on Sturm-Liouville hypergroups; 8. Moment problems on hypergroups; 8.1 The moment problem in general; 8.2 Uniqueness on polynomial hypergroups; 8.3 The case of Sturm-Liouville hypergroups 8.4 An approximation result9. Special functional equations on hypergroups; 9.1 The sine functional equation on polynomial hypergroups; 9.2 The cosine functional equation on polynomial hypergroups; 9.3 The Levi-Civita functional equation; 10. Difference equations on polynomial hypergroups; 10.1 Introduction; 10.2 Difference equations with 1-translation; 10.3 Difference equations with general translation; 11. Stability problems on hypergroups; 11.1 Stability of exponential functions on hypergroups; 11.2 Stability of additive functions on hypergroups 11.3 Superstability of a mixed-type functional equation |
| Record Nr. | UNINA-9910464803403321 |
Székelyhidi László
|
||
| Singapore, : World Scientific, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Functional equations on hypergroups [[electronic resource] /] / Laszlo Szekelyhidi
| Functional equations on hypergroups [[electronic resource] /] / Laszlo Szekelyhidi |
| Autore | Székelyhidi László |
| Pubbl/distr/stampa | Singapore, : World Scientific, 2013 |
| Descrizione fisica | 1 online resource (210 p.) |
| Disciplina | 515.75 |
| Soggetto topico |
Functional equations
Inequalities (Mathematics) |
| ISBN |
1-283-73939-9
981-4407-01-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; 1. Introduction; 1.1 Basic concepts and facts; 1.2 Convolution of subsets; 1.3 Invariant means on hypergroups; 1.4 Haar measure on hypergroups; 1.5 Exponential functions on hypergroups; 1.6 Exponential families on hypergroups; 1.7 Additive and multi-additive functions on hypergroups; 1.8 Moment functions on hypergroups; 1.9 Exponentials and additive functions on a special hypergroup; 2. Polynomial hypergroups in one variable; 2.1 Polynomial hypergroups in one variable; 2.2 Exponential and additive functions on polynomial hypergroups
2.3 Moment functions on polynomial hypergroups2.4 Moment functions on the SU(2)-hypergroup; 3. Polynomial hypergroups in several variables; 3.1 Polynomial hypergroups in several variables; 3.2 Exponential and additive functions on multivariate polynomial hypergroups; 3.3 Moment function sequences on multivariate polynomial hypergroups; 4. Sturm-Liouville hypergroups; 4.1 Sturm-Liouville functions; 4.2 Exponentials and additive functions on Sturm-Liouville hypergroups; 4.3 Moment functions on Sturm-Liouville hypergroups; 5. Two-point support hypergroups; 5.1 Conditional functional equations 5.2 Two-point support hypergroups of noncompact type5.3 Moment functions on two-point support hypergroups of noncompact type; 5.4 Two-point support hypergroups of compact type; 5.5 The cosh hypergroup; 5.6 Associated pairs of moment functions; 6. Spectral analysis and synthesis on polynomial hypergroups; 6.1 Spectral analysis and spectral synthesis on hypergroups; 6.2 Basic concepts and facts; 6.3 Spectral analysis on polynomial hypergroups in a single variable; 6.4 Exponential polynomials on polynomial hypergroups in a single variable 6.5 Spectral synthesis on polynomial hypergroups in a single variable6.6 Spectral analysis and spectral synthesis on multivariate polynomial hypergroups; 6.7 Spectral analysis and moment functions; 7. Spectral analysis and synthesis on Sturm-Liouville hypergroups; 7.1 Exponential monomials on Sturm-Liouville hypergroups; 7.2 Linear independence of special exponential monomials; 7.3 Spectral analysis on Sturm-Liouville hypergroups; 8. Moment problems on hypergroups; 8.1 The moment problem in general; 8.2 Uniqueness on polynomial hypergroups; 8.3 The case of Sturm-Liouville hypergroups 8.4 An approximation result9. Special functional equations on hypergroups; 9.1 The sine functional equation on polynomial hypergroups; 9.2 The cosine functional equation on polynomial hypergroups; 9.3 The Levi-Civita functional equation; 10. Difference equations on polynomial hypergroups; 10.1 Introduction; 10.2 Difference equations with 1-translation; 10.3 Difference equations with general translation; 11. Stability problems on hypergroups; 11.1 Stability of exponential functions on hypergroups; 11.2 Stability of additive functions on hypergroups 11.3 Superstability of a mixed-type functional equation |
| Record Nr. | UNINA-9910789346703321 |
|
Székelyhidi László
|
||
| Singapore, : World Scientific, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||